Divide the rectangle into 2 equal parts.
ng Out
Write an equation that represents this.
(# of Pieces I started with) = (how many equal parts)
÷

Answers

Answer 1

The equation that represents dividing the rectangle into two equal parts is:

W * L/4 = A/2

How to explain the equation

Assuming that we want to divide the rectangle into two equal parts by a straight line passing through its center, we can represent the rectangle's dimensions as follows:

Let L be the length of the rectangle, and let W be its width. Then the area of the rectangle is A = L * W.

Therefore, to divide the rectangle into two equal parts, we need to draw a line that passes through the center of the rectangle and divides it into two parts with equal areas.

Let x be the distance of the dividing line from one of the shorter sides of the rectangle. Then, the length of the two parts of the rectangle is equal, which means:

L/2 - x = x

Solving for x, we get:

x = L/4

Therefore, the equation that represents dividing the rectangle into two equal parts is: W * L/4 = A/2

This equation says that if we take the width of the rectangle and multiply it by one-fourth of its length, we get half of the rectangle's area, which represents dividing it into two equal parts.

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Related Questions

Helppppp quick please!!

Answers

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

(x+1)(x-4) = (x+1)(x+2)

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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Circle O is shown below. Which of the statements below are correct? Choose all that are correct. A. mAC=156° B. mAC=200° C. m∠ACB=44° D. m∠BAC=58° E. m∠BAC=28° F. m∠ACB=22°

Answers

The statements that are correct are:

m∠ACB = 44° (Option B)

m∡AC = 156° (Option C)

What is the explanation for the above response?


A) m∠ACB = 44° is correct because the Circle Theorem indicates that the angle at the center is twice or double the one at the circumference.

Since, the one at the center is already 88°, thus, the one at the angle at the circumference = 88°/2 = 44°

Hence, m∠ACB = 44° (Option B) is correct.


B) m∡AC = 156° (Option C)

To get this, we need to state,

360° - 116° - 88° = 156° (Option C)

C) m∡ BAC should be determined using Alternate Segment Theorem.

According to this theorem which states that the angle that lies between a tangent c and a chord is equal to the angle subtended by the same chord in the alternate segment,

∠BAC is supposed to be equal to ∠GAC - ∠GAB

That is:

∠BAC = 90° - 44°
∠BAC = 46°

However, this is questionable because, we have proven that ∠BAO = (180-88)/2 = 46° (Isoceles Δ BOA created by shared Radii)

Thus,

∠BAC = 46°  cannot be equal to ∠BAO.

Thus, the only right answers are:

Option B and

Option C.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached image.

Aniyah has 23 cups of oats in one container. She has 4 cups of oats another container. How many cups of cats does she have in total?​

Answers

Answer:

27 cups of oats

Step-by-step explanation:

23
+ 4=27

Rewrite quadratic function in standard form

Answers

Since the function is already in standard form (ax^2 + bx + c form) you don't have to change anything and simply rewrite it.

For the vertex, if you have a quadratic function in standard form -b/2a is the x value of the vertex.

-b/2a = -4/(2(2)) = -1

Since we now know the x-value of the vertex we can plug it into the function to find the corresponding y-value.

h(-1) = 2(-1)^2 + 4(-1) - 10 = -12

So, the vertex is at (-1,-12)

HELPPP FAST


X^2+8x+5=0

Answers

Answer:

hope its right

Step-by-step explanation:

This is the answer give me a good review

Refer to the table which summarizes the results of testing for a certain disease. ​ Positive Test Result Negative Test Result Subject has the disease 87 9 Subject does not have the disease 27 312 A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative? Group of answer choices 0.972 0.221 0.028 0.094

Answers

The probability that the subject has the disease given that the test result is negative is 0.028.

What is Bayes' theοrem?

Bayes theοrem is defined as where A and B are events, P(A|B) is the cοnditiοnal prοbability that event A οccurs given that event B has already οccurred (P(B|A) has the same meaning but with the rοles οf A and B

We want tο find P(A|B), the prοbability that the subject has the disease given a negative test result.

Bayes' theοrem states that:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of a negative test result given that the subject has the disease, P(A) is the prior probability of the subject having the disease, and P(B) is the probability of a negative test result.

From the table, we can calculate:

P(B|A) = 9/96 = 0.09375

P(A) = (87+9)/(87+9+27+312) = 0.235

P(B) = (27+312)/(87+9+27+312) = 0.883

Plugging these values into Bayes' theorem, we get:

P(A|B) = 0.09375 * 0.235 / 0.883 ≈ 0.025

Therefore, the probability that the subject has the disease given a negative test result is approximately 0.025, which is closest to 0.028. So, the answer is 0.028.

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hii I NEED HELP WITH 2 and 3 WILL BE GIVING 20 points!

Answers

Part A: The slope of line p is 4, so when multiplied by the dilation factor of 2, the slope of line q is 8.

Part B: The y-intercept of line p is (0, 4). When multiplied by the dilation factor of 2, the y-intercept of line q is (0, 8).

What is a slope?

A slope is a measure of how steep a line is when plotted on a graph. It is calculated by finding the ratio of the "rise" (vertical change) over the "run" (horizontal change). Slopes can be positive, negative, zero, or undefined. A positive slope is one where the line rises from left to right and a negative slope is one where the line falls from left to right.

Part A: The slope of line q can be determined by calculating the slope of line p and multiplying it by the dilation factor. The slope of line p is 4, so when multiplied by the dilation factor of 2, the slope of line q is 8.

Part B: The y-intercept of line q can be determined by calculating the y-intercept of line p and adjusting it for the dilation factor. The y-intercept of line p is (0, 4). When multiplied by the dilation factor of 2, the y-intercept of line q is (0, 8).

Line segment P'Q is created by the two points (8, 5) and (12, 8). Using the distance formula, the length of line segment P'Q can be determined. The formula for the distance between two points is (x2-x1)² + (y2-y1)². Substituting the coordinates for points P and Q into the formula, the length of line segment P'Q is calculated as (12-8)² + (8-5)²= 9. Therefore, the length of line segment P'Q is 9 units.

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What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14

Answers

The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

What is the inverse of maths tools?

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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(2/9) of students in a school are in the sixth grade.

How many sixth graders are there if the school has 90 students?

How many sixth graders are there if the school has 27 students?

How many students are in the school if 42 of them are sixth graders?

Answers

Answer:

1. 90 students x (2/9) = 20 sixth graders

2. 27 students x (2/9) = 6 sixth graders

3. 42 sixth graders x (9/2) = 189 students

4.2.3 2 33-(-√4)√-64 -42 x 13 + 17​

Answers

Answer:

208xi+53.26=261.26

Step-by-step explanation:

Please mark brainiest please I am correct

⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️ me after doing the problem

Can some one help with this problem

Answers

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Polygon EFGH has vertices E(-1.3), F(1,4), G(3,3), and H(0,0). Graph the figure and its image after a clockwise rotation of 90 degrees about vertex H. Then write the coordinates of polygon E' F' G' H'.

Answers

The new cοοrdinates οf the image οf the pοlygοn are: E'(0, 1), F(4, 0),     G(3, -2) & H(0, 0).

What is a pοlygοn?

A pοlygοn is a twο-dimensiοnal clοsed shape made up οf straight-line segments. The segments, οr sides, intersect οnly at their endpοints, which are called vertices.

Tο graph pοlygοn EFGH, we first plοt the given cοοrdinates:

E(-1, 3)

F(1, 4)

G(3, 3)

H(0, 0)

Tο find the image οf the pοlygοn after a clοckwise rοtatiοn οf 90 degrees abοut vertex H, we can use the fοllοwing transfοrmatiοn matrix:

| cοs(-90)  -sin(-90)  0 |   | x - 0 |   |  y  |

| sin(-90)   cοs(-90)  0 | * | y - 0 | = | -x  |

|    0         0       1 |   |   1   |   |  1  |

Simplifying this matrix, we get:

|  0  -1  0 |

|  1   0  0 |

|  0   0  1 |

Tο apply this transfοrmatiοn tο each pοint οf the pοlygοn, we can multiply the matrix by the cοlumn vectοr (x, y, 1) fοr each pοint.

Therefοre, the new cοοrdinates οf the image οf the pοlygοn are:

E'(0, 1)

F(4, 0)

G(3, -2)

H(0, 0)

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you randomly draw 2 cards from a standard deck of 52 cards. what is the probability you draw a heart, don't replace it, and pull a club?

PLEASE ANSWER BY 7:00AM Pacific Standard Time!!!!!! 17 pointz

Answers

Step-by-step explanation:

There are 52 cards and  13 are hearts

   first card heart is then 13 /52 = 1/4 chance

      now there is only 51 cards and 13 are clubs

          second card club is then 13 / 51 chance

13/52   * 13/ 51 = 169 / 2652    = 13/204 = .0637  chance of Heart - Club

What is the following sum ?
3sqrt 125x^10y^13 + 3sqrt 27x^10y^13

Answers

The sum οf the twο expressiοn is  [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]

What is an algebraic expressiοn?

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns.

We can simplify each square rοοt term by factοring οut the largest perfect square pοssible frοm under the square rοοt.

Fοr the first term, we can factοr οut 25 frοm under the square rοοt as fοllοws:

[tex]\rm 3\sqrt{(125x^{10}y^{13})} = 3\sqrt{(255x^{10}y^{12}y)} = 35x^{5}y^{6} \times \sqrt{(5y)}[/tex]

Fοr the secοnd term, we can factοr οut 9 frοm under the square rοοt as fοllοws:

[tex]\rm 3\sqrt{(27x^{10}y^{13}) }= 3\sqrt{(93x^{10}y^{12}y)} = 33x^5y^6 \times \sqrt{(3y)[/tex]

Therefοre, the sum οf the twο terms is:

[tex]\rm 3\sqrt{(125x^{10}y^{13)}}+ 3\sqrt{(27x^{10}y^{13} )}= 35x^5y^6\sqrt{(5y)} + 33x^5y^6\sqrt{(3y)}[/tex]

Simplifying further, we can factοr οut 3x^5y^6 tο get:

=  [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]

Therefore, the sum of the two terms is [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]

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help finding the area of compound shapes

Answers

Answer: what shape?

Step-by-step explanation:

More info please

I really need to know how to solve this type of problems

Answers

Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.

How to calculate the quantity of shirts that are red.?

The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts

The total quantity of red shirt selected at random = 5

The total quantity of blue shirt selected at random = 13

The total quantity of grey shirt selected at random = 12

Total selected at random = 30

Now if 5 red shirts = 30

X red shirts = 250

make X the subject of formula;

X = 15× 250/30

X = 3750/30

X = 125 red shirts.

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a) Construct a probability distribution
b) Graph the probability distribution using a histogram and describe its shape
c) Find the probability that a randomly selected student is less than 20 years old.
d) Find the probability that a randomly selected student's age is more than 18 years
old but no more than 21 years old.

LOOK AT SCREENSHOT FOR FULL QUESTION

Answers

The probability that a randomly selected student's age is more than 18 years old but no more than 21 years old is 0.57.

What is a continuous random variable's probability?

Continuous random variables are defined as having an infinite number of possible values. A continuous random variable hence has no probability of having an accurate value.

a) In order to create a probability distribution, all potential values of the random variable must be listed along with the related probabilities. We may get the relative frequency (or probability) for each value of the random variable from the above frequency distribution:

Age Frequency Probability

16         3              0.03

17         5              0.05

18        10              0.10

19        15              0.15

20       20             0.20

21        22             0.22

22       17               0.17

Total   92              1.00

b) We can use a histogram to see the probability distribution. The likelihood is represented by the vertical axis, while the age is represented by the horizontal axis. The height of each bar in the histogram should represent the likelihood for that age, with bars for each age value.

With a peak at age 20, the distribution's shape looks to be roughly symmetrical.

c) To get the likelihood that a student chosen at random is under 20 years old, we must add the probabilities for the ages 16, 17, 18, and 19:

P(age < 20) = P(age = 16) + P(age = 17) + P(age = 18) + P(age = 19)

= 0.03+0.05+0.10+0.15

= 0.33

Consequently, there is a 0.33 percent chance that a randomly chosen student is under 20 years old.

d) To determine the likelihood that a randomly chosen student is older than 18 but not older than 21, we must add the probabilities for the ages 19, 20, and 21:

P(18 < age ≤ 21) = P(age = 19) + P(age = 20) + P(age = 21)

= 0.15 + 0.20 + 0.22

= 0.57

As a result, there is a 0.57 percent chance that a randomly chosen student will be older than 18 but not older than 21.

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you are at the market square (0,0) and want to get to the doctor's office. Following the grid lines what is the shortest route ?

Answers

Answer:

3, -3


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Write the letter of the definition next to the matching word as you work through the lesson.

Answers

The matching word are as follows:- center of dilation - C,corresponding angles - D,dilation - E,scale factor (of a dilation) - A,similar polygons - B respectively.

What are corresponding angles?

Corresponding angles are a pair of angles that have the same relative position at the intersection of two lines when one line is crossed by a transversal.

They are located in corresponding (matching) positions in congruent or similar figures, and are congruent if the figures are similar.

center of dilation: C.The fixed point that is parallel to each point on the pre-image and the corresponding point on the picture during a dilatation

corresponding angles: D.a pair of angles in two congruent or similar figures that are in the same relative position

dilation: E. The transformation in which each point on the image lies on the same line as the corresponding point on pre-image and a fixed point called the center of dilation.

scale factor (of a dilation): in a dilation, the constant  rate between the distance from the center of dilation and a point on the image and the distance from the center of dilation and the  matching point on thepre-image

similar polygons: B.two or  further polygons in which corresponding angles are  harmonious and the lengths of corresponding sides are in proportion.

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Solve the following. Find the unknown term of the proportion.

Problem:
If 3 pieces of shirts costs Php100. How much are you going to pay for 12 pieces of shirts?

Ps: kung di niyo alam yung sagot wag niyo kunin yung points :))

Answers

Answer:

Step-by-step explanation: 12 / 3 = 4, so php100 x 4 = Php400

Muliplying Decimals by Powers of 10
Select from the drop-down menus to correctly complete the statement.
The product of 0.014 and 100,000 is Choose
the right.
because the decimal point in 0.014 moves Choose places to
V

Answers

The required of 0.014 and 100,000  product is 1400.

What is Product?

The object being sold is referred to as a product. A service or an object both qualify as products. It could take on a physical, virtual, or cyber shape. Every product has an expense associated with it, and each one has a price. The industry, the quality, the marketing, and the segment that is being targeted all affect the price that can be charged.

According to question:

We have to numbers

0.014 and 100000

Then;

0.014( 100000)

= 1400

Thus, required product is 1400.

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Describe the error in the statement of the tangent ratio. Correct the error if possible. Otherwise, write not possible.

Answers

Step-by-step explanation:

This is NOT a right triangle ( angle B = 95 degrees) , so the usual S-O-H-C-A-H-T-O-A   ratios do not apply .

Use the formula SA = 2πrh + 2πr2 to find is the surface area of the cylindrical food storage container. Use 3.14 for π. Round your answer to the nearest hundredth of a square inch.

A cylinder. The radius of the base is 8 inches and the height of the cylinder is 11 inches.

Answers

Step-by-step explanation:

SA = 2πrh + 2πr²

where;

π = 3.14

r = 8

h = 11

Slotting in those parameters, we have;

= (2 x 3 x 8 x 11) + ( 2 x 3 x 8²)

= 528 + 384

= 912 inches²

To the nearest 100th, answer becomes 900inches²

Represent the following sentence as an algebraic
expression, where "a number" is the letter x. You
do not need to simplify.
9 less than six times a number.

Answers

Algebraic expressions are useful for solving different and complex equations in mathematics, as well as for modelling real-life situations such as revenue, cost, inference, etc

The algebraic expression is: [tex]6x - 9[/tex].

What is the use of algebraic expression?

To represent the sentence as an algebraic expression, we can follow these steps: Identify the variable. In this case, “a number” is x. Identify the operation. In this case, “less than” means subtraction and “times” means multiplication.

An algebraic expression is an expression that contains variables, constants and mathematical operations. Algebraic expressions are useful because they can help us solve different and complex equations.

For example, if you want to calculate the area of a rectangle with length x and width y, you can use the algebraic expression xy to represent the area.

Write the expression using the order of operations. In this case, we need to multiply six by x first, then subtract nine from the result.

Therefore, The algebraic expression is: [tex]6x - 9[/tex]

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Zoe is saving money to go on a trip to Mexico. She earns 16.75 for mowing the lawn . If Zoe mows the lawn 28 times how much money will she earn

Answers

469

do 16.75 x 28 which will equal to 469

Hello um I don’t really know what the actual like thing we are learning I just copied it down and I can’t find anywhere to learn it so I’m just gonna show a question.

1/15 = 5/8 (fractions)
A) 5,625 square ft
B) 9,000 square ft
C) 40 square ft
D) 600 square ft

Can someone please tell me the answer and also what I’m learning about? I need it before the end of the day!!

Answers

Answer:

The question you provided is a math problem involving fractions, specifically solving for an unknown quantity using a proportion. Here is how you can solve it:

1/15 = 5/8

To solve for the unknown quantity, you can use cross-multiplication, which means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa:

1 * 8 = 15 * 5

Simplifying this equation, we get:

8 = 75

This is a contradiction, so the given equation has no solution. Therefore, none of the answer choices (A, B, C, D) are correct.

I hope this helps! If you have any further questions, feel free to ask.

4. The cases when one of the artists is out is useful for determining domain and range because it shows the most number of hours one would need to work when the other person works 0 hours. Recall that Philipe draws 3 per hour, Claude draws 4 per hour, and their goal is to draw a combined total of 60 caricatures per day. Let C' be the horizontal axis and P be the vertical axis.

Answers

One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.

The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).

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in a figure skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. write an equation to find the skaters total score s.

Answers

The skater's total score would be 58 points (7.25 x 8 = 58).

How can you determine the mean?

Just dividing the total number of values in a data set by the sum of all of the values yields it. A frequency table of data or raw data can both be used for the calculation.

The following equation can be used to determine each skater's overall score, s, assuming that they each receive evaluations from eight judges and have a mean score of 7.25 points:

s = 7.25 x 8

The total score is determined by multiplying the average score by the quantity of judges in this equation. In this instance, the skater would have earned 58 points overall (7.25 x 8 = 58).

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In a skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. Write an equation to find the skaters total score?

a. 7.25 × 8

b. 7.25⁸

c. 7.25 - 8

d. 7.25/8

Find the value of X.

Answers

The value of x such that x - 4 and 2x + 1 are angles on a line is 61

Calculating the value of x

x - 4 and 2x + 1 are angles on a line.

Using the theorem of sum of angles on a line that states that:

When two angles are on a line, they add up to 180 degrees.

So we have:

x - 4 + 2x + 1 = 180

Simplifying and solving for x:

3x - 3 = 180

So, we have

3x = 183

Divide both sides by 3

x = 61

Therefore, x = 61 is the value that makes x - 4 and 2x + 1 angles on a line.

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11) m/EFG=132°, m/CFG=x+111,
and m/EFC=x+23. Find mLEFC.

Answers

Answer:
EFC = 22
Explanation:
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