3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?
18
54
126
108
Answers
Given:
Consider the three point of second line are S, R, V instead of S, R, W.
A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U between angle T, R, V.
[tex]\angle VRW=(3x)^\circ[/tex]
[tex]\angle TRS=(2x+18)^\circ[/tex]
To find:
The m∠SRW.
Solution:
The figure according to the given information is shown below (not to scale).
From the below figure it is clear that, [tex]\angle VRW[/tex] and [tex]\angle TRS[/tex] are vertically opposite angles. So, their measures are equal.
[tex]3x=2x+18[/tex]
Subtract 2x from both sides.
[tex]3x-2x=18[/tex]
[tex]x=18[/tex]
Using x=18 the measure of angle VRW is
[tex]\angle VRW=(3x)^\circ[/tex]
[tex]\angle VRW=(3\times 18)^\circ[/tex]
[tex]\angle VRW=54^\circ[/tex]
Now,
[tex]\angle VRW+\angle SRW=180^\circ[/tex] [Linear pair]
[tex]54^\circ+\angle SRW=180^\circ[/tex]
[tex]\angle SRW=180^\circ-54^\circ[/tex]
[tex]\angle SRW=126^\circ[/tex]
Therefore, the correct option is C.
Answer:
126
Step-by-step explanation:
i just got the right answer
Related Questions
5. Which expression is equivalent to x2 - 17 x - 60?
Answers
this is the answer
Solve asap: 3(2y+10)=54
Within 10 mins pls
8th grade
Answers
Answer:
y = 4
Step-by-step explanation:
6y + 30 = 54
subtract 30 from each side
6y = 24
divide each side by 6
y = 4
Answer:
y=4
Step-by-step explanation:
3(2y+10)=54
6y+30=54
-30 -30
6y=24
/6 /6
y=4
Bianca uses an overhead projector to explain a new concept to her students. The width of the projected image was 24 feet. The width of the original image was 120 inches . Find the scale factor used to enlarge the image .
Answers
Answer: 10% of 65.9
Step-by-step explanation:
2 numbers are in ratio 2 is to 4 if their sun is 147 then what i the largest number?
Answers
Answer:
The larger number is 98
Step-by-step explanation:
Let the numbers be a and b
a/b= 2/4
4a = 2b ------- 1
a + b = 147 -----2
a= 147 - b -------3
Substitute equation 3 into 1
4(147 -b) = 2b
588 - 4b = 2b
588= 2b + 4b
588 = 6b
b= 588/6
b= 98
Substituting b= 98 into 1
4a = 2(98)
4a = 196
a= 49
The larger number is 98
how do i know if a slope is negative
Answers
Answer:
A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
hope this helps! happy new year!
Answer:
A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
Step-by-step explanation:
Hope this helps (づ｡ ◕‿‿◕｡) づ
Luv ya
what is the unit rate for the cost of pizzas
Answers
~I need the method~
If the side length of any equilateral triangle is increase by 7% then the area will be change in which percent? How do we do this type of maths?
Answers
Answer:
Look at the attachment
The bottom equation states that:
Triangle Area = side^2 * (sqr root 3) / 4 or
Triangle Area = side^2 * .4330127..
So, we'll say the side originally equaled 1 and the new length is 7% longer ot it equals 1 + .07 or 1.07
Looking at the formula:
Triangle Area = 1.07^2 * .4330127...
the .4330127 doesn't change but the side increases to 1.07
and the change in area is 1.07^2 or 1.1449 times larger.
So, the area is 14.49% larger.
Step-by-step explanation:
Taylor has $4 worth of dimes and quarters. She has 2 more quarters than
dimes. Graphically solve a system of equations in order to determine the
number of dimes, x, and the number of quarters, y, that Taylor has.
Answers
Answer: Taylor has 10 dimes and 12 quarters.
Step-by-step explanation: you should end up with the equation y = x + 2 which is where it explains that he had two more quarters than dimes.
Then, your other equation starts with .10x +0.25y = 4 “, but then simplified, which should give u y = -2/5x +16. Once you graph both the top and this equation, they should intersect at the 4, which leads back to your money amount of 4 dollars.
How long is the light beam from the top of the lighthouse to the ground? Round to the nearest tenth. The light house is 25m tall and a boat is 180m from the base
Answers
Answer:
181.7m
Step-by-step explanation:
The set up is a right angled triangle with;
Height of the light house = 25m = opposite side
The distance of the boat from the base = 180m = Adjacent
The distance of the light beam from the house = Hypotenuse = x
Using pythagoras theorem;
x² = 25²+180²
x² = 625+32400
x² = 33025
x = √33,025
x = 181.7m
Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth
If p(x)= x^2 - 2root2x + 1, then p(3root2)= ?
Answers
Answer:
19 - 2^(7/4)√3 or
13.174 to nearest thousandth.
Step-by-step explanation:
I am interpreting this as x^2 - 2√(2x) + 1
p(3√2) = (3√2)^2 - 2√(2*3√2) + 1
= 18 - 2√(6√2) + 1
= 19 - 2* √6 * 2^1/4
= 19 - 2*√2*√3*2^1/4
= 19 - 2^(7/4)√3.
= 13.174 to the nearest thousandth.
the graph shows the cost of some taxi journeys. work out a formula for C in terms of n.
Answers
Given:
The graph of cost of taxi with respect to number of miles.
To find:
The formula for C in terms of n.
Solution:
In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).
From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]
[tex]y-3=\dfrac{3}{5}(x)[/tex]
Adding 3 on both sides, we get
[tex]y=\dfrac{3}{5}x+3[/tex]
Putting y=C and x=n, we get
[tex]C=\dfrac{3}{5}n+3[/tex]
Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].
Answer:
c=3/5n+3
Step-by-step explanation:
By what number should you multiply the 1st equation to cancel the x's using the elimination method?
- 3x – 2y = 2
9x + 3y = 24
The answers are
6
-9
-3
3
Please help ion know wich one and I don’t want to fail the final week
Answers
Answer:
-3
Step-by-step explanation:
What is the least common multiple of 12 and 22
Please help me
Answers
Answer:
Least common multiple (LCM) of 12 and 22 is 132
Step-by-step explanation:
Solve for x Please help me out
Answers
Answer:
A.
Step-by-step explanation:
18 x 5 = 90 + 5 = 95
19 x 5 =95
18x + 5 = 19x
(alternate exterior angles)
5 = 19x - 18x
5 = x
Evaluate m – n if m = –16 and n = 28
Answers
Answer:-44
Step-by-step explanation:
-16-(28)=-44
Answer:
-44
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
m - n
m = -16
n = 28
Step 2: Evaluate
Substitute: -16 - 28Subtract: -44Which expression can be used to find 3 x 2,354
A. (3 x 2,000) = 354
B. (3 x 2,000) + (3 x 300) + 54
C. (3 x 2,000) + (3 x 300) + (3 x 50) + (3 x 4)
D. (3 x 2,000) + (300 + 50 + 4)
Answers
Because if you break it down and split the digit place value you can start by doing 3×2000+300+50+4 is going to equal 7062 which is D.
who can help answer some of these?
Answers
2. 23
3. 8
4. 27
5. 22.6 ( rounded )
6. 47
7. 97
Divide and simplify
ax + ay + bx + by/
x+y
Answers
Answer:
a + b
Step-by-step explanation:
ax + ay + bx + by
a(x +y) +b(x + y)
(a + b) ( x + y)
therefore (a + b) ( x + y) divide x+y
x + y is canceled out both in the denominator and numerator
= a+b
Answer:
a + b
Step-by-step explanation:
Give the equation of a line that is perpendicular to
f(x)= 3x+1 and goes through the point (0, -6).
Answers
Answer: -1/3x - 6
Step-by-step explanation: perpendicular lines have opposite reciprocal slopes
original slope of 3 —-> -1/3
then our point is (0, -6) let’s plug that into y=-1/3x+b
-6 = -1/3(0)+b
b= -6
put it all together: y = -1/3x -6
Hi guys im quite confused here because my teacher talked too fast, can someone help me find out how did 4 turned into 64. heres my problem in the attachment.
Answers
So here in equation 4 has been cubed
As 4³ is (4×4×4) is 64
Simplify the expression:
5.1 + 8.8t - 2.2t + 7.4t
Answers
Answer:
14t + 5.1
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
5.1 + 8.8t - 2.2t + 7.4t
Step 2: Simplify
Combine like terms (t): 14t + 5.1Which product is represented by the model? A hundred grid model shows 5 columns shaded and 4 rows shaded. The intersecting area is an array that is 5 by 4. A. 0 . 05 × 0 . 04 = 0 . 002 B. 5 × 0 . 4 = 2 C. 0 . 5 × 0 . 4 = 0 . 2 D. 0 . 5 × 0 . 04 = 0 . 02
Answers
Answer:
0.05 x 0.04 = 0.002
Step-by-step explanation:
Given:
5 column (hundred grid) = 5/100 = 0.05
4 row (hundred grid) = 4/100 = 0.04
Find:
Area equation
Computation:
Area equation = 0.05 x 0.04
0.05 x 0.04 = 0.002
The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answers
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
Please help I will mark branliest
Answers
Answer:
[tex]B.2w+2l[/tex]
Step-by-step explanation:
[tex]As\ we\ are\ given\ that,\\Perimeter\ of\ any\ rectangle=w+l+w+l\\By\ adding\ the\ like\ terms\ together\ in\ the\ expression\ w+l+w+l,\\we\ get:\\(w+w)+(l+l)\\=2w+2l[/tex]
7th grade math plss helpp
Answers
Answer:
2x-2=-4
5/8x3/5= 15/40 then u simplify and get -4 3/8
Answer:
a
Step-by-step explanation:
Georgina knows the inequality is true, but she cannot remember what number is in the denominator.
A-5
B-8
C-10
D-12
Answers
write 0.414141414141 as a fraction?
Answers
Answer:
The fraction is 41/99.
Step-by-step explanation:
The steps are :
[tex]let \: x \: be \: fraction,[/tex]
[tex]x = 0.414141.....[/tex]
[tex]100x = 41.414141.....[/tex]
[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]
[tex]99x = 41[/tex]
[tex]x = \frac{41}{99} [/tex]
What is the solution set of {x | x 5}?
1. the empty set
2. all real numbers
3. the numbers between -5 and 5
4. all numbers less than -5 and greater than 5
Answers
Answer:
3. the numbers between -5 and 5
Step-by-step explanation:
Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].
The solution set of A and B is the solution set of A∩B
The solution set of A is all the real number x which is greater than -5.
The solution set of B is all the real number x which is less than 5.
Therefore, the solution set of A∩B is all the real numbers between -5 and 5.
Hence, option (3) is correct.
A statistical procedure that estimated regression equation coefficients that produce the lowest sum of squared differences between the actual and predicted values of the dependent variable is called .
Answers
Answer:
Ordinary least squares
Step-by-step explanation:
The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares
Therefore the above represent the answer
Factor completely 3x^2+y
A.) x(3x+y)
B.) y(3x^2)
C.) xy(3x+1)
D.) prime
Answers
Answer:
Non of the above
Step-by-step explanation:
[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]
Answer:
D. Prime
I just took the test
Step-by-step explanation: