Find the measure of each angle in the triangle.

Answer:

x = 3, y = 2

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{6}[/tex] = [tex]\frac{1.5}{3}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3

and

[tex]\frac{y}{4}[/tex] = [tex]\frac{1.5}{3}[/tex] ( cross- multiply )

3y = 6 ( divide both sides by 3 )

y = 2

Answer:

20

Step-by-step explanation:

Since I am given two values of the triangle, I will input the equation a²+b²=c².

"c" represents the hypotenuse. First I plug in the values of the legs, 12²+16²=c². Next I simplify these values to 144+256=c², which is 400=c². Finally I take the square root from both the value and the variable: √400=√c² which is equivalent to 20=c. Therefore, the hypotenuse is 20. Hopefully this helps :)

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Gets Narrow, and opens opposite direction

Answer:

its 7/2

Step-by-step explanation:

Answer:

it is 120

Step-by-step explanation:

Answer:

Colin will have to wait for 2 hours for the pond to completely empty

Step-by-step explanation:

Volume of a Prism

The volume of a prism of base area Ab and height H is computed with the formula:

V=Ab.H

We are given a pond in the shape of a prism with a trapezoidal base (front view).

The area of a trapezoid of bases b1 and b2, and height a, is given by:

[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]

The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:

[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]

[tex]A_b=2\ m^2[/tex]

The height of the prism is H=1m, thus the volume of the pond is:

[tex]V=2\ m^2*1\ m[/tex]

[tex]V=2\ m^3[/tex]

It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:

[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]

The pond still has this volume of water:

[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]

The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in

[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]

Thus, Colin will have to wait for 2 hours for the pond to completely empty

Answer:

7 , or 7/1

Step-by-step explanation:

Let ? = x. Set the equation:

(3/10)x = 21/10

Isolate the variable, x. Multiply 10/3 to both sides of the equation:

x * (3/10) * (10/3) = (21/10) * (10/3)

x = 21/10 * 10/3

Simplify the equation. Divide common factors from both the numerator and denominator, and then simplify:

x = (21 * 10)/(10 * 3)

x = (21/3) = 7/1 = 7

x = 7

Answer:

C = 2p² + 3p - 5

Step-by-step explanation:

Let A & B denote the other two adjacent sides respectively.

Let the third side be denoted by C

Given the following data;

Perimeter of triangle = 6p² - 4p + 9

Length of one side = p² - 2p + 1

Length of one side = 3p² - 5p + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

6p² - 4p + 9 = p² - 2p + 1 + 3p² - 5p + 3 + C

6p² - 4p + 9 = 4p² - 7p + 4 + C

C = 2p² + 3p - 5

Answer:

option B

Step-by-step explanation:

7 sq rt 3 cannot be simplified

4 sq rt 6 cannot be simplified

sq rt 48 = (sq rt 12 · sq rt 4) = (sq rt 4 · sq rt 4 · sq rt 3) = 4 sq rt 3

sq rt 54 =  (sq rt 9 · sq rt 6) = 3 · sq rt 6

combine each pair of like terms:  (7 sq rt 3 + 4 sq rt 3) =  11 sq rt 3

                                                        (-4 sq rt 6 - 3 · sq rt 6) = -7 sq rt 6

Answer:

the correct answer is :

A) 2× 3 = 6

B) g(6) = 6 + 1 =7

Answer:

coefficient of what?

Step-by-step explanation:

Answer:

First you find how many miles can Gavin run in 1/12 of an hour. That way you can use it to times 12 and to find 12/12 of an hour which is 1 hour.

Turn it into an improper fraction. 2×5=10 then add that 10 to the numerator 3 and it'll be 13/5 miles in 7/12 hours. Then divide it by 7.

[tex] \frac{13}{5} \div 7 = \\ \frac{13 }{5 \times 7} = \frac{13}{35} [/tex]

So 13/35 is how many miles Gavin runs in 1/12 of an hour. Now times is by 12 = 146/35

Or

[tex]4 \frac{6}{35} [/tex]

miles per hour

Answer:

-3,9

Step-by-step explanation

2 to -4 would take 6 units down and 8-1 is 7 and 7+2 is 9.

hope this helps!

Answer: D eighteen thirds

Step-by-step explanation:

You can aslo solve it as 9/1 *2/3 all you would need to do is multiply 9*2 with is eighteen

Answer:

it should be 18/3

Step-by-step explanation:

Answer:

B: 4/d-6

Step-by-step explanation:

Plato answer

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Undo what has been done to the variable.

  4(2x/3 +8) = 40

  2x/3 +8 = 10 . . . . . divide by 4

  2x/3 = 2 . . . . . . . . . subtract 8

  x = 3 . . . . . . . . . . . . multiply by 3/2

Answer:

x = 3

Step-by-step explanation:

6.78x - 5.2 = 4.33x + 2.15

6.78x - 4.33x = 5.2 + 2.15

2.45x = 7.35

x = 7.35/2.45

x = 3

Thus, The value of x is 3

-TheUnknownScientist

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Answer:

The first answer i think.

Step-by-step explanation:

Answer:

The total change in his account is represented by the integer -5

Step-by-step explanation:

Operations With Integers

We need to perform addition and subtraction to complete the answer to this problem.

Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.

The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.

The net operation or total change in the account is: -$17 + $12.

Subtracting and simplifying: -$17 + $12 = -$5

The total change in his account is represented by the integer -5

Answer:

[tex] {9}^{ - 8} [/tex]

Step-by-step explanation:

[tex] \frac{ {9}^{ - 5} }{ {9}^{3} } [/tex]

[tex] {9}^{ - 5 - (3)} [/tex]

[tex] {9}^{ - 5 + (- 3)} [/tex]

[tex] {9}^{ - 8} [/tex]

Answer:

The answer is A

Step-by-step explanation:

Answer:

Concept: Area Analysis

Answer:

220 ft

Step-by-step explanation:

Given that:

Length of each curtain = 48 inches

Number of curtains required for Abby's curtain company = 55

Fabric of curtains is sold by the fabric store foot by foot.

Unit for conversion:

1 inch = [tex]\frac{1}{12}[/tex] foot

To find:

The fabric (in feet) needed by Abby.

Solution:

First of all, let us convert the length of each curtain (which is given in inches) to feet.

As per given hint:

1 inch = [tex]\frac{1}{12}[/tex] foot

48 inches = [tex]\frac{1}{12}[/tex] [tex]\times[/tex] 48 ft = 4 ft

So, length of one curtain is 4 ft.

Now, number of curtains required are 55.

Therefore, total length of curtains required can be found by multiplying the number of curtains with the length of one curtain.

Total length of curtain required = 55 [tex]\times[/tex] 4 = 220 ft

Answer:

1. Increase

2. Decrease

3. Increase

4. Decrease

Step-by-step explanation:

Answer:

The domain of this function is:

C.) Negative infinity to infinity

The range of this function is:

A.) 0 to infinity

Y=4^x-5+3

The domain of this function is:

C.) Negative infinity to infinity

The range of this function is:

B.) 3 to infinity

Answer:

Answer:

Domain : R

Range : R

Step-by-step explanation:

The given function is  or it can be written as y = 15x.

So, the function is valid for all real values of x and we will get the real value of y for each real value od x.

Hence, all the real numbers or R is the domain of the function.

And all the real numbers or R is the range of the given function. (Answer)

the domain is the set of x -values, the range is the set of y-values. I would have to say the domain is : R [ negative intinity, to infinity]. Equally, I would have to say the range is R [ Negative infinity,  to infinity]

Step-by-step explanation:

Why, because no set is defined for either x or y.

answer:

1.0290292e+82

Step-by-step explanation:

asked my bed

The triangles are congruent by the SAS Postulate.

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

Learn more about congruent triangles;

https://brainly.com/question/12413243

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