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Likurg_2 [28]
1 year ago
12

Which of the following statements must be true about this diagram? Check all that apply.

Mathematics
1 answer:
galben [10]1 year ago
6 0

The following are the true statements are

m<4 is greater than m<2

m<4 is greater than m<1

m<1 + m<2= m<4

<h3>What is exterior angle property?</h3>

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

As, by property

m<1 + m<2= m<4

and, the measure of each individual angle is less than angle 4.

Learn more about exterior angle property here:

brainly.com/question/2406986

#SPJ1

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64/3.2 = 20
The answer is 20

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270 is 75% of what number?
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First, you have to divide 270 by 3, so you get 25%. This comes out to be 90. So, 90 is 25%. Now, multiply this by four to get 100%. This comes out to be 360. So, 270 is 75% of 360, which answers the question '270 is 75% of what number?'
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What is (16, -6) dilated with a scale factor of 1.5
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Answer:

  • k = 1/4, m = 16

Step-by-step explanation:

<u>Scale factor is the ratio of the corresponding sides:</u>

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<u>Find m using the scale factor:</u>

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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
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