First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.

(1, -1) and (-5, -5)

-5- -1 = -4

-5-1 = -6

-4^2+-6^2 = c^2

16+36 = c^2

52 = c^2

7.21110255 = c

So, the length of XZ is 7.21110255 units long

(1, -1) and (8, -2)

8-1 = 7

-2--1 = -1

7^2+-1^2 = c^2

49+1 = c^2

50 = c^2

7.07106781 = c

So, the length of XY is 7.07106781 units long.

XZ is longer than XY

4 0

2 years ago

Kiera is in her last year of college at the University of Houston. She has a scholarship that pays 75% of her costs. Her classes

sergiy2304 [10]

If the scholarship pays 75% of her classes cost, that means that she has to pay the 25% remaining of the classes cost so if we calculate it as follow:

0.25 * $14,000 = $3,500
=================================================================
Another method to understand:
if the scolarship pays 75% of her classes that will be
0.75* $14,000 = $10,500

now she has to pay the remaining of the total cost and that will be
$14,000 - $10,500 = $3,500.

5 0

3 years ago

Ullmark 1 Bus

Vesna [10]

Answer: Option B) 7,214

Step-by-step explanation:

The value of the digit 2 in 5,426 is 20.

-In 2,843, the place value of 2 is 2000

- In 7,214, the place value of 2 is 200

- In 43,928, the place value of 2 is 20

- In 67,452, the place value of 2 is 2

So, since he place value of 2 in 7,214 is 200; and since 200 is ten times more than 20 (i.e 20 x 10 = 200)

Thus, the answer is 7214

3 0

3 years ago