Question

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator

rationalized
y=
and z=

Answer 1

7

Explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Answer 2

y = 110.5

z = 110.5

Based on the image you sent, here's how to find the values of y and z:

1. Identify the right triangles:

The figure consists of two right triangles: one formed by the entire triangle ABC and the other formed by triangles ACDE and BCFG.

2. Find the length of AC:

Since triangle ABC is a 30-60-90 triangle, AC = half of the hypotenuse AB. From the image, we see that AB = 442, so AC = 442 / 2 = 221.

3. Find the length of DE:

Triangle ACDE is also a 30-60-90 triangle, so DE = half of AC. Therefore, DE = 221 / 2 = 110.5.

4. Find the length of z:

Triangle BCFG is similar to triangle ACDE (AA Similarity), with corresponding sides being proportional. We can set up a proportion to find z:

(BG) / (DE) = (BC) / (AC)

Since BG = z and BC = 442 - 221 = 221, we can plug in the values:

z / 110.5 = 221 / 221

Solving for z, we get:

z = (110.5 * 221) / 221

z = 110.5

5. Find the length of y:

From triangle ACDE, we know that AE = 2 * DE = 2 * 110.5 = 221.

Since y is the altitude bisecting the hypotenuse of triangle ABC, it also divides AC into two segments with equal lengths (AC/2). Therefore, y = AC/2 = 221/2 = 110.5.