Answer:
<em>h=12, w=24, t=8</em>
Step-by-step explanation:
<u>System of Linear Equations
</u>
We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.
We have the following data, being
w = price of a sweatshirt
t = price of a T-shirt
h = price of a pair of shorts
19.
The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

This is the system of equations we need to solve for w,t,h
20.
To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

Operating


Solving for h

The other two variables are


The square root of 64 is 8 because 8x8 is 64
The angle show with the yellow square has a measure of 90°.
Together with angles 1 and 2, they form a straight angle so we have:
∠1+∠2+90°=180°,
subtracting 90° from both sides we have:
∠1+∠2=90°
If the sum of the measures of 2 angles is 90°, the angles are called complementary.
Since the sum of the measures of angles 1 and 2 is 90°, then these 2 angles are complementary.
Answer: <span>They are complementary</span>