Answer:
37° and 53° respectively.
Step-by-step explanation:
We need to know that the angles are complementtary if ∠RSU + ∠UST = 90°. Then,
5x+7 + 9x-1 = 90
5x + 9x +7 -1 = 90
14x +6 = 90
14x = 90 - 6
14x = 84
x = 84/14
x = 6.
Then, the angle ∠RSU has measure 5(6)+ 7 = 30+7 = 37, and the angle ∠UST has measure 9(6) - 1 = 54-1 = 53.
From the picture it looks like 38 degrees still from the picture sorry if I'm wrong
Answer:
y=17
Step-by-step explanation:
So the shape is a square, which means 1 is equal to 90 degrees. So, 4y+22=90
When you solve, you get 17:
4y=68
y=17
Answer: he collected 22 quarters and 8 fifty-cent pieces
Step-by-step explanation:
Given;
The total amount of money he is to collect is;
A = 20 - 10.50 = $9.50
Let x represent the number of quarter he collected.
Then the number of fifty-cent pieces he collected will be; 30-x
Therefore we can represent it with the equation below;
0.25x + 0.50(30-x) = 9.50
0.25x + 15 - 0.50x = 9.50
0.25x = 15-9.50
x = (15-9.50)/0.25
x = 5.50/0.25
x = 22
The number of fifty-cent is equal to;
30-x = 30-22 = 8
Therefore, he collected 22 quarters and 8 fifty-cent pieces
<u>Answer:</u>
<h2>
A = 64.5 in²</h2>
<u>Steps:</u>
A = 13 × 6.5 - ((4 × 3×2)-2²)
A = 84.5 - (24 - 4)
A = 84.5 - 20
A = 64.5 in²