Answer:
15
Step-by-step explanation:
Answer:
∠5
Step-by-step explanation:
A linear pair of angles create a straight line
The only angle that creates a straight line with ∠1 is ∠5 therefore cyan is the answer
<span><span>Volume (V) = <span><span>Volume (V) = <span>3 * √3 * l² * h</span></span>2</span></span></span>
l=4
h=9
V<span><span>= (<span>3 * √3 * 4² * 9)/</span></span>2 = 374.12297 round off as needed</span>
7% of $45:
= 0.07 * 45
= 3.15
Increase = $3.15
Answer:
80° , 100°, 80°
Step-by-step explanation:
∠ 1 and ∠ 2 form a straight line and sum to 180° , then
2x + 40 + 2y + 40 = 180
2x + 2y + 80 = 180 ( subtract 80 from both sides )
2x + 2y = 100 → (1)
∠ 1 and ∠ 3 are vertical angles and are congruent , then
2x + 40 = x + 2y ( subtract x from both sides )
x + 40 = 2y ( subtract 40 from both sides )
x = 2y - 40 → (2)
Substitute x = 2y - 40 into (1)
2(2y - 40) + 2y = 100
4y - 80 + 2y = 100
6y - 80 = 100 ( add 80 to both sides )
6y = 180 ( divide both sides by 6 )
y = 30
Substitute y = 30 into (2)
x = 2(30) - 40 = 60 - 40 = 20
Thus x = 20 and y = 30
Then
∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°
∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°
∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°
