Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
10 weeks
Duane adds $5 every other week so that's 5 weeks out of 10. 5 x 5 = 25
Mick adds $2 every week so,
2 x 10 = 20
25 + 20 = 45
<u>Given</u>:
The given monomial expression is 
We need to simplify the given monomial expression.
<u>Simplification:</u>
Let us simplify the given expression.
Dividing the numbers 16 and 4, we get;

Let us apply the exponent rule
in the above expression.
Thus, we get;

Subtracting the numbers in the numerator of the above expression, we get;

Thus, the simplified expression is 
Answer:
<h2>351. 86 yd² </h2>
Step-by-step explanation:
As = 2πrh + 2πr²
where r = 4, h = 10
plugin values into the equation:
As = 2π (4) 10 + 2 π (4)²
As = 251.33 + 100.53
As = 351. 86 yd²