Answer:
Step-by-step explanation:
A and B are both equal (corresponding parts)
A = B
5x - 5 = 3x + 13 Add 5 to both sides
5x = 3x + 13 + 5 Combine
5x = 3x + 18 Subtract 3x from both sides
5x - 3x = 18 Combine
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
Angle B
B = 3x + 13 Let x = 9
B = 3*9 + 13
B = 27 + 13
Angle B = 40
<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;

Substituting the measures of ∠1 and ∠2, we get;




Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;



Thus, the measure of ∠1 is 55°
2n+2(n-4)=56
2n+2n-8=56
4n-8=56
4n=64
n=16
1st side is 16
2nd side is 12
Polynomial equation solverStandard form:s2 + 5s + 4 = 0Factorization:(s + 4)(s + 1) = 0Solutions based on factorization:<span><span>s + 4 = 0 ⇒ <span>s1</span> = −4</span><span>s + 1 = 0 ⇒ <span>s2</span> = −1</span></span>Extrema:Min = (−2.5, −2.25)<span><span>-4-2-4-22</span><span>x:-4y:0</span></span>