Answer:
x + 96 = 90°
x + 89 = 80°
Step-by-step explanation:
<u>Consecutive Interior Angles Theorem</u>
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
<u>Question 1</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 96 = -6 + 96 = 90°
<u>Question 2</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 89 = -9 + 89 = 80°
Answer:
the student answer is incorrect
Correct answer: y = 109x + 5
Step-by-step explanation:
He STARTS with $5, which means it says aside. Since he REPEATEDLY recieves $109 EVERY day, it is as 109x because you don't know how much days there are. So the correct equation is y = 109x + 5.
Hope this helps!
Have a nice day!
The answer to this question would just be the distance between -54 and 92. The easiest way to solve this would be with absolute value. If you have questions about what that means let me know.
|-54|+92=t
54+92=t
146=t
The average temp in the equator is 146 degrees Fahrenheit warmer than the average temperature in the south pole
You can always look up the formulas on the internet.
