Answer:
b
Step-by-step explanation:
Answer:
5x^2-18x -8
Step-by-step explanation:
Answer:
if your looking for z it is 5/8k+2.375
Step-by-step explanation:
Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
<h3>How to Apply the Linear Angles Theorem?</h3>
Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
Learn more about the linear angles theorem on:
brainly.com/question/5598970
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