The measure of both the interior angles are 70 and 110 degree.
<h3>What are Parallel Lines ?</h3>
Lines they never intersect with each other and the distance between them always remains same are called parallel lines.
It is given that
Line l and m are parallel lines and are intersected by a transversal ,n
Interior angles of the same side are (2x−8) degree and (3x−7) degree
Applying the property of interior angles of parallel lines
2x -8 + 3x - 7 = 180 degree
5x -15 = 180
5x = 195
x = 39 degree
Both the angles have measure of
2 * 39 - 8 = 70 degree
3 * 39 -7 = 110 degree
Therefore the measure of both the angles are 70 and 110 degree.
The complete question is
Two parallel lines l and m are cut by a transversal n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree , find the measure of each of these angles.
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Answer:
3.75 + 0.15n ≤ 5.25
Step-by-step explanation:
You can not spend more than $5.25 so the inequality sign must be less than or equal to
If you know the shop charges a minimum of $3.75 for a sandwich, you need to include that in your equation
The $0.15 for additional toppings is included as $0.15 multiplied by n (0.15n)
n can be from 0-10, as 10 is the most toppings you can get before you go over your spending limit and you don't have to pay for additional toppings if you don't want to.
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Answer :</h3>
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<h3>
Solving Steps:</h3>
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<u>breakdown</u>
<u>factor common term</u>
<u>collect in groups</u>
<u>apply difference between two square method:</u> x² - y² = (x+ y)(x-y)
<u>simplify</u>
Answer: 10.5
Step-by-step explanation:
First you make the fractions top heavy instead of mixed numbers, so:
5/2 × 16/5
Then you just multiply across:
5 × 16 = 80
2 × 5 = 10
Your answer is 80/10, which can be simplified to 8.
