The values of x and y are 45 and 8.
<h3>What is a Linear Pair of Angles?</h3>
When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.
Given:
Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.
As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.
To determine the values of x and y we equate the given angles to 90°.
2x = 90°
⇒ x = 45
And 11y+2 = 90°
⇒ 11y = 90-2 = 88
⇒ y = 8
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2 classes of 21 students each
21 × 2 classes = 42 students in total
42 × 3 mins = 126 minutes for 42 students
10 mins for 2 class pics = 20 minutes
126 + 20 = 146 minutes = 2 hours and 26 minutes
It should take 146 minutes (2 hours and 26 minutes) to take all the pictures.
<span>associative property of multiplication
answer
</span><span>4 ∙ (3 ∙ 6) = (4 ∙ 3) ∙ 6 </span>
Answer:
15
Step-by-step explanation:
Regina: 6.5h
Phil: 3(2.5h+5)
When you plug in the number of hours, you get the weekly pay. In order to get the same weekly pay, set the equations equal to each other.
6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.
6.5h=7.5h+15
-h=15
h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.
Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.