Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the
and the
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
We first get rid of the fraction by multiplying both sides by 10
this gives us: -70+10x=x-160
subtract x from both sides
this gives us: =-70+9x=-160
add 70 to both sides
this gives us 9x=-90
divide both sides by 9
this gives us x=-10
You have to watch 30 movies to earn a free movie pass.
Step-by-step explanation:
Given,
Points earned for each movie = 2 points
Current points = 40 points
Free movie pass = 100 points
Let,
x be the number of movies you have to watch.
2*number of movies + current points = 100

Subtracting 40 from both sides

Dividing both sides by 2

You have to watch 30 movies to earn a free movie pass.
Keywords: linear equation, division
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If you add his expenses, $2.10 + $4.45 you’ll get that Luke spent $6.55 today.
Then subtract his expenses by how much he made for mowing the lawn, $13.50 - $6.55 =
Your answer is A. $6.95
Answer:
Scale factor can be used in almost all situations. Scale factor is used in math and can be used when constructing any mini model of a real life design. Scale factor is often utilized in cooking recipes/procedures.
Step-by-step explanation: