Answer:
152 square inches
Step-by-step Explanation:
To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)
We should get 80+48+24 which add up to 152.
In case if you are confused which parts you don't understand in these photos, you can ask in the comment.
4x - 12 = -7x - 111
11x = -99
x = -9
Answer:
(-4, -5) it gives the answer in the question
Step-by-step explanation:
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
To find out how many students voted, you just add the 2 numbers up and you'll get 98. So 98 students voted.
