Please explain whether it's true or false? Thanks

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

15. true 16. false in my coculations.

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Sam is going to the store for his friends. He is buying each of them a soda that cost $2.50. If he spent $15, how many sodas did

ad-work [718]

Answer:

6 sodas.

Step-by-step explanation:

You would divide 15 by 2.50. Which equals 6. So that means he bought 6 sodas.

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4 years ago

Line k passes through points (-3,-6) and (-1,12) what is the slope of the line perpendicular to line c

yan [13]

Do you mean "perpendicular to k"? We have no line c there so I'm going with line k. First we need the slope of line k. Fitting those values into the slope formula we have $m= \frac{12-(-6)}{-1-(-3)} = \frac{18}{2} =9$ . So the slope of k is 9. The slope of a line perpendicular to k has the opposite sign and the fraction is flipped. The perpendicular slope then is -1/9.

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3 years ago

In the figure, mZRPZ = 95 and TU ||RQ|| VW. Find the measure of angle YSV.

madreJ [45]

Answer:

$m\angle YSV=85^o$

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the measure of angle QPZ

we kno that

$m\angle RPZ+m\angle QPZ=180^o$ ---> by supplementary angles (form a linear pair)

we have

$m\angle RPZ=95^o$ ---> given value

substitute

$95^o+m\angle QPZ=180^o$

$m\angle QPZ=180^o-95^o$

$m\angle QPZ=85^o$

step 2

Find the measure of angle YSV

we know that

When two lines are crossed by another line, Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.

In this problem

The transversal is the line XY

The two parallel lines are RQ and VW

therefore

$m\angle YSV=m\angle QPZ$ ---> by alternate exterior angle