Students conducted a survey to determine whether local high school students wear their seat belts. First, they asked 60 students whether they wear their seat belts
when they ride or drive in a car. 90% of students surveyed respond that they do wear
their seat belts.
The students conducting
the survey followed up with another survey to check their
results. This time, the students sat at the corner of the high school driveway and
counted the number of students wearing their seat belts and the number of students
not wearing their seat belts as the cars drove by. Of the 19 students counted, 12 were
wearing their seat belts.

Do the results of the count agree with those of the first survey? Justify your answer by explaining why the second study and data do or do not adequately support the
original survey.

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Step-by-step explanation:

Step-by-step explanation:

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c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.