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Strike441 [17]
3 years ago
5

10% of the students in a school like the color purple. 162 students don't like the color purple. How many students are in the sc

hool?
Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

There are 180 students at the school

Step-by-step explanation:

If 10% of the students like the color purple, then 100-10 = 90% do not like the color purple.

Students * percentage that do not like = students that do not like

students * 90% = 162

Change to decimal form

students *.90 = 162

Divide each side by .90

students *.90/.90 = 162/.90

students = 180

There are 180 students at the school

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The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:

93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x

Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
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Substitute the value of x in
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Hope this helps!
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3 years ago
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Step-by-step explanation:

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3 years ago
Answer please, thanks.
Rudik [331]
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thanks !

Step-by-step explanation:

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