2 years ago

What is the value of x? to

Mathematics

1 answer:

Yuri [45]2 years ago

3 0

Answer:

30°

Step-by-step explanation:

It's an equilateral triangle, which means that the angle at the center is 60°. The angle where the tangent line touches the circle is 90°. You have 2 out of 3 angles. Now all you have to do is subtract the two angles from 180°.

180 - 90 - 60 = 30

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Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm

Andreyy89

Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

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4 years ago

2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees

kykrilka [37]

Answer:

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Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are $(3n-28)^\circ$ and 83^\circ.$

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

$(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37$

8 0

3 years ago

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IrinaVladis [17]

Answer:

44 5/6 "the second one"

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4 years ago

Steve drove 9 1/2 hours at 66 miles per hour. What distance, in miles, did he travel?

Lynna [10]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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