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bulgar [2K]
2 years ago
10

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.

4 0
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:

n=37

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
Please answer this correctly without making mistakes
IrinaVladis [17]

Answer:

44 5/6 "the second one"

5 0
4 years ago
Steve drove 9 1/2 hours at 66 miles per hour. What distance, in miles, did he travel?
Lynna [10]

Answer:

627 miles

Step-by-step explanation:

66×9.5=627 miles

7 0
3 years ago
3 3/4 times 25 divided by 60 equals
Phantasy [73]

Answer:

1.5625

Step-by-step explanation:

7 0
3 years ago
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