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Ilya [14]
3 years ago
11

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not dr

awn to scale.)

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

x = 64.

Step-by-step explanation:

If PQ is a segment on a tangent to the circle at point Q (as per the question), then <OQP is a right angle, so m<OQP=90 degrees. The angles in the triangle OPQ will need to sum up to 180 degrees. We are given m<OPQ=26 degrees. It remains to be determined the angle x = 180 - 90 - 26 = 64.

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sineoko [7]

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142.92

Step-by-step explanation:

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3 years ago
Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of
Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + <u>1</u>

3 = 2 + <u>1</u>

4 = 3 + <u>1</u>

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

sum =  \frac{n}{2} \{ a  + a  _{n}  \}

here,

  • n is the number of terms
  • a is the first number of the series
  • an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

S  =   \frac{25}{2}\{ 1  +25\}

=  \frac{25 \times 26}{2}

= 25  \times 13

= 325

So, the value of S comes out to be 325.

8 0
3 years ago
Read 2 more answers
porque una roca pequeña se hunde en el agua mientras los barcos no se hunden apesar de ser tan pesados​
Nataliya [291]

Answer:

Step-by-step explanation: una roca se unde porque aunq tiene una forma solida igualmente que un barco, la roca no tiene aire dentro de ella, a diferencia del barco que es hueco por dentro, contiene aire causando que flote y no pueda hundirse

8 0
2 years ago
A rectangler prism and a cylinder have the same height. the length of each side of the prism base is equal to the diameter of th
nexus9112 [7]

Answer: The rectangular prism?

7 0
3 years ago
Given the definitions of f(x) and g(x) below, find the value of (fog)(-8).
Masja [62]

Answer:

(f \circ g)(-8) = 16

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

(f \circ g)(x) = f(g(x))

Therefore;

(f \circ g)(-8) = f(g(-8))

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

(f \circ g)(-8) = f(g(-8)) = 16

3 0
3 years ago
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