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olga_2 [115]
2 years ago
12

Point O is the center of the circle. What is the value of X? Answer options: 24, 15, 27, 20

Mathematics
1 answer:
Tanya [424]2 years ago
4 0

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

(Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)

The total measure of the secant shown is:

18+Diameter

If the radius is 7, then the diameter is:

D=7*2=14

Therefore:

Secant\ line=18+14=32

You also know that:

External\ Secant\ line=18\\Tangent\ line=x

Keeping the above on mind, you can substitute values and solve  for x:

x^{2}=32*18

x=\sqrt{576}\\x=24

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Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Sho
alina1380 [7]

Answer:

According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.

55 + 30 = 85 degrees

180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)

8 0
2 years ago
Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar
Ronch [10]

Answer:

Step-by-step explanation:

Let b represent the number of cups of butter needed.

Let s represent the number of cups of sugar needed.

Let o represent the number of cups of oat needed.

Let f represent the number of cups of flour needed.

The recipe calls for two times as many cups of sugar as butter. It means that

s = 2b

Two times as many cups of oats as sugar. It means that

o = 2s

Two times as many cups of flour as oats. It means that

f = 2o

If Duane puts in one cup of butter, it means that b = 1

Therefore,

s = 2 × 1 = 2 cups

o = 2s = 2 × 2 = 4 cups

f = 2o = 2 × 4 = 8 cups

Therefore, he needs to add 8 cups of flour

7 0
3 years ago
How old am i if 200 reduced by 2 times my age equals 16?
Anna [14]
Ok, so since it doesn't give a value for "my age", we'll call it x.  So the sentence translates into an equation...

200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16

200 - 2x = 16

Now let's solve for x to find "my age"

First subtract 200 from each side to begin to isolate x

-2x = -184

Divide each side by -2 to isolate x

x = -184/-2
x = 92

I'm 92 years old!
3 0
2 years ago
What is the answer to -3+p=?
nata0808 [166]
There is not an answer to an expression. 

-3+p is an expression, unless there was an equal sign and a sum at the end, that is when we can solve for the variable x. 

-3+p simply equals -3+p
7 0
3 years ago
Read 2 more answers
Write an equation if the line that passes through (0,-3) and (3,3) .
liq [111]

Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

m = (y2-y1)/(x2-x1)

m = (3-(-3))/(3-0)

m = 6/3

m = 2

y = mx + b

y = 2x + b

3 = 2(3) + b

3 = 6 + b

b = -3

therefore

y = 2x - 3

6 0
2 years ago
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