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Fynjy0 [20]
3 years ago
7

Find x. Assume that any segment that appears to be tangent is tangent.

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
The value of x is 21.

To find this one, we need to know the formula with intersecting lines outside of the circle.

It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.

Therefore, we can write and solve the following equation:

(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21
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Blake's pool can hold 2.539 gal of water when full. If it takes 9 hours to fill the empty pool. How much water will be in the po
Dovator [93]

Answer:

0.2821 gal

Step-by-step explanation:

Since this is a direct and proportional relationship, we know that the ratio for 2.539 gal of water to 9 hours is the same as the ratio from the water in the pool after 1 hour to 1 hour. Therefore, we can simplify 2.539:9 into 0.2821111... I’m not sure what value you must round to, so I’ll assume it is to the nearest thousandth. Hence, our answer is 0.2821 gal.

I hope this helps! :)

5 0
3 years ago
Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $5 for children. Ninety-two adults and childr
zmey [24]

Answer:

Step-by-step explanation:

a + c = 92.....c = 92 - a

8a + 5c = 688

8a + 5(92 - a) = 688

8a + 460 - 5a = 688

3a = 688 - 460

3a = 228

a= 228/3

a = 76 <==== adults

a + c = 92

76 + c = 92

c = 92 - 76

c = 16 <=== children

4 0
3 years ago
Jason tossed a fair coin 3 times. What is the probability of getting a head and two tails in any order 1.3/8 2.4/8 3.5/8 4.6/8 p
ladessa [460]

Answer:

1. 3/8

Step-by-step explanation:

Total tossed times = 3

Total Possibilities = 8

Possibilities = (Head, Head, Head), (Tails,Tail,Tails), (Head,Head,Tails), (Head,Tail,Head), (Tails,Head,Head), (Head,Tail,Tail), (Tail,Tail,Head), (Tail,Head,Tail)

Number of options with a head and two tails = 3

So, Probability = Number of correct options ÷ Number of total possibilities

= 3 ÷ 8 or 3/8

4 0
3 years ago
Find the slope of the line described by the equation. 4y = 152 − 19x
Softa [21]

Answer: - 19/4

Step-by-step explanation:

To find the slope , all we need to do is to write the equation in the form y = mx + c , where m is the slope and c is the y - intercept.

That means we need to make y the subject of the formula in the equation.

4y = 152 - 19x

Divide through by 4

y = 152/4 - 19x/4

y = 38 - 19x/4

Therefore the slope is -19/4

4 0
3 years ago
Read 2 more answers
What does fregmant means
disa [49]

Answer: A section of something

Step-by-step explanation: A section of something

4 0
3 years ago
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