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agasfer [191]
2 years ago
6

Find the value of each variable in the circle to the right. The dot represents the center of the circle.

Mathematics
1 answer:
MrMuchimi2 years ago
4 0

9514 1404 393

Answer:

  a = 57.5

  b = 90

  c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

__

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

__

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

  (a, b, c) = (57.5, 90, 65)

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A basketball team played 25 games and won 7 more then they lost. How many games did they win and lose
Darya [45]

Answer:

lost = 9 games

and

won = 9 + 7 = 16 games

Step-by-step explanation:

Given that:

Total games played = 25

According to given condition:

lost = x

won = 7 + x ----------- eq1

x + x + 7 = 25

2x = 25 - 7

2x = 18

x = 9

So they lost = 9 games

and won = 9 + 7 = 16 games

i hope it will help you!

7 0
2 years ago
Read 2 more answers
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of
dusya [7]

Answer:

Penny would need to put in ~ $18,181.82

Step-by-step explanation:

Using the equation A = P(1+rt)

Where A = the total

P is equal to the starting amount

r is equal to the rate (percent)

and t is equal to the total time.

We can put in:

A = $40,000

r = 0.08 (8%)

t = 15

40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...

Round to the nearest whole cent

P = $18,181.82

3 0
2 years ago
1. Four cards are drawn at random without replacement from a standard deck of 52 cards. Compute the probability that all are of
OLga [1]

Answer:

1) 10.55%

2) 30.77%

Step-by-step explanation:

52/52•39/51•26/50•13/49 = 0.105498... ≈ 10.55%

100% chance you draw a unique card on the first draw

51 cards left of which 13(3) = 39 are unique suit for your second draw

50 cards left of which 13(2) = 26 are unique suit for your third draw

49 cards left of which 13(1) = 13 are unique suit for your forth draw.

Two balls are already green

Leaves 4 red balls in a field of 13 balls

4/13 = 0.307692... ≈ 30.77%

3 0
2 years ago
What’s the area of the triangle??
viktelen [127]
Note that one side is 20 ft, and the other is 16.

This means that the side that is part of the triangle is 4 ft.

The measurement is still the same for the triangle's height.

Find the area of the rectangle:
24 x 16 = 384
Find the area of the triangle:
4 x 24 = 96

Add the two numbers together:

384 + 96 = 480

You're answer is (C)

hope this helps
5 0
3 years ago
Read 2 more answers
What number is a common multiple of 5 and 9?
Yakvenalex [24]
45 is the answer. It is the least common multiple of 5 and 9. Multiples of 5: 5, 10,15,20,25, 30, 35, 40, 45 and multiples of 9: 9, 18, 27, 36, 45
6 0
3 years ago
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