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seraphim [82]
3 years ago
5

Can anyone help with 19-22 with work shown I’m really confused

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

19.  C

20.  D

21.  B

22.  A

Step-by-step explanation:

If an angle is subtended from an arc and it goes to the opposite end of the circle, the angle is HALF of the measure of the arc. If it goes to the center, it is SAME measure as arc.

19.

Arc BC is DOUBLE of Angle BAC, so

78 * 2 = 156

Answer is C

20.

Arc BEC is DOUBLE of Angle BAC, so

114 * 2 = 228

Answer is D

21.

Angle ABC is HALF of Arc AC, so

Angle ABC = 110/2 = 55

Answer is B

22.

Angle ABC is HALF of Arc AC, so

Angle ABC = 218/2 = 109

Answer is A

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Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house. What was the total distanc
Makovka662 [10]

Answer:

Option D is correct.

75 miles is the total distance in miles to Kirk's grandmother's house

Step-by-step explanation:

Let x represents the total distance in miles to Kirk's grandmother's house.

As per the statement:

Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house

⇒ Distance Kirk's family drove = 36 miles.

then;

36 = 48% of x

36 = \frac{48}{100}x

Multiply both sides by 100 we get;

3600 = 48x

Divide both sides by 48 we have;

75 miles = x

Therefore, the total distance in miles to Kirk's grandmother's house is 75 miles

4 0
3 years ago
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Hey! I'v been struggling with this question lately. Can someone just lend me a hand?
Dominik [7]
So, this problem is asking us to find the value of our variable u. 

How can you do this? By isolating the variable, or having only it on one side of the equals sign. 

Here's the step by step approach. It's just simple algebra and reverse order of operation (which is what you should do whenever you are solving for a variable).

\frac{u+88}{11} = 17

Multiply both sides by 11 to get rid of the 11 denominator.
u + 88 = 187

Then, subtract both sides by 88 to get u by itself.
u = 99

Therefore, u is equal to 99. 

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3 years ago
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Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be​ ac
PolarNik [594]

Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is  \frac{3}{190}

So probability of being good is  \frac{187}{190}

Now,

Probability that all 3 of them are good is:

\frac{187}{190}^{3}=0.9533

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

1 - 0.9533 = 0.0467

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3 years ago
Choose the correct equation in the form y = mx + b
DedPeter [7]
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6 0
3 years ago
Find the missing sides using special right triangles
ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

5 0
3 years ago
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