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trasher [3.6K]
3 years ago
12

3.2 geometry worksheet

Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

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Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

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Which is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
iren2701 [21]
Equation of circle is (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
r^2 = (2 - 3)^2 + (-1 - 4)^2 = (-1)^2 + (-5)^2 = 1 + 25 = 26
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3 years ago
I only need the answer.TY
emmainna [20.7K]

12a = 48!

I hope this helps you!

3 0
3 years ago
WILL GIVE BRAINLIEST <3
Lynna [10]

Answer:

I cant solve number 1 but I can for number 2

Calculate GCF for each

You can learn how to use the prime factorization method to do this

GCF(12, 18, 40, 45) = 1

So I dont get what the problem is because there are no numbers for #2. So either I dont understand the problem or it is a trick question whereas the answer is UNDEFINED/IMPOSSIBLE.

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4 years ago
A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, t
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Here we must see which information about the graph of a linear relationship is given.  The information given is just the y-intercept and a point that is not an intercept, thus the correct option is E.

<h3>Linear relationships:</h3>

So we define a general linear relationship as:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this problem we know that:

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The first point gives us the y-intercept (the thickness at week 0), the second one gives us the fact that the relationship is linear, and the third one is just a point on the line (that can be used to get the slope.)

So the information given is just the y-intercept and a point that is not an intercept, thus the correct option is E.

If you want to learn more about linear relationships, you can read:

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