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tatiyna
2 years ago
8

In the diagram shown, angles 1, 2, and 3 are congruent. The measure of / is 4° greater than the measure of /. The sum of the mea

sures of the 4 angles is 116°. What is the combined measure of angles 1 and 4?
Mathematics
1 answer:
zysi [14]2 years ago
5 0
<1 and < 2, and < 3 are congruent...they are equal

< 4 = < 1 + 4

x is gonna represent ur angles
x + x + x + x + 4 = 116
4x + 4 = 116
4x = 116 - 4
4x = 112
x = 112/4
x = 28

x + 4 = 28 + 4 = 32

so < 1 is 28 and < 4 is 32....combined = (32 + 28) = 60 <==
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Answer:

The answer is n = <u>31</u>

Step-by-step explanation:

Equation:   <u>2n + 13</u> = 75

2n = 75 - 13

2n = 62

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check:

2*31 + 13 = 75

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3 years ago
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In a simplified model of a hydrogen atom, the electron moves around the proton nucleus in a circular orbit of radius 0.53 × 10−1
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For the answer to the question above,
 <span>a) Use F = k * q1 * q2 / d² 
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b) Here, just use F = ma 
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3 years ago
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In a certain soccer tournament you are playing once with each of the other nine teams. In every match you get 3 points if you wi
bixtya [17]

Answer:

0.430625=0.431

Step-by-step explanation:

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

Read more on Brainly.com - brainly.com/question/14850440#readmore

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Step-by-step explanation:

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