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DaniilM [7]
2 years ago
15

Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.

Mathematics
1 answer:
wlad13 [49]2 years ago
4 0

The given circle having two external tangents, according to circle

theorem, have the following values;

  • r = 3
  • m∠1  = 82°
  • m∠2 = 49°
  • x = 82°

<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

  • <u>r = 3</u>

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

  • <u>m∠1  = 82°</u>

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

  • <u>m∠2 = 49°</u>

The length of the chord subtended by the arc <em>x</em> is equal to the length of

the chord subtended by 89°, which gives;

  • <u>x = 82°</u>

Learn more about circle theorems applications here:

brainly.com/question/16879446

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Snezhnost [94]

Given:

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Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}

Using this formula, we get

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6 0
3 years ago
Determine if (3, 7) is a Solution or not Solution to the linear system.
spayn [35]

Answer:

y = 2x + 1 --> linear

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Not a solution for linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

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the height of a triangle is 7cm longer than its base. The area of the triangle is 60cm^2 What is the base of the triangle.
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Andrew has a salary of £250. He shares his salary with his sister in the ratio 2:3 every week. He saves 12% each week. How many
exis [7]
A = Andrew
S = Sister

A : S
2 : 3
2 + 3 = 5
250 ÷ 5 = 50
2 × 50 = 100
3 × 50 = 150

∴ A : S
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So Andrew keeps £100 of his salary every week.

Of this, he saves 12%:
100 × (12 ÷ 100) = 12
So he saves £12 every week

360 ÷ 12 = 30
∴ it will take him 30 weeks to save £360.
6 0
3 years ago
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