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babymother [125]
3 years ago
9

What is the value of x.

Mathematics
2 answers:
Ivanshal [37]3 years ago
5 0

Answer:

<U+<V +< W = 180°[sum of interior angle of a triangle is 180°]

3x+9° +30° + 24° = 180°

3x + 45° = 180°

3x = 180° -45° = 135°

x = 135/3

x = 45°

aliina [53]3 years ago
4 0

THEOREM:

  • Angle sum property —: The sum of interior angles of a triangle is 180°.

ANSWER:

<u>By angle sum property</u>,

∠U + ∠V + ∠W = 180°

  • 3x - 9° + 30° + 24° = 180°
  • 3x + 45° = 180°
  • 3x = 180° – 45°
  • 3x = 135°
  • x = 135/3
  • x = 45°

So, <u>Correct choice</u> - [C] 45°.

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Clive and Erica both have part-time jobs where they get paid by the hour. Erica makes more than Clive. The number of dollars, dd
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<em>Missing Options:</em>

<em>A. Erica's graph is incorrect, because the slope  should be greater than 9.5. </em>

<em>B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5. </em>

<em>C. Erica's graph is correct, because the slope  should be less than 9.5. </em>

<em>D. Erica's graph is correct, because the y–intercept  should be less than 9.5.</em>

<em></em>

Answer:

A. Erica's graph is incorrect, because the slope  should be greater than 9.5.

Step-by-step explanation:

Given

Clive:

d = 9.5h

Erica:

m = 9 --- slope

b =0 --- y intercept

First, we need to determine the equation of Erica's earnings using

d = mh + b

Where

m = slope = 9

b = y intercept = 0

So, the equation becomes

d = 9 * h + 0

d = 9h + 0

d = 9h

This implies that Erica earns 9 dollars per hour

For Clive:

d = 9.5h

This means that Clive earns 9.5 dollars per hour

From the question, we understand that Erica earns more than Clive.

<em>So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.</em>

<em>When the slope is greater than 9.5, then she earns  more than Clive.</em>

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Answer:

See below

Step-by-step explanation:

1. A

2. F

3. G

4. I

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