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djverab [1.8K]
3 years ago
15

Does anyone mind giving me a hand answering this question?

Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:

  A.  x = 4

  B.  ∠C = 80°

Step-by-step explanation:

<h3>A.</h3>

The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...

  140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°

  31x +416° = 540° . . . . . . collect terms

  31x = 124° . . . . . . . . . . subtract 416°

  x = 4

__

<h3>B.</h3>

The measure of angle C is found by substituting the value of x into the given expression for angle C.

  (16x +16)° = (16(4) +16)° = 80°

Angle C is 80°.

_____

<em>Additional comment</em>

It can be useful to remember that the sum of <em>interior</em> angles of an n-gon is ...

  (180°)(n -2)

This can be derived from the fact that the sum of <em>exterior</em> angles is always 360°.

These relations apply to <em>convex</em> <em>polygons</em>. YMMV when there are reflex angles or when sides cross each other.

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Which describes the slope of the given line?
allsm [11]

Answer:

Option C (Negative)

Step-by-step explanation:

A line with a negative slope goes downward from the left side of the graph to the right side.

A positive line would be the opposite; the line goes upward form left to right.

A horizontal line has zero slope. A vertical line has undefined slope.

The given line has the line going downward.

Option C should be the correct answer.

Hope this helps.

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4 years ago
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What is m &lt; RSK<br><br>A 60<br><br>B 80<br><br>C 110<br><br>D 120
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Step-by-step explanation:

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3 years ago
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When the solution of x2 - 9x - 6 is expressed as <br> what is the value of r?<br> NIH
Olegator [25]

Hey there! :)

Answer:

r = 105.

Step-by-step explanation:

In the quadratic formula, √r = {\sqrt{b^{2}-4ac }

Where a = 1, b = -9, and c = -6. Therefore:

√r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

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Therefore, r = 105.

5 0
4 years ago
The first aircraft has 68 more seats than the second aircraft. The third aircraft has 44 fewer seats than the second aircraft. I
galben [10]

Answer:

Aircraft 1 has 194 seats, Aircraft 2 has 126 seats, and Aircraft 3 has 82 seats.

Step-by-step explanation:

In order to solve the present problem, an equation must be formulated. Thus, if the first aircraft has 68 seats more than the second one, and the third one has 44 fewer seats than the second aircraft, we can establish the following values:

Aircraft 1: X + 68

Aircraft 2: X

Aircraft 3: X - 44

Therefore, the equation could be stated as follows:

X + 68 + X + X - 44 = 402

3X = 402 + 44 - 68

3X = 378

X = 378/3

X = 126

So, Aircraft 1 will have 194 seats (126 + 68), Aircraft 2 will have 126 seats, and Aircraft 3 will have 82 seats (126 - 44).

4 0
4 years ago
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