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sertanlavr [38]
2 years ago
14

Calculate the measure of the major arc MPN.

Mathematics
1 answer:
34kurt2 years ago
4 0

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

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Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.
Ivenika [448]

ANSWER

c. 6x^2 + 2x + 8, quadratic trinomial

EXPLANATION

The given polynomial is

8 - 4 {x}^{2}  + 10 {x}^{2}  + 2x

We regroup the terms to get;

10  {x}^{2}  - 4 {x}^{2}  + 2x + 8

Simplify now to obtain:

6 {x}^{2}  + 2x + 8

This is a quadratic polynomial function based on the degree.

It is also a trinomial based on the number of terms.

The correct answer is C

5 0
3 years ago
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In the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Pachacha [2.7K]

Answer:

The laws of pemdas say that exponent must come first.

8 0
3 years ago
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Graph: f(x) = (1/4)x
amid [387]

Answer: The initial value of a function is its value when equals zero. This is the same as the -intercept. We can see from the graph that our line crosses the -axis at the point zero, eight. Therefore, the initial value is eight.

Step-by-step explanation:

7 0
2 years ago
The figures are similar. Find x.
Luda [366]

Answer:x=16.5

Step-by-step explanation:

22divided by 4 is 5.5

5.5 times 3 is 16.5

4 0
3 years ago
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
Read 2 more answers
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