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Tasya [4]
1 year ago
8

The measure of an angle is 61.8°. What is the measure of its supplementary angle?

Mathematics
2 answers:
uysha [10]1 year ago
7 0

Answer:

118.2°

Step-by-step explanation:

supplementary means angle so it makes 180°

180-61.8=118.2°

mars1129 [50]1 year ago
3 0

Answer:

118.2°

Step-by-step explanation:

Supplementary angles are angles that sum up to 180°. 180 - 61.8 = 118.2°, so that's you answer.

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Describe the general properties of rotations. Include a discussion of the properties of rigid transformations, and line segments
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Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.


4 0
3 years ago
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How much candy at $1.16 a pound should be mixed with candy worth 86 cent a pound in order to obtain a mixture of 60 pounds of ca
vovangra [49]
Let the weights of the two candies be repres. by x and y.

Then x + y = 60, or x = 60 - y

($1.16 / lb) x + ($0.86 / lb) y = ($1.00 / lb) (60 lb) = $60

Then 1.16(60-y) + 0.86y = 60
   69.6 - 1.16y + 0.86y = 60                                9.6
     9.6 = 0.3y                         Solving for y, y = ------- = 32 lb
                                                                            0.3

                                               Then x = (60-32) lb = 28 lb
5 0
3 years ago
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What is the sum of the angle measures in a decagon?<br><br> 1,800°<br> 1,440°<br> 1,260°<br> 210°
JulijaS [17]

Use the formula (n - 2) * 180 to find the sum of the interior measures of a polygon.

n stands for the number of sides that the polygon has, so substitute 10 for n since a decagon has 10 sides.

(10 - 2) * 180, start by solving inside the parentheses and subtracting 10 and 2.

(8) * 180, multiply.

B. 1,440 is your answer.

3 0
3 years ago
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Which of the following is false for the hyperbola (x+5)^2/4^2 - (y-2)^2/3^2=1
disa [49]

Answer:

C)One of the vertices is (-10,2)

Step-by-step explanation:

Given the hyperbola: \dfrac{(x+5)^2}{4^2} -\dfrac{ (y-2)^2}{3^2} =1

The standard equation for a hyperbola with a horizontal transverse axis is:

\dfrac{(x-h)^2}{a^2} -\dfrac{ (y-k)^2}{b^2} =1 where the center is at (h, k).

For our given hyperbola, the center (h,k)=(-5,2)

Now:

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Since the center is at (-5,2), its foci (-c,0) and (c,0) are:

(-5-5,2) and (-5+5,2)= (-10,2) and (0,2)

Similarly, since the center is at (-5,2), its vertices, (-a,0) and (a,0) are:

(-5-4,2) and (-5+4,2)= (−9,2), (−1,2).

Therefore, the odd option is C.

3 0
3 years ago
What is negative twenty times three? <br> −20 ⋅ 3
bulgar [2K]
Negative × positive = negative
20×3=60
since its a negative, just add the sign
-60
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3 years ago
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