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Phoenix [80]
4 years ago
13

An angle measures 152° less than the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
GrogVix [38]4 years ago
5 0

Two supplementary angles when added together need to equal 180 degrees.

Let the first angle = X

The second angle would then be X - 152

Add them together to equal 180:

X + X - 152 = 180

Simplify:

2X -152 = 180

Add 152 to each side:

2X = 332

Divide both sides by 2:

X = 332 / 2

X = 166

The first angle = X = 166 degrees.

The second angle = X - 152 = 166 - 152 = 14 degrees.

The angles are 166 and 14

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aivan3 [116]

Answer:

Is shaded 5/8 of the area of the rectangle

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of triangle ABC represent 1/4 of the total area

The area of triangle CDE represent 1/8 of the total area

The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE

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8 0
3 years ago
5 pounds is how many ounces
chubhunter [2.5K]

Answer:

80 ounces

Step-by-step explanation:

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4 0
3 years ago
Juan's card was worth $800. Over the last 5 years, the collection decreased $300 in value, what integer represents the average d
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7 0
3 years ago
0.75(2 + 6 x 4 - 2 x 7 - 2) A. 1 B. 5.25 C. 8.5 D. 22.5
Alekssandra [29.7K]

Hey there!

ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)

WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2

= 2 + 24 - 2 × 7 - 2

= 26 - 2 × 7 - 2

= 26 - 14 - 2

= 12 - 2

= 10


NEW EQUATION:

0.75(10)


SIMPLIFY IT!
7.50 ≈ 7.5


Therefore, your answer should be: 7.5



~Amphitrite1040:)

5 0
3 years ago
If a polygon has a vertex at (161, -329) and it is translated 168 units to the right, what are the coordinates of that vertex's
bearhunter [10]
Vertex of the polygon is (161, -329)

The new vertex is shifted 168 units to the right. A horizontal shift can be achieved be adding or subtracting the number from the x-coordinate. A change in the y coordinate brings the vertical shift. So in this case the x-component will change only and y component will be the same.

A shift towards right means, the value of x component is increase as x gets larger as we move towards right on the graph. So moving 168 units to the right, we will get the following vertex (329 , -329)

Thus, the new vertex of the polygon will be at the point (329, -329)
5 0
3 years ago
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