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andrew-mc [135]
2 years ago
6

∠a and ∠b are supplementary angles. if m ∠a =(x +6)° and m ∠b= (7x +30)°, then find the measure of ∠a.

Mathematics
1 answer:
Bezzdna [24]2 years ago
5 0

Answer:

24 Degrees

Step-by-step explanation:

Supplementary Angles are two angles with a sum of 180 degrees.

x+6+7x+30=180

8x+36=180

8x=144

18=x

Plug in 18 to angle A

18+6=24

24 degrees

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Your answer would be 22mph
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3 years ago
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Which of the following relations is a function?
MrMuchimi

Answer:

<em>A. (1,4), (-5, 2), (7, 1), (-8, 2)</em>

Step-by-step explanation:

<u>Definition of a Function</u>

A function is a relation between an input and an output set of values with the condition that every element in the input set relates only to one element in the output set.

From the four options presented in the question, we must select the only one that doesn't repeat the value for x and has a different value of y.

For example, the set

B. (1,4), (-5, 6), (1, 3), (-8, 2) is not a function because the input value of 1 has two different output values

C. (1,0), (-5,3), (7, 1), (-5,5) is not a function either because the input value of -5 has two different output values

The correct choice is:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

6 0
2 years ago
A certain number was divided by 3 and 3 was added to the result. The final answer was 8 what was the number​
nevsk [136]

Answer:

15

Step-by-step explanation:

x/3 + 3 = 8

x/3 + 9/3 = 8

x + 9 = 24

x = 15

5 0
2 years ago
Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 o
Leni [432]

Answer:

Step-by-step explanation:

price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00

4 years = 3×365 days + 366 days = 1461 days

cost of electricity = 1461 days × $0.06/day = $87.66

lifetime cost = purchase price + electricity + repairs

= $202.00 + $87.66 + 2·$29

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8 0
2 years ago
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Answer:

  • draw lines center to vertex
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Step-by-step explanation:

<u>Part A</u>:

The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.

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<u>Part B</u>:

The area of each triangle is given by the triangle area formula:

  A = (1/2)bh

  A = (1/2)(10 in)(8.7 in) = 43.5 in²

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<u>Part C</u>:

The area of the table top is 6 times the area of one triangle:

  surface area = 6(43.5 in²) = 261 in²

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3 years ago
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