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skad [1K]
2 years ago
10

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
kap26 [50]2 years ago
5 0
The term "supplementary" means that the two angles add up to 180°, which means we can write an equation:
17x + x = 180
18x = 180
÷ 18
x = 10
And now you can multiply 10 by 17, because it is 17 times the angle, to get 170° and 10° as your answer.

I hope this helps!
You might be interested in
Q14
posledela

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

8 0
3 years ago
If a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
sergij07 [2.7K]

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

6 0
3 years ago
All of the following are equivalent, except _____.<br><br> 3x<br> 2x 2<br> x(2 + 1)<br> 2x + x
Blizzard [7]
2x 2 is the answer your looking for,

When there are two variables (letters) you combine them by adding
6 0
2 years ago
A garden is in the shape of a square. the area of the garden is 178 square meters. the exact length of a side of the garden is b
Tanya [424]
The answer to this is <span>13.34.</span>
6 0
3 years ago
PLEASE HELP ASAP I WILL GIVE BRAINLIESS NO GUESSING!!!
tino4ka555 [31]

Answer:

7

-

8

Step-by-step explanation:

5 0
2 years ago
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