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Tcecarenko [31]
2 years ago
7

(a) An angle measures 43 . What is the measure of its complement? (b) An angle measures 81 . What is the measure of its suppleme

nt?
Mathematics
1 answer:
vampirchik [111]2 years ago
7 0
To solve the problem shown above, you must follow the proccedure shown below:

 1. By definition, Completary angles are those angles whose sum is 90 degrees and Suplementary angles are those angles whose sum is 180 degrees.

2. Keeping the information above on mind, you have:
<span>
 (a) An angle measures 43 . What is the measure of its complement?

 =90°-43°
 =47°

 (b) An angle measures 81 . What is the measure of its supplement?
</span>
 =180°-81°
 =99°

 The answers are:

 a) 47°
 b) 99°
 
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In the last race , the first car in the pit used 1 3/4 tanks of gas, the second car used 2 1/8 and the third car used 1 1/2 tank
riadik2000 [5.3K]

Answer: -5\frac{3}{8} tanks of gas


Step-by-step explanation:

Let the x be the number of tanks of gas, then

The amount of gas used by first car= 1\frac{3}{4}x=\frac{7}{4}x

The amount of gas used by second car= 2\frac{1}{8}x=\frac{17}{8}x

The amount of gas used by third car= 1\frac{1}{2}x=\frac{3}{2}x

Thus, the total change in the amount of gas for all three cars=\frac{7}{4}x+\frac{17}{8}x+\frac{3}{2}x

=x(\frac{7}{4}+\frac{17}{8}+\frac{3}{2})\\\\=x(\frac{14+17+12}{8})\\\\=x(\frac{43}{8})\\=5\frac{3}{8}x

Since, the amount of gas 5\frac{3}{8} tanks of gas is used for all three cars.

Therefore, the total amount would be negative .

hence, the answer is  -5\frac{3}{8} tanks of gas.

8 0
2 years ago
What is the positive solution of x2 – 36 = 5x?
Luba_88 [7]
<span>The equation x^2 - 36 = 5x is a quadratic equation and can be solved thus: x^2 - 36 = 5x x^2 - 5x - 36 = 0 x^2 + 4x - 9x - 36 = 0 x(x + 4) - 9(x + 4) = 0 (x - 9)(x + 4) = 0 x - 9 = 0 or x + 4 = 0 x = 9 or x = -4 Therefore, the positive solution of x^2 - 36 = 5x? is 9.</span>
6 0
2 years ago
Read 2 more answers
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Marat540 [252]

Answer:

3/20

Step-by-step explanation:

4 1/5 x 1/3 =

<em><u>1 2/5</u></em>

1 2/5 - 1 1/4 =

<u><em>3/20</em></u>

Have a nice day :)

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Answer:ghfgh

Step-by-step explanation:gggjxg

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Alik [6]
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