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salantis [7]
3 years ago
15

Which of the following reasons complete the proof in the picture below

Mathematics
1 answer:
lana [24]3 years ago
6 0
If a and b are supplements, their total is 180 degrees, by definition. If b and c are supplements, their total is 180 degrees, by definition.
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Someone please help me out with number 8 and 9 and 10
Ket [755]

Answer:

9. 0.0539 Liters

10. 216 quarts

Step-by-step explanation:

I dont know the answer to 8 but i do for 9 and 10!

plz drop a brainliest.

8 0
3 years ago
Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
Evgen [1.6K]

81000-37000=44000

Rounded to the nearest thousand

3 0
2 years ago
Read 2 more answers
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are
Katarina [22]

Answer: Area = 6m²

              Smaller number = 16

              Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m                                2) w = x + 1 m

     l = x + 5  m                               l = x + 5 - 2 = x + 3 m

A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2

A₁ = A₂

x² + 5x = x² + 3x + 2

5x - 3x = 2

2x = 2

x = 1

A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

<u> 2 </u> = <u> x </u>

5     40

5x = 80

x = 80/5 = 16

Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers                      hours

    16                              3

     5                               x

↑                                          ↓              inversely proportional

<u> 5 </u> = <u> 3 </u>

16      x

5x = 16*3

5x = 48

x = 48/5

x = 9.6 h

 

6 0
3 years ago
Why the output is a zero number ?<br><img src="https://tex.z-dn.net/?f=%28x%20-%203%29%20%5Ctimes%20%28x%20%20%20%2B%204%29%20%3
ELEN [110]

Answer:

see explanation

Step-by-step explanation:

Given

(x - 3) × (x + 4) = 0, that is

(x - 3)(x + 4) = 0

The zero product indicates that (x - 3) = 0 or (x + 4) = 0

x - 3 = 0 ⇒ x = 3

x + 4 = 0 ⇒ x = - 4

Thus if x = 3, then

(3 - 3)(x + 4) = 0 × (x + 4) = 0

Similarly if x = - 4 the output is zero

4 0
3 years ago
A triangle has side lengths of 12 cm and 35 cm and 37 cm. Classify it as acute, obtuse or right
Lapatulllka [165]
This triangle would be acute none of the angles are greater than or equal to 90.
4 0
3 years ago
Read 2 more answers
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