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Elden [556K]
3 years ago
11

Two complementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
2d=90
d=45
complementary angles add up to 90 degrees. If the two angles are congruent, it means that both angles have the same measurements
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The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg. Find t
Rudiy27

Answer:

Correct answer:  c = 29 m, a = 21 m  and b = 20 m

Step-by-step explanation:

Given:

a = b + 1  longer leg a

c = b + 9 hypotenuse c

To solve this problem, we will use Pythagoras' theorem

c² = a² + b²

(b + 9)² = (b + 1)² + b²  

b² + 18 b + 81 = b² + 2 b + 1 + b²

2 b² - b² + 2 b - 18 b + 1 - 81 = 0

b² - 16 b - 80 = 0  we will factorize this equation

⇒ b² - 20 b + 4 b - 80 = b (b - 20) + 4 ( b - 20) = (b - 20) · (b + 4) = 0

(b - 20) · (b + 4) = 0 ⇒ b = 20  or b = - 4  false

we accepted b = 20 m

c = b + 9 = 20 + 9 = 29 m

c = 29 m

a = b + 1 = 20 + 1 = 21 m

a = 21 m

God is with you!!!

5 0
3 years ago
Jackie made $28 babysitting last week. Her brother Joe made only 86% as much as she did. How much did joe make?
Alex777 [14]
28X0.86 = 24.08, therefore Joe made $24.08
4 0
3 years ago
Read 2 more answers
Which is a simplified form of the expression 2(5x + 1) – 3x?
Oksana_A [137]

Answer:

7x + 2 is your answer.

Step-by-step explanation:

<em>2(5x + 1) – 3x</em>

<em>10x + 2 - 3x</em>

<em>7x + 2 </em>

7x + 2 is your answer.

6 0
3 years ago
Simplify: 5a + 1r + 2a + 4r
Marina CMI [18]

Answer:

7a+5r

Step-by-step explanation:

5a + 1r + 2a + 4r

add like terms

7a+5r

hope that helps

4 0
3 years ago
Round fraction 3 3/2 to nearest whole number
fenix001 [56]
The answer is: 4 because when you put the mixed number in an improper fraction it is 11/3 and 11 divided by 3= 3.67, so you will need to round it to the nearest whole number which is 4
3 0
3 years ago
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