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a_sh-v [17]
3 years ago
11

CAN SOMEONE HELP WITH THIS ASAP!!!

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90         [combine like terms]

10x+10=90                 [subtract both sides by 10]

10x=80                       [divide both sides by 10]

x=8

Now, we know that x=8.

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How to solve 5h-2(3/2h+4)=10
trasher [3.6K]

Answer:

h = 9

Step-by-step explanation:

Solve for h:

5 h - 2 ((3 h)/2 + 4) = 10

Put each term in (3 h)/2 + 4 over the common denominator 2: (3 h)/2 + 4 = (3 h)/2 + 8/2:

5 h - 2(3 h)/2 + 8/2 = 10

(3 h)/2 + 8/2 = (3 h + 8)/2:

5 h - 2(3 h + 8)/2 = 10

(-2)/2 = (2 (-1))/2 = -1:

5 h + -1 (3 h + 8) = 10

-(3 h + 8) = -3 h - 8:

5 h + -3 h - 8 = 10

Grouping like terms, 5 h - 3 h - 8 = (5 h - 3 h) - 8:

(5 h - 3 h) - 8 = 10

5 h - 3 h = 2 h:

2 h - 8 = 10

Add 8 to both sides:

2 h + (8 - 8) = 8 + 10

8 - 8 = 0:

2 h = 10 + 8

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Divide both sides of 2 h = 18 by 2:

(2 h)/2 = 18/2

2/2 = 1:

h = 18/2

The gcd of 18 and 2 is 2, so 18/2 = (2×9)/(2×1) = 2/2×9 = 9:

Answer: h = 9

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