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zepelin [54]
3 years ago
13

M/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x​

Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0

Answer:

x=11

Step-by-step explanation:

Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:

m\angle DCB = m\angle HCB + m\angle DCH

Substitute in the appropriate values/expressions:

(9x-1) = (60) + (2x+16)

Solve for <em>x</em>. Combine like terms:

9x - 1 = 2x + 76

Subtract 2<em>x</em> from both sides:

7x - 1 = 76

Add one to both sides:

7x = 77

And divide. Hence:

x=11

julia-pushkina [17]3 years ago
3 0

Answer:

x=11

Step-by-step explanation:

<DCB = <DCH + < HCB

9x-1 = 2x+16 + 60

Combine like terms

9x-1 = 2x+76

Subtract 2x from each side

9x-1-2x= 2x+76-2x

7x-1 = 76

Add 1 to each side

7x-1 +1 = 76+1

7x = 77

Divide by 7

7x/7 = 77/7

x=11

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