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galina1969 [7]
3 years ago
7

11. In circle H, if mDHG = (11x - 36)* and mGHF = (x + 12), find mDG.

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

mˆDG=151∘∘

An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string

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Which pair shows equivalent expressions? 2 x + 10 = negative 2 (x minus 5) Negative 2 (x + 5) = 2 x minus 10 Negative 2 x minus
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Answer:

C. –2x – 10 = –2(x + 5)

Step-by-step explanation:

Clearer choices:

2x + 10 = –2(x – 5)

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All choices have either:

–2(x – 5) for A and D

or –2(x + 5) for B and C

Simplify these expressions by <u>expanding</u> with the distributive property. Multiply the outside term "–2" with each term inside the brackets.

–2(x – 5)

= (–2*x) – (–2*5)          Multiply each term by the coefficient

= –2x – (–10)           Simplify the double negative to a positive

= –2x + 10             Expanded expression

This is not the same answer in A and D. They are not correct.

–2(x + 5)

= (–2*x) + (–2*5)           Multiply each term by the coefficient

= –2x + (–10)          Adding a negative is the same as subtraction

= –2x – 10             Expanded expression

This is the same answer for <u>option C</u>.

Therefore "C" is the answer.

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Step-by-step explanation:

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