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3 years ago

10

What is the measure of angle DCE? Use numbers only.

1 answer:

Zarrin [17]3 years ago

4 0

Answer:

156 degrees

Step-by-step explanation

First we need to figure out what X is. To do that we set up the equation 7x+3=8x because vertical angles are congruent. After solving that we get x=3. We plug 3 back into each equation and we get that angle ACE equals 24. Since angle ACE and angle DCE are supplementary we know that they will equal 180 so we subtract 24 from 180 and get 156 as the final answer.

Hope this helps!

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D. $\frac{-5}{8}-(\frac{-1}{8}+(\frac{-1}{2}))$

Step-by-step explanation:

- Mike watches a caterpillar climbing on a tree trunk

- He writes the expression $\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})$

- We need to find the equivalent expressions to this expression

A.

∵ The expression $\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})$ has a

common sign negative in the bracket

∴ $\frac{-5}{8}-(-)(\frac{1}{8}+\frac{1}{2})$

∵ (-)(-) = (+)

∴ $\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})$

∵ The expression $\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})$ is

equivalent to the expression $\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})$

B.

∵ In the expression $\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})$ , lets

add the two terms in the bracket

$(\frac{-1}{8}-\frac{1}{2})=(\frac{-1}{8}-\frac{1(4)}{2(4)})=(\frac{-1}{8}-\frac{4}{8})=(\frac{-5}{8})$

∴ The expression = $\frac{-5}{8}-(\frac{-5}{8})$

∵ (-)(-) = (+)

∴ The expression = $\frac{-5}{8}+(\frac{5}{8})$

∴ The expression $\frac{-5}{8}+(\frac{5}{8})$ is equivalent to

the expression $\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})$

D.

∵ In the expression $\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})$ , we can

write the bracket as $(\frac{-1}{8}-\frac{1}{2})=(\frac{-1}{8}+(\frac{-1}{2}))$

because (+)(-) = (-)

∴ The expression $\frac{-5}{8}+(\frac{5}{8})$ is equivalent to

the expression $\frac{-5}{8}-(\frac{-1}{8}+(\frac{-1}{2}))$

* <em>The equivalent expressions are A , B and D</em>

8 0

4 years ago