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3 years ago

In the figure, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.

Mathematics

1 answer:

Ede4ka [16]3 years ago

4 0

Answer:

mÐ4 = 30°

Step-by-step explanation:

Vertical angles are angles that are opposite to each other, thus are said to be equal.

Since,

i. Ð1 and Ð3 are vertical angles

ii. Ð2 and Ð4 are vertical angles

This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.

So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.

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Rewrite 6(10+2) using the distributive property. Then simply.

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Explanation

the distributive property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together

$a(b+c)=ab+ac$

Step 1

$6(10+2)$

apply the distributive property

$6(10+2)=(6\cdot10)+(6\cdot2)$

now, calculate ot simplify

$\begin{gathered} 6(10+2)=(6\cdot10)+(6\cdot2) \\ 6(10+2)=60+12 \\ 6(10+2)=72 \end{gathered}$

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