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2 years ago

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

Mathematics

1 answer:

Ede4ka [16]2 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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PLEASE ANSWER WITH ALL THE MATH

Colt1911 [192]

9514 1404 393

Answer:

Jacob: 4
his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

currently:

M = 3 +9J

in 11 years:

M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

9J +14 = 3J +38 . . . . . . simplify

6J + 24 . . . . . . . . . . subtract 3J+14

J = 4 . . . . . . . . . . divide by 6

M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

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3 years ago

Pythagorean Theorem help please!

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3 years ago

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Answer:

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