Look at the figure. If ∠1≡∠5, describe the relationship between lines a and b.

Mathematics

2 answers:

loris [4]2 years ago

8 0

<span>∠1 and ∠5 are correspondent angles. If they are congruents, the lines a and b must be parallels.
Answer: Third option. </span><span>The lines are Parallel</span>

neonofarm [45]2 years ago

7 0

Answer: the correct option is (C) The lines are parallel.

Step-by-step explanation: Given that ∠1 ≡ ∠5 in the figure shown.

We are to describe the relationship between the lines a and b.

From the figure, we see that

the lines a and b are cut by a transversal, where ∠1 and ∠5 are corresponding angles.

Since the corresponding angles are congruent, so the measure of the corresponding angles are equal.

i.e., m∠1 = m∠5.

Therefore, the lines a and b are parallel.

Thus, (C) is the correct option.

You might be interested in

The table show the relationship of how many pounds of cherries are needed to make a certain number of pies: pies 6 12 18 cherrie

Nataly_w [17]

M=dc/dp=4/6=4/6=2/3

c(p)=2p/3 +b using (6,4)

4=2(6)/3+b

4=4+b, b=0 so

c(p)=2p/3

(the number of cherries needed as a function of the number of pies)

3 0

3 years ago

If <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B4%7D%20%3D%20%5Cfrac%7Bb%7D%7B7%7D" id="TexFormula1" title="\frac{a}{4} =

tamaranim1 [39]

Answer:

Step-by-step explanation:

$\frac{a}{4}=\frac{b}{7}\\a=\frac{4b}{7} \\\frac{a-b}{b} =\frac{\frac{4b}{7}-b }{b} \\=\frac{4b-7b}{7b}\\ =\frac{-3b}{7b}\\ =\frac{-3}{7}$