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weeeeeb
4 days ago
6

In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows

they are congruent.

Mathematics
1 answer:
lawyer [9.2K]4 days ago
5 0
We know that case a) involves alternate exterior angles: m∠2=m∠7 by alternate exterior angles, and m∠1=m∠8 also by alternate exterior angles. case b) features alternate interior angles: m∠3=m∠6 by alternate interior angles and m∠5=m∠4 by alternate interior angles. case c) includes corresponding angles: m∠1=m∠5 corresponds by corresponding angles, m∠3=m∠7 holds true by corresponding angles, m∠2=m∠6 is from corresponding angles, and m∠4=m∠8 is through corresponding angles. case d) demonstrates vertical angles: m∠1=m∠4 by vertical angles, m∠2=m∠3 by vertical angles, m∠5=m∠8 by vertical angles, and m∠6=m∠7 by vertical angles. The answer is illustrated in the attached figure.
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Answer:

174 IS THE ANSWER

Step-by-step explanation:

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7 0
10 days ago
Find the value of x in the isosceles triangle shown below.
Leona [9260]

Solution:

x=8

Detailed explanation:

This isosceles triangle consists of two right triangles with sides equal to 8,\sqrt{80}, and y

Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y

Hence, x=2(4)=8

8 0
10 days ago
Read 2 more answers
Which equation represents a proportional relationship with a constant of proportionality of 14? y = x + 14 y = 14x 14y = x y = x
tester [8808]
The equation that demonstrates a proportional relationship, maintaining a constant of proportionality equal to 14, is: Here,  and are proportional with a constant of proportionality of 14.
6 0
8 days ago
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For the month of June, Mae Green budgeted the following amounts: $180 for food, $475 for rent, $15 for transportation, $50 for i
tester [8808]
Question 1

Total budget sums up to 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990.
Actual expenditure amounts to 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5.

Mae Green surpassed her designated budget.

---------------------------------------------------------------------------------------------------------

Question 2

Eleanor:
Earned = 380.48
Spent = 16.50

Peter:
Earned = 120 + 13.65 + 100 = 233.65.

Combined total income = 233.65 + 380.48 - 16.50 = 597.63.

-------------------------------------------------------------------------------------------------------------

Question 3

Aggregate expenditure = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55.

-------------------------------------------------------------------------------------------------------------

Question 4

Marie's updated balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50.

------------------------------------------------------------------------------------------------------------

Question 5

[235/825] × 100 = 28.48%
4 1
21 day ago
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The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ
tester [8808]

x = lowest height

<x+25 highest height

x=55

3 0
1 month ago
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