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Delicious77 [7]
3 years ago
12

Complete each congruence statement by naming the corresponding angle or side.

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

Angle G

Step-by-step explanation:

Triangles are named in order, so triangle LMN means that Angle M is in the middle of the sequence.  Therefore, it would be cogruent to angle G as in triangle HGI, G is the in the middle.

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Two angles are supplementary. The measure of one angle is 10° more than three times the other. Find the measure of each angle
Marizza181 [45]

The measure of angles are 137.5 degrees and 42.5 degrees

Solution:

Given that two angles are supplementary

Let "a" be the one of supplementary angle

Let "b" be the other supplementary angle

Given that measure of one angle is 10 degree more than three times the other

measure of one angle = 10 + three times the other angle

a = 10 + 3b ---- eqn 1

We know that,

Two Angles are Supplementary when they add up to 180 degrees.

a + b = 180 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>

Substitute eqn 1 in eqn 2

10 + 3b + b = 180

10 + 4b = 180

4b = 170

<h3>b = 42.5</h3>

From eqn 1,

a = 10 + 3(42.5)

a = 10 + 127.5 = 137.5

<h3>a = 137.5</h3>

Thus the measure of angles are 137.5 degrees and 42.5 degrees

7 0
4 years ago
A machine can stamp 40 envelopes in 8 minutes. How many of these machines, working simultaneously, are required or needed to sta
FinnZ [79.3K]
You would need 24 machines
Because 1 machine makes 5 envelopes per minute so simultaneously 24 machines can make 120 envelopes per minute.
7 0
3 years ago
220 million drive cars in the US. If 44 million consider buying a hybrid, what percentage of US drivers are considering buying a
aev [14]

Answer: 1/5

Step-by-step explanation: First we start off with 44/220. Then we find the GCF which would be 44. Then we divide both sides by this number to get 1/5.

Hope this helped.

4 0
3 years ago
A rectangle has a perimeter of 84 miles and a height of 26 miles .what is the length of the base?
ExtremeBDS [4]

Answer:

16 miles

Step-by-step explanation:

The height is 26 miles. Multiply that by 2 which gets 52 and then subtract that from 84. That gives you 32 which means the sum of the lengths is 32/2 which is 16 miles

6 0
4 years ago
What is the surface area of a cone with a radius of 3 cm and a length of 8 cm
Vlada [557]

Answer: surface area = 108.8 sq. cm

Step-by-step explanation:

A=πr(r+√h2+r2)

5 0
3 years ago
Read 2 more answers
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