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3 years ago

If the measure of angle 5 is 98 degrees, what is the measure of angle 8 of angle 7 of angle of angle 6

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

Answer:

angle 8= 82 degrees

angle 7 = 98

angle 6 = 82

Step-by-step explanation:

5 and 7 are congruent because vertical angles.

5 and 8 are supplementary.

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26. The two triangles below are similar. What is the perimeter of triangle XYZ?

AveGali [126]

Answer:

Step-by-step explanation:

6 ÷ 15 = 0.4

X to Y = 20 × 0.4 = 8

Y to Z = 25 × 0.4 = 10

Perimeter: a + b + c

6 + 8 + 10 = 24

Even I am surprised by what I wrote. Hopefully, it is right and helps you ^-^ Please comment if you have any questions.

-Tay did this

4 0

2 years ago

If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures

AysviL [449]

Answer:

Part a) $ML=15\ units$

Part b) $HM=30\ units$

Part c) $JM=21\ units$

Part d) $MI=42\ units$

Part e) $GM=40\ units$

Part f) $MK=20\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A centroid of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

$HL=45\ units$

we know that

$ML=\frac{1}{3}HL$

substitute the given value

$ML=\frac{1}{3}(45)$

$ML=15\ units$

Part b) Find HM

we have

$HL=45\ units$

we know that

$HM=\frac{2}{3}HL$

substitute the given value

$HM=\frac{2}{3}(45)$

$HM=30\ units$

Part c) Find JM

we have

$JI=63\ units$

we know that

$JM=\frac{1}{3}JI$

substitute the given value

$JM=\frac{1}{3}(63)$

$JM=21\ units$

Part d) Find MI

we have

$JI=63\ units$

we know that

$MI=\frac{2}{3}JI$

substitute the given value

$MI=\frac{2}{3}(63)$

$MI=42\ units$

Part e) Find GM

we have

$KG=60\ units$

we know that

$GM=\frac{2}{3}KG$

substitute the given value

$GM=\frac{2}{3}(60)$

$GM=40\ units$

Part f) Find MK

we have

$KG=60\ units$

we know that

$MK=\frac{1}{3}KG$

substitute the given value

$MK=\frac{1}{3}(60)$

$MK=20\ units$

6 0

3 years ago

Original price of a sofa: $620.00 Discount: 25%, Selling Price?

Aleks [24]

Answer:

x=155

Step-by-step explanation:

I hope the pictures are clear and you get the concept!

3 0

3 years ago

Jose purchased 4/9 pound of peanut and 7/11 pounds of raisins find the total weight of his purchase

azamat

Answer:

The total weight of his purchase is 1.08 pounds

Step-by-step explanation:

To find the total weight of his purchase, we sum the weight of each of his purchases.

He purchased:

4/9 pound of peanut.

7/11 pounds of raisins

Total:

The least common multiple between 9 and 11 is 99.

Then

$\frac{4}{9} + \frac{7}{11} = \frac{11*4 + 9*7}{99} = \frac{107}{99} = 1.08$

The total weight of his purchase is 1.08 pounds

8 0

2 years ago

In 1979, there were 2.4 million licensed registered nurses in a country. This number increased to 3.6 million in 2012. What is t

Dennis_Churaev [7]

Answer:

It is a 50% increase

Step-by-step explanation:

2.4 million /2 = 1.2 million

2.4m + 1.2m = 3.6m

50% of 2.4 is 1.2

it is a +50% increase to get from 2.4 to 3.6

6 0

3 years ago

If the measure of angle 5 is 98 degrees, what is the measure of angle 8 of angle 7 of angle of angle 6​

If the measure of angle 5 is 98 degrees, what is the measure of angle 8 of angle 7 of angle of angle 6