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givi [52]
2 years ago
6

1. Given: Angle 2 is 65 degrees. Please note that L || M. (a) What is the angle measurement of Angle 4? Explain the angle relati

onship used and show your work. (b) What is the angle measurement of Angle 7? Explain the angle relationship used and show your work. (c) What is the angle measurement of Angle 3? Explain the angle relationship used and show your work. Answer: Part A) Part B) Part C) show your work
Mathematics
1 answer:
Natali5045456 [20]2 years ago
4 0

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

From the diagram:

∠2 + ∠4 = 180° (sum of angles in a straight line)

∠4 + 65 = 180

∠4 = 115°

b) ∠2 = ∠3 (vertically opposite angles)

∠3 = 65°

c) ∠3 = ∠7 (corresponding angles)

∠7 = 65°

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

Find out more on Equation at: brainly.com/question/18831322

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William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

Factors of 60 : 1,2,3,4,5,6,10,12,15,20,30,60

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
3 years ago
Tony rounded each of the numbers 1, 143 and 1, 149
mojhsa [17]

Answer:

last one.................

3 0
3 years ago
Read 2 more answers
Solve for x<br><br> 3 = x/2<br><br> X =
enot [183]

Answer:

6

Step-by-step explanation:

3=x/2

Multiply both sides by 2

3 0
2 years ago
At the 6th grade school dance there are 132 boys, 88 girls and 14 adults. What is the ratio of boys to girls
spayn [35]
The adult's genders aren't specified so that doesn't matter.

There are 132 boys for every 88 girls

(132:88) 

To simplify the ratio, divide both numbers by the GFC (Divide both sides by 44)

3:2 

There are 3 boys for every 2 girls
5 0
3 years ago
Match the volume of a prism to the correct dimensions of a rectangular prism
Zina [86]

Answer:

3 ft, 3ft, 5ft => 45 cubic feet

6 ft, 2 ft, 4 ft => 48 cubic feet

7 ft, 2 ft, 2 ft => 28 cubic feet

6 ft, 5 ft, 2 ft => 60 cubic feet

Step-by-step explanation:

Recall: formula for volume of a rectangular prism is given as, V = L × W × H

✔️Volume of rectangular prism with the following dimensions:

L = 3 ft

W = 3 ft

H = 5 ft

V = 3 × 3 × 5

V = 45 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 6 ft

W = 2 ft

H = 4 ft

V = 6 × 2 × 4

V = 48 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 7 ft

W = 2 ft

H = 2 ft

V = 7 × 2 × 2

V = 28 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 6 ft

W = 5 ft

H = 2 ft

V = 6 × 5 × 2

V = 60 cubic feet

6 0
3 years ago
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