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Ymorist [56]
3 years ago
12

determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel

.​

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

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gladu [14]

The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).

<h3>How to determine the fence's dimension?</h3>

Mathematically, the perimeter of a rectangle can be calculated by using this formula;

P = 2(L + W)

<u>Where:</u>

  • P is the perimeter of a rectangle.
  • L is the length of a rectangle.
  • W is the width of a rectangle.

Since the length of this fence is 5 more than 3 times the width, we have:

L = 3W + 5

Substituting the given parameters into the formula, we have;

200 = 2(3W + 5 + W)

200 = 2(4W + 5)

200 = 8W + 10

8W = 190

W = 190/8

W = 23.75 feet.

For the length, we have:

L = 3W + 5

L = 3(23.75) + 5

L = 76.25 feet.

Read more on perimeter of a rectangle here: brainly.com/question/17107023

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5 0
2 years ago
The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?
Sergeeva-Olga [200]

Answer:

The wide of river is 50\ ft

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

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EG=EF

EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft

8 0
3 years ago
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare
Free_Kalibri [48]

Answer:

D) 12 loaves

Step-by-step explanation:

5 0
3 years ago
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Fittoniya [83]
  • Answer:

<em>C. 15 feet</em>

  • Step-by-step explanation:

<em>Area formula</em>

<em>A = l²</em>

<em>225 = l²</em>

<em>l = √225</em>

<em>l = √15²</em>

<em>l = 15 feet</em>

7 0
3 years ago
Please help me with this math problem
andrey2020 [161]

Answer:

Step-by-step explanation:

How to solve your problem

3

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3 years ago
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