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agasfer [191]
4 years ago
12

1. Two triangles have the following pairs of congruent sides: BD = FJ, DG = JM, and

Mathematics
1 answer:
allsm [11]4 years ago
6 0

Answer:

BDG≅FJM

Step-by-step explanation:

we know that

If two triangles are congruent, then their corresponding angles and corresponding sides are congruent

so

In this problem we have that

BD≅FJ ----> BD and FJ are corresponding sides

DG≅JM ---> DG and JM are corresponding sides

GB≅MF ---> GB and MF are corresponding sides

∠B≅∠F ----> ∠B and ∠F are corresponding angles

∠D≅∠J ---> ∠D and ∠J are corresponding angles

∠G≅∠M ---> ∠G and ∠M are corresponding angles

therefore

BDG≅FJM

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If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.
nexus9112 [7]

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

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6 0
2 years ago
Bradley completed 3/5 of his homework. What percent of his homework does he still need to complete?
muminat
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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