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ser-zykov [4K]
3 years ago
10

In this figure, AB || CD and CD || FG

Mathematics
1 answer:
Len [333]3 years ago
5 0

2.) same-side interior angles

4.) supplementary angles

Step-by-step explanation:

Same-side interior angles are formed when a transversal line intersects two or more parallel lines. In this case,Line FC can be taken as a transversal line cuting parallel lines CD and FG thus making angles ACD and GFC same side interior angles.

Consecutive angles ACD and GFC are supplementary.This means they add up to 180°.

Learn More

Properties of angles in a parallelogram :brainly.com/question/11611093

Keywords: describe, angle, relationship, select.

#LearnwithBrainly

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adell [148]

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Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

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3 years ago
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3 years ago
What additional information will allow you to prove the triangles congruent by the HL Theorem?
marissa [1.9K]

Answer:

The correct option is 3.

Step-by-step explanation:

The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

From the given figure it is noticed that triangle ABC and triangle EDC. In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.

To use HL hypotenuse and one leg of triangles must be equal.

AB=DE                             (hypotenuse)

AC=DC                             (leg)

BC=EC                              (leg)

Therefore the additional information  AC=DC  will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.

8 0
4 years ago
Read 2 more answers
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horsena [70]

Answer:

x = (-5/2)

Step-by-step explanation:

4 - (2x + 4) = 5

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- (2x + 4) = 1

divide both sides by -1

2x + 4 = -1

-4 from both sides

2x = -5

divide both sides by 2

x = (-5/2)

4 0
4 years ago
Read 2 more answers
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