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2 years ago

Parallelograms don’t know how to solve and teacher won’t show me need help

Mathematics

1 answer:

babymother [125]2 years ago

4 0

9514 1404 393

Answer:

congruent
x = 19
∠4 = 87°

Step-by-step explanation:

The marked angles are all "interior" -- between the parallel lines. Ones on the same side of the transversal (t) are called "same-side" or "consecutive" interior angles. Angles 1 and 4, 2 and 3 are pairs of consecutive interior angles.

Angles on opposite sides of the transversal are called "alternate" interior angles. Pairs 1 and 3, and 2 and 4 are pairs of alternate interior angles.

Alternate interior angles are congruent. Consecutive interior angles are supplementary (as are the angles of any linear pair).

1) Angles ∠1 and ∠3 are congruent.

2) Using the above fact, we can set the expressions for the angle measures equal to solve for x.

5x -2 = 2x +55

5x = 2x +57 . . . . . add 2

3x = 57 . . . . . . . . . subtract 2x

x = 19 . . . . . . . . . . divide by 3

3) Angle 1 is ...

∠1 = 5x -2 = 5(19) -2 = 93

Angle 4 is its supplement.

∠4 = 180 -∠1 = 180 -93

∠4 = 87 . . . degrees

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ludmilkaskok [199]

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Answer:

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Step-by-step Explanation:

The given expression

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And we have to solve for x₁

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Lets solve for x₁.

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Question # 23 Solution

Answer:

$n= \frac{bx}{-b + x}$

Step-by-step Explanation:

The given expression

$\frac{nx}{b}-x=x$

And we have to solve for n

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$\frac{n(-b + x)}{-b + x}= \frac{bx}{-b + x}$

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Therefore, $n= \frac{bx}{-b + x}$

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