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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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2 years ago

Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She foun

adelina 88 [10]

Answer:

Silver car

Step-by-step explanation:

It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.

so let's go with 10 gallons. pretty broad number right?

so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???

then we do that to 384 (the miles for the blue car)

(384/12)*10=320

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(14/14)*10=10

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So which is bigger, 320 or 360?

360 is bigger, meaning it has better gas mileage.

5 0

2 years ago

Show Your Work! <br> Will Mark Brainliest!