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Novay_Z [31]
3 years ago
9

Parallelogram RSTU is shown.

Mathematics
2 answers:
VMariaS [17]3 years ago
8 0

Answer:

  • alternate interior angles are congruent
  • corresponding parts of congruent triangles are congruent
  • definition of a parallelogram

Step-by-step explanation:

<u>Step Statement                                                  ⇒  Reason</u>

1    RSTU is a parallelogram                              ⇒  Given

2   Side RS || Side TU and Side RU || Side TS  ⇒ <u>definition of a parallelogram </u>

3    ∠RSU≅∠TUS and ∠RUS≅∠TSU                 ⇒ <u>alternate interior angles are congruent</u>

4     Side SU ≅ Side US                                      ⇒ reflexive property

5    ΔRSU≅ΔTUS                                                 ⇒ ASA postulate

6    Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ <u>corresponding parts of congruent triangles are congruent</u>

mixas84 [53]3 years ago
5 0

Answer:

-opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation:

I just did the test

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Step-by-step explanation:

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4 0
2 years ago
Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w
earnstyle [38]

Answer:

Answer:  13.4 m

Step-by-step explanation:

For small angles, x, in radians,

tan(x) ≈ sin(x) = x

Use this to create an approximate diagram for the problem as shown in the figure below.

The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.

The extend length is 3 km + 12 cm, which is 

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h² = 1500.06² - 1500² = 180.004

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Read more on Brainly.com - brainly.com/question/5596356#readmore

6 0
3 years ago
HELP ME PLEASE I REALLY NEED THE HELP​
dedylja [7]

Answer:

Answer = 126 square inches

Step-by-step explanation:

Square area formula is Area = s^2    (replace the s with the side length)

Square area -->  Area = 4^2       Area = 16in

Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)

Parallelogram area --> Area = 3.5 * 10     Area = 35

Rectangle area formula is Area = w * h    (replace width and height)

Rectangle area --> Area = 12.5 * 6    Area = 75

Then add them all up  75 + 35 + 16 = 126 square inches

3 0
3 years ago
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