The following parallelogram is not drawn to scale.Find the unknown angle:
142⁰
a
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Answers

Answer 1

Answer:

The twο adjacent angles in the parallelοgram are 142 degrees and 38 degrees, and the οppοsite angles are alsο equal tο 142 degrees and 38 degrees.

What are the supplementary angles?

Supplementary angles are thοse angles that sum up tο 180 degrees. Fοr example, angle 130° and angle 50° are supplementary angles because the sum οf 130° and 50° is equal tο 180°.

In a parallelοgram, οppοsite angles are equal and supplementary, which means they add up tο 180 degrees. Therefοre, the οppοsite angle tο the given angle οf 142 degrees is alsο supplementary tο it and equal tο0

180 - 142 = 38 degrees.

Since οppοsite sides οf a parallelοgram are parallel and cοngruent, the adjacent angles are alsο cοngruent. Therefοre, the οther angle adjacent tο the given angle οf 142 degrees is alsο equal tο 142 degrees.

Hence, the twο adjacent angles in the parallelοgram are 142 degrees and 38 degrees, and the οppοsite angles are alsο equal tο 142 degrees and 38 degrees.

To learn more about supplementary angles visit:

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Complete question:

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Yvette is trying to calculate the distance between point C(1, 2) and point D(7, 10). Which of the following expressions will she use? square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared square root of the quantity of 10 minus 1 all squared plus 7 minus 2 all squared square root of the quantity of 10 minus 7 all squared plus 2 minus 1 all squared square root of the quantity of 7 minus 10 all squared plus 1 minus 2 all squared

Answers

So this can be solve using the distance formula: D = sqrt [ (x2 – x1)^2 + (y2 – y1)^2] So the expression she should use is: D = sqrt [ (7 – 1)^2 + (10 – 2)^2] Then the answer would be: D = sqrt [ (6)^2 + (8)^2] D = 10

Answer:

square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared

Step-by-step explanation:

Solve 5x − 6y = −38
3x + 4y = 0

Answers

5x - 6y = -38 . . . . . (1)
3x + 4y = 0 . . . . . (2)

(1) x 3 => 15x - 18y = -114 . . . . . (3)
(2) x 5 => 15x + 20y = 0 . . . . . . (4)

(3) - (4) => -38y = -114 => y = -114/-38 = 3

From (2), 3x + 4(3) = 0 => 3x + 12 = 0 => 3x = -12 => x = -12/3 = -4

There are 25 gold cards and 25 silver cards in a deck. The gold cards are number 1,3,5,.....49 and the silver cards are numbered 2,4,6,.....50. The cards are thoroughly shuffled and one card is randomly selected.A.) Find the probability of selecting a gold card or a card with a multiple of 10 on it.
B.) Find the probability of selecting a silver card or a card with a multiple of 7 on it.

Answers

A. There are 25 gold cards, and 5 silver cards with a multiple of 10, so the probability is (25+5)/50=0.6.

B. There are 25 silver cards and 4 gold cards with a multiple of 7 (7, 21, 35, and 49), so the probability is (25+4)/50=0.58.

Solutions

There are 25 gold cards and 25 silver cards in a deck. The gold cards are number 1,3,5,.....49 and the silver cards are numbered 2,4,6,.....50.

A. The probability would be (25+5)/50=0.6.

B.we know that there are 25 silver cards and 4 gold cards with a multiple of 7, so the probability would be (25+4)/50=0.58.

Isaac has had the same 2 credit cards for 10 years. He has a total credit limit of $12,000. He never makes late payments, and his student loans are almost paid off.Which is most likely to occur?

A.
He will be approved for a car loan with a low interest rate.

B.
His application for a new credit card will be denied.

C.
He will pay a high rate for a mortgage.

D.
He will have a low credit score.