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timama [110]
3 years ago
8

Please help me thank you very much.

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0
Question 1:

Since this is an isosceles trapezoid angle J is equal to angle M

20x + 9 = 14x + 15

Subtract both sides by 14x and 9

6x = 6

Divide both sides by 6

x = 1

Plug this into 14x + 15 and 20x + 9

You get 29 degrees.

Now, multiply that by 2.

29 * 2 = 58

Subtract that from 360 to get the sum of angles K and L

360 - 58 = 302

Now, divide that by 2 since we know that angles K and L are congruent.

302 / 2 = 151

That's the measure for both angle K and L.

The first choice is your answer.

Question 2:

The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.

Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.

For angle 2, we know that x + y = 90.

Now, let's solve for z.

30z = 90

Divide both sides by 30

z = 3

Now, add them all together

x + y + z
= 90 + 3
= 93

The first choice is your answer.

Question 3:

The diagonals of a rectangle are always congruent.

6x + 16 = 49

Subtract both sides by 16

6x = 33

Now, divide both sides by 6

x = 5.5

The last choice is your answer.

Have an awesome day! :)
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Answer:

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Step-by-step explanation:

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To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

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Compute the probability that the maximum speed is at most 49 km/h as follows:

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P (X ≤ 49) = P (X < 49 - 0.50)

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(only ii right?)

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<h3>What are fractions?</h3>

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

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The total change in the water = -1 1/4 x 2 1/2

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To learn more about multiplication of fractions, please check: brainly.com/question/1114498

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