What is the value of x? A. 142 B. 152 C. 76 D. 71

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

8 0

Answer:

x has a value of 71, making D the correct answer.

Step-by-step explanation:

Because this is an isosceles triangle, we know that the bottom two angles are equal. We also know that the sum of the angles inside a triangle will always come to 180°. With that in mind, we can simply subtract 38° from 180° and divide by two to get the correct answer.

$x = (180 - 38) / 2\\= 142 / 2\\= 71$

So the correct answer is D, 71 degrees.

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Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.

ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

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Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

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Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

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Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

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Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

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Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>

7 0

3 years ago

What is the slope of the line that passes through the points (2, 3) and (8, 6)

nadezda [96]

Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is $\frac{1}{2}$ .

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is $\frac{3}{6}$ or $\frac{1}{2}$ .