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schepotkina [342]
3 years ago
11

Please answer asap. No links

Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer:

0.17

Step-by-step explanation:

First, we can easily calculate that the area of the rectangle is 7 * 5 = 35

Next, to find the probability of choosing a point in the triangle, we need to find the area of the triangle compared to the area of the rectangle. Notice that the square has nothing to do with the solution because we are only interested in finding the probability for the triangle!

Since the area of the triangle is base * height / 2 or  4 * 3/2 = 6, the probability is 6/35. Plugging this value in the calculator gives us 0.17

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Let s represent the measure of the second angle.

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The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).

The sum of these angles is 180°, so we can represent the sum as

... (s-15) + s + (45+s/2) = 180

Collecting terms, we have

... 2.5s +30 = 180

... 2.5s = 150 . . . . . . subtract 30

... s = 150/2.5 = 60 . . . . divide by the coefficient of s

The first angle is 60-15 = 45.

The second angle is 60.

The third angle is 45+60/2 = 75.

_____

<u>Check</u>

The sum of the three angles is 45 +60 +75 = 180.

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