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Dominik [7]
3 years ago
10

21) Find x. Show your work.

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer:

x = 21

Step-by-step explanation:

Givens:

Every triangle's interior angles add up to 180°

The triangle has a right angle.

The triangle is isosceles (two equal sides and two equal angles)

Let's make an equation with the information we have already.

2 × (2x + 3) + 90 = 180

4x + 6 + 90         = 180

4x + 96                = 180

4x                         = 84

x                           = 21

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Alenkinab [10]

1/2 × 5 2/3 × 3 = 5

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and 5 × 1 is 5.

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2 years ago
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Brums [2.3K]

Answer: sqrt(2)/2  which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

------------

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

6 0
3 years ago
Someone help with this please
r-ruslan [8.4K]
The Answer is B. I hope this helped.
6 0
3 years ago
Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
Archy [21]

Answer:

20% of the money was saved from January.

Here is the way to find percentage.

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then:  divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

<u>Step-by-step explanation:</u>


5 0
3 years ago
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A physician's assistant measures a child and finds his height is 41 in.
Ludmilka [50]

Answer:

He grew 4 inches since his last visit.

Step-by-step explanation:

41 - 38 = 4

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3 years ago
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