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natulia [17]
3 years ago
7

Segment & Angle Addition Test

Mathematics
1 answer:
Westkost [7]3 years ago
5 0
Hope it is correct!!

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Can anyone help me w/ math hw
Artemon [7]
I don't see the promblem
3 0
3 years ago
Can someone please answer. There is one problem. There's s picture. Thank you!
Pepsi [2]
The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get 180-(57+90)=33\textdegree.

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

\frac{\sin(A)}{a} =  \frac{\sin(B)}{b}

For this problem, we'll let the height of the hot air balloon be a=15 and its respective opposite angle be A=33\textdegree, and let the missing x-distance be b, with its respective opposite angle B=57\textdegree. Note, we're solving for b.

\frac{\sin(33)}{15} =  \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
8 0
3 years ago
Maria is making a scale drawing of her basement, which is 12 yards long. if she let's 1/2 inch represent 1 yard how many inches
andrezito [222]

Answer:

the correct answer would be 6 inches.

Step-by-step explanation:

12*.5=6


7 0
3 years ago
Need help with both questions
Svetradugi [14.3K]

The value of the variable 'x' in the first case and the second case will be 9° and 1.

<h3>What is a parallelogram?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.

In part 61, the equation is given as,

100° + 9x - 1° = 180°

Simplify the equation, then we have

9x + 99° = 180°

9x = 81°

x = 9°

In part 62, the equation is given as,

22x - 1 = 21

Simplify the equation, then we have

22x - 1 = 21

22x = 22

x = 1

The value of the variable 'x' in the first case and the second case will be 9° and 1.

More about the parallelogram link is given below.

brainly.com/question/1563728

#SPJ1

4 0
1 year ago
Round 21,000 to the nearest 10,000
kolezko [41]
The answer will be 20,000
5 0
3 years ago
Read 2 more answers
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