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olchik [2.2K]
3 years ago
13

Find the value of x. The diagram is not to scale.

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

x=45

Step-by-step explanation:

The angle sum of a pentagon is 540°

Using this and the angles we know, we can create an equation.

90+148+112+x+3x+10=540 \\ \\ 360+4x=540 \\ \\ 4x=180 \\ \\ x=45

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The lengths of the sides of a triangle are 7, 24 and 25. Classify the triangle as acute, right, or obtuse. Choose the correct ty
Gennadij [26K]

Answer:

Right angled triangle

Step-by-step explanation:

This is because the square root of the sum of the squares of 7 and 24 is 25 ( Pythagoras theorem) . This only works for right angled triangle.

7 0
3 years ago
Andrew needs a ladder to hang hoilday lights. His house is 24ft tall and he has a flower bef that extends 4 ft out from the side
elena-14-01-66 [18.8K]

Answer: 24.33\ ft

Step-by-step explanation:

You need to draw a Right triangle as the one attached, where "x" is the lenght of a ladder Andrew will need to reach the top and be out of the flower bed.

You must apply the Pythagorean Theorem. This is:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.

If you solve for "a", you get:

a=\sqrt{b^2+c^2}

In this case, you can identify in the figure that:

a=x\\\\b=24\ ft\\\\c=4\ ft

Therefore, knowing those values, you can substitute them into  a=\sqrt{b^2+c^2} and then you must evaluate, in order to find the value of "x".

This is:

x=\sqrt{(24\ ft)^2+(4\ ft)^2}\\\\x=24.33 ft

5 0
3 years ago
Alice purchased paint in a bucket with a radius of 9 in. and a height of 9.5 in. The paint cost $0.09 per in3.
Vanyuwa [196]
<span>217.46 is the answer hoped I helped</span>
4 0
3 years ago
This jewelry box has the shape of a regular
Harman [31]

Answer:

the interior angles of a pentagon = 540

540/5 = 108

angles on a line add up to 180

180- 108 = 72

72/2 = 36

X = 36°

5 0
2 years ago
F(x) = x2. What is g(x)?
Vinil7 [7]
B. Is the correct answer
6 0
3 years ago
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