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STatiana [176]
2 years ago
8

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
gogolik [260]2 years ago
3 0
Vertical angles are congruent, so their measures are equal.
Set the angle measures equal and solve for x.

2x + 2 = 3x - 52

-x = -54

x = 54

___________
|                      |
|        54         |
|__________|

The answer is inside a box.
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Find the area of the shaded region round to the nearest tenth
Alenkinab [10]

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right).

Using the formula A=\frac{1}{2} ab \sin C, we get the area of the triangle is \frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}).

So, the area of the shaded sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}

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1 year ago
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Answer:

The answer is 3

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Find the future value of the principal.<br>help me pls :(​
Vitek1552 [10]

Answer:

54,000

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3 0
2 years ago
In the accompanying diagram. altitude CD is
Bogdan [553]

Answer:  √117

Step-by-step explanation:

Since no diagram present, am assuming hypotenuse AB and right angle C.  Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.

a^2 + b^2 = 22^2 (Pythagorean)

Using Pythag on two smaller triangles,

x^2 + 13^2 = a^2

x^2 + 9^2 = b^2

Substituting in first equation,

x^2 + 13^2 + x^2 + 9^2 = 22^2

x^2 = 117, so x = √117

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3 years ago
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