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Katen [24]
2 years ago
15

In triangle​ abc, the measure of angle b is 32 degrees more than three times the measure of angle

Mathematics
1 answer:
Yuki888 [10]2 years ago
7 0
Define x:
Let angle a be x.
angle a = x
angle b = 3x + 32
angle c = x + 58

Find x:
Angles in a triangle add up to 180°:
x + 3x + 32 + x + 58 = 180

Combine like terms:
5x + 90 = 180

Take away 90 from both sides:
5x = 90

Divide by 5 on both sides:
x = 18°

Find the angles:
angle a = x = 18°
angle b = 3x + 32 = 3(18) + 32 = 86°
angle c = x + 58 = 18 + 58 = 76°

Answer: The angles are 18°, 86° and 76°.
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A parking lot is filled with cars and motorcycles. In all, there are 50 vehicles parked there. There is a total of 150 wheels on
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Answer:

75 motorcycles and  126 r 6 cars

Step-by-step explanation:

5 0
2 years ago
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a garden is made up of two squares and a quarter circle. what are the perimeter and area of the garden
FrozenT [24]
The complete question in the attached figure

Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]

[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft

[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft

the answer Part A) is
the perimeter of the garden is 37.85 ft

Part B) Find the area of the garden

[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]

[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²

[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²

the answer Part B) is
the Area of the garden is 69.625 ft²


8 0
3 years ago
Give your answer in correct number of significant figures: (4.0 x 102 ) (0.04) / 7.2​
inysia [295]

Step-by-step explanation:

= (4)(102)

= 408 (408) (0.04) = 16.32 16.32/7.2

= 2.26666667

4 0
2 years ago
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Simplify.<br> N4 x N7 over n5
Alinara [238K]

Answer:

n^6.

Step-by-step explanation:

n^4 * \frac{n^7}{n^5}

= n^4 * n^{7 - 5}

= n^4 * n^2

= n^{4 + 2}

= n^6.

Hope this helps!

8 0
3 years ago
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Point E is located at (2, −3), and point F is located at (−2, −1). Find the point that is 3 over 4 the distance from point E to
Alisiya [41]
Your answer will be -2+2+4= 4
-3-1+4=0
so it will be 4,0
6 0
3 years ago
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