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GenaCL600 [577]
3 years ago
10

The measures of the angles of ABC are given by the expressions in the table A( 6X - 1 ) ° B 20° C ( x + 14 ) ° what are the meas

ures of angles A and C ? Enter your answers in the boxes mA = mC = ​
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. This means that in triangle ABC,

Angle A + angle B + angle C = 180

Therefore,

6x - 1 + 20 + x + 14 = 180

6x + x + 20 + 14 - 1 = 180

7x + 33 = 180

Subtracting 33 from the left hand side and the right hand side of the equation, it becomes

7x + 33 - 33 = 180 - 33

7x = 147

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7x/7 = 147/7

x = 21

Therefore

Angle A = 6x - 1 = 6 × 21 - 1

Angle A = 125 degrees

Angle C = x + 14 = 21 + 14

Angle C = 35 degrees.

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A cylinder has a volume of 36 cubic inches. What is the volume of a cone if it has the same radius and height as the cylinder?
kicyunya [14]

Answer:

12 cubic inches

Step-by-step explanation:

volume of a cylinder= pi*r2*height

but we are given 36 as cylinder volume.

Therefore , 36 = pi*r2* height

r2*height = 36/pi, let call this equation 1

volume of a cone = pi*r2*height/3;

but from equation 1, r2*height =36/pi, substituting this value in volume of cone.

volume of cone= pi*(36/pi)/3 = 12 cubic inches

5 0
3 years ago
10x + y = -x2 + 2<br> real solution(s)
amm1812
I think the answer is 12x+y=2. Hopefully I’m right?
3 0
3 years ago
1.
mote1985 [20]
From the given data points, we can say that the second term is the square of the first term. Also, the third term is the square of the second term. This pattern goes on up to the last term given which is the square of the term prior. To predict the growth over a period of 10 seconds, we just have to square the growth over a period of 9 seconds.
3 0
3 years ago
Find the solution of the system of equations. x-3y= -13<br> 2x+15y=16
Mandarinka [93]

ANSWER: The solution to the system of equations given is: x= -7, y=2

Point Form: (-7,2)

7 0
2 years ago
HELP PLEASE!!!
ddd [48]
A^2 + b^2 = c^2.....a and b are the legs and c is the hypotenuse
41^2 + 40^2 = c^2
1681 + 1600 = c^2
3281 = c^2...take sqrt of both sides, eliminating the ^2
sqrt 3281 = c
57.28 ...rounds to 57 = c

so the 3 sides of ur triangle are 57,41,and 40. The perimeter is all three sides added together. So the perimeter is : 57 + 40 + 41 = 138 ft <==
8 0
3 years ago
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