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Bas_tet [7]
3 years ago
15

What are the measures of angles B and C

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

In a parallelogram opposite angles are equivalent so B=D and A=C.

If B=D, 3n + 20 = 6n - 25; add 25 to both sides

3n + 45 = 6n; subtract 3n from both sides

45 = 3n; divide both sides by 3

15 = n; substitute 15 for n to find the value of angle B;

3(15) + 20 = B

45 + 20 = B

65° = B

Angles C and B are supplementary, which means that when added they equal 180°

so 180 = 65 + C

115 = C

Your answer is choice B

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The diameter of a circle is 5 inches. What is its circumference?
Natali5045456 [20]

Answer:

C≈15.71in

Step-by-step explanation:

Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches.

Hope this helps!

5 0
2 years ago
What is the answer for 2a x -a?
Verizon [17]

Answer:

-2a²

Step-by-step explanation:

The question is  2a × -a

This means 2a(-a)

= -2×(a×a)

=-2(a²)

=-2a²

6 0
2 years ago
At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the
Dmitry [639]

Answer:

2.5\ m/s^2

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

Force(F)=Mass(m)\times Acceleration(a)

Initially:

Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m

At the end of the road:

Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma

Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2

8 0
2 years ago
find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)
lbvjy [14]

Answer:

y = -x - 8

Step-by-step explanation:

Midpoint of the line:

x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6

y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2

so midpoint is (-6,-2)

Slope of the line: Slope m = (y2-y1)/(x2-x1)

m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of the perpendicular line is -1/1 is -1

y = mx + b

y = -x + b

Using (-6,-2)

-2 = -(-6) + b

-2 = 6 + b

b = -8

so y = -x - 8

6 0
2 years ago
Read 2 more answers
What is 8546 divided by 2 [8546/2]
kvv77 [185]
8546/2 = 4273

Hope this helps!

3 0
3 years ago
Read 2 more answers
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