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3 years ago

What are the measures of angles B and C?

Mathematics

2 answers:

Goryan [66]3 years ago

5 0

Answer:

Its B

Step-by-step explanation:

seropon [69]3 years ago

4 0

Answer:

B. m<B = 65°; m<C = 115°

Step-by-step explanation:

First find the value of x:

3n + 20 = 6n - 25 (opposite bangles if a parallelogram are equal)

Collect like terms

3n - 6n = -20 - 25

-3n = -45

Divide both sides by -3

n = 15

✔️Find angle B:

m<B = 3n + 20

Plug in the value of n

m<B = 3(15) + 20

m<B = 45 + 20

m<B = 65°

✔️Find angle C:

m<C = 180 - m<B (consecutive angles of a parallelogram are supplementary)

m<C = 180 - 65

m<C = 115°

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From the given inverse function, we have

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2 years ago

determine the perimeter and area of the Shaded portion of the figure below given the Circle diameter of 7 centimetre and the per

marshall27 [118]

Answer:

perimeter = 43.98cm

area = 76.96cm^2

Step-by-step explanation:

You take into account that the shaded regions are perfect circles, then, the total perimeter of the shaded regions are given by the circumference of both circles.

You calculate the circumferences, by using the following formula:

$C=2\pi r$ (1)

r: radio of the circles = (7/2)cm = 3.5cm

The total perimeter is twice the value of C in the expression (1). You replace r in (1), and calculate the total perimeter:

$C=2\pi (3.5cm)=21.99cm\\\\C_T=2C=2(21.99cm)=43.98cm$

The perimeter of the shaded region is 43.98cm.

The area of the shaded region is twice the area of one of the circle, which is given by:

$A=\pi r2=\pi (3.5cm)^2=38.48cm^2\\\\A_T=2A=2(38.48cm^2)=76.96cm^2$

The total area of the shaded region is 76.96cm^2

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4 years ago