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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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melomori [17]

Step-by-step explanation:

3x+4=22

3x=22-4

3x=18

x=18/3

x=6

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3 years ago

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A rectangle that measures 12 inches × 18 inches is cut into six identical squares by making three cuts. How many inches is the p

Valentin [98]

The perimeter of one of those six squares formed is 24 inches.

The rectangle measures 12 inches by 18 inches.

The rectangle is cut into six identical square by making three cut.

Therefore, let's find the area of the rectangle:

<h3>Area of a rectangle:</h3>

a = lw

a = 12 × 18 = 216 inches²

<h3>Area of a square:</h3>

a = l²

The square formed are 6 in numbers. Therefore,

6l² = 216

l² = 216 / 6

l = √36

l = 6 inches

The length of each square formed is 6 inches.

Therefore, the perimeter of each square formed is as follows;

4l = 4(6) = 24 inches

learn more on rectangle here: brainly.com/question/1392694?referrer=searchResults

5 0

3 years ago

A ball has a diameter of 8 inches. What is its surface area? (Use 3.14 for pie.) WILL give brainest wh ok answer correct and fas

Ulleksa [173]

4πr2
= 4×π×42
= 64π
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4 0

3 years ago

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

<em>Camera 2nd has to cover the maximum angle, i.e. </em> $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

<em>Camera 2nd has to cover the maximum angle</em>, i.e. $78.70^\circ$ .

6 0

4 years ago

What is an expression that equals 24 that includes an exponent

statuscvo [17]

5∧2(exponent of 2) - 1 =24

7 0

3 years ago