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Nastasia [14]
3 years ago
7

Angle (<) E and <F are vertical angles. If m<E = 17x+1 and m<F =20x-14, find m<F.

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.

m∠E = m∠F

17x + 1 = 20x - 14

Subtract 20x from both sides.

-3x + 1 = -14

Subtract 1 from both sides.

-3x = -15

Divide both sides by -3.

x = 5

Substitute 5 for x in m∠F (20x - 14).

20(5) - 14 = 86

m∠F = 86°

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Answer:

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7 0
3 years ago
Can you help me with number 45 please ?
Katyanochek1 [597]

Answer:

h = 84

f = 132

g= 28

Step-by-step explanation:

h = 180 - 48 - 48 = 84

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6 0
3 years ago
Pls help for this question! no wrong answers pls
ankoles [38]

Answer:

41.29 cm²

Step-by-step explanation:

From the question,

Area of the shaded portion = Area of the circle - area of the square.

A' = πr²-L²...… Equation 1

Where A' = Area of the shade portion, r = radius of the circle, L = length of the square, π = pie

Given: r = 4 cm, L = 3 cm

Constant: π = 22/7.

Substitute these values into equation 1

A' = [(22/7)×4²]-3²

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Hence the area of the shaded portion is 41.29 cm²

8 0
3 years ago
1.
Bad White [126]

first polygon

ext. angle=180°-120°

=60°

ext \: ang =  \frac{360}{n}

n=360°/60°

n=6

second polygon

n=2(6)=12

ext. ang= 360°/n = 360°/12° = 30°

int. ang = 180°-30°= 150°

answer is C

6 0
4 years ago
A woman is 59 and one twelfth inches tall and her son is 57 and five ninths inches tall. How much taller is the woman​?
mihalych1998 [28]

Answer:

1 and 19/36 inches

Step-by-step explanation:

All you have to do is subtract the woman's height by her son's height.

59 and 1/12 - 57 and 5/9 is 1 19/36

7 0
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