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Veseljchak [2.6K]
2 years ago
6

What is the value of xfind the value of f​

Mathematics
2 answers:
zvonat [6]2 years ago
6 0

Answer:

x = 20 , f = 40

Step-by-step explanation:

4x and 5x are a linear pair and sum to 180° , then

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

5x = 5 × 20 = 100° and 3x = 3 × 20 = 60°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

5x is an exterior angle of the triangle , then

f + 3x = 5x , that is

f + 60 = 100 ( subtract 60 from both sides )

f = 40

Black_prince [1.1K]2 years ago
4 0

Answer:

x = 20°

f = 40°

Step-by-step explanation:

4x + 5x = 180°

because a straight line is 180°

so 9x = 180°

1x = 180 ÷ 9

1x = 20

all angles in a triangle add together is 180°

so 7x + f = 180°

1x = 20

7x = 20 × 7

7x = 140°

f = 180° - 140 °

f = 40°

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3 years ago
You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
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9514 1404 393

Answer:

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Step-by-step explanation:

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The monthly payment is $91.83.

6 0
3 years ago
X to the 2 power -6 when X = -14
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8 0
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A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you
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Volume of sphere formula: 4/3 x PI x r^3

Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches

1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.

Total volume : 1526.04 + 763.02 = 2289.1 cubic inches

4 0
4 years ago
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9-3 divided by 4+2•12+6 divided by 2•3
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Answer:

1/34

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3/17 divide by (2x3)= 1/34

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3 years ago
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