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Harlamova29_29 [7]
3 years ago
12

Angle sum theorem. y=? Degrees

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

y = 55°

Step-by-step explanation:

By exterior angle theorem:

y = 25° + 30°

y = 55°

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The largest possible circle is to be cut from a 12-foot square board. Calculate the approximate area, in square feet, of the rem
olchik [2.2K]
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Find Area of the circle:
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Area of a circle = πr²
Area of the largest possible circle = π x(12 ÷ 2)²
Area of the largest possible circle = 113.10 ft²

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Find Area of the square board:
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Step-by-step explanation:

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3 years ago
Lines l and m are parallel. If m∠3 = 3x + 11 degrees and m∠2 = 4x + 1 degrees, what is the measure of ∠7? 41 degrees 139 degrees
kipiarov [429]

Answer:

m<7 = 139°

Step-by-step explanation:

Given:

m<3 = (3x + 11)°

m<2 = (4x + 1)°

Required:

m<7 = ?

SOLUTION:

Given that l and m are parallel lines, m<3 and m<2 are alternate interior angles.

Alternate interior angles are congruent. Therefore:

m<3 = m<2

3x + 11 = 4x + 1 (substitution)

Solve for x

3x + 11 - 4x = 4x + 1 - 4x

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-x + 11 - 11 = 1 - 11

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Divide both sides by -1

x = 10

Find m<2:

m<2 = (4x + 1)

Plug in the value of x

m<2 = 4(10) + 1 = 40 + 1

m<2 = 41°

Find m<7:

m<2 + m<7 = 180° (consecutive interior angles are supplementary)

41° + m<7 = 180° (substitution)

m<7 = 180 - 41 (subtracting 41 from each side)

m<7 = 139°

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3 years ago
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