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Tresset [83]
3 years ago
12

Intersecting lines that are formed as a right angle are defined as?

Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer:

Perpendicular

Step-by-step explanation:

Natalija [7]3 years ago
4 0

Answer:

Perpendicular

Step-by-step explanation:

Definition of perpendicular lines:

Lines that intersect forming a right angle are perpendicular lines.

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O is the centre of the circle. AB is a diameter.
viktelen [127]

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

∴ OA = OB = OC

In Δ AOC

∵ OA = OC

∴ Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

∴ m∠OAC = m∠OCA

∵ m∠OAC = a°

∴ m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

∴ a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

∴ a° = 63

∴ The value of a is 63°

In ΔBOC

∵ OB = OC

∴ Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

∴ m∠OBC = m∠OCB

∵ m∠OBC = b°

∴ m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

∴ m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

∵ b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

∴ b° = 27

∴ The value of b is 27°

3 0
3 years ago
25 The library has an empty bookcase with 4 shelves. Each shelf can hold 23 chapter þooks. If the library has 117 new chapter bo
bixtya [17]

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

7 0
3 years ago
Read 2 more answers
One number is twelve greater than another number. Twice the larger plus five times the smaller is 38. Find both numbers.
SSSSS [86.1K]

Answer:

I need points because i have a question

Step-by-step explanation:

And i need major help hope u understand also thanks

8 0
3 years ago
Find the area and the perimeter of the shaded region
lyudmila [28]

Answer:

area: 41.04 cm² ; perimeter 35.8 cm

Step-by-step explanation:

Perimeter of shaded area = 1/4 perimeter of circle + line AC = ¼ * 3.14 * 2 * 12 + √(12² + 12²) = 18.84 + 12√2 cm = 35.8 cm

Area of Shaded Region = 1/4 area of circle - area of triangle = ¼ * 3.14 * 12² - ½ . 12 * 12

= (¼ * 3.14 - ½) * 12² = 41.04 cm²

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A linear function, f, has an x-intercept at (5,0) and a y-intercept at (0,3). Which best describes the shape of the graph of thi
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<span>As x approaches positive infinity, f(x) approaches negative infinity, since the graph goes down</span>

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3 years ago
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