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Solnce55 [7]
3 years ago
12

Given m

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line <em>m</em> is parallel to line <em>n</em> and lines <em>m</em> and <em>n</em> have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line <em>m</em> and <em>x°</em> on line <em>n</em>

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

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xeze [42]

Answer:

2 meters

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8 0
3 years ago
ANSWER AND SHOW WORK FOR 40 POINTS
Elanso [62]

Answer:

Q1) (x+7)² = 9

x = -10, -4

Q2) (x-8)² = 144

x = -4, 20

Q3) (x-1)² = 81

x = -8, 10

Step-by-step explanation:

Q1) x² + 14x + 49 = 9

x² + 2(x)(7) + 7² = 9

(x + 7)² = 9

x + 7 = +/- sqrt(9)

x + 7 = 3

x = -4

x + 7 = -3

x = -10

Q2) x² - 16x + 64 = 144

x² - 2(x)(8) + 8² = 144

(x - 8)² = 144

x - 8 = +/- sqrt(144)

x - 8 = 12

x = 20

x - 8 = -12

x = -4

Q3) x² - 2x + 1 = 81

x² - 2(x)(1) + 1² = 81

(x - 1)² = 81

x - 1 =+/- sqrt(81)

x - 1 = 9

x = 10

x - 1 = -9

x = -8

5 0
3 years ago
Read 2 more answers
Can someone please help me with this i need it badddd
svetlana [45]
G=61°, h=9. the opposite angles are equal, and the opposite sides are equal.
7 0
3 years ago
Problem 5. A skating rink in the shape shown has an area of
nexus9112 [7]

Answer:

P=\dfrac{\pi r^2+2800}{r} $ ft

Step-by-step explanation:

Let the length of the rectangular part =l

The width will be equal to the diameter of the semicircles.

Area of the Skating Rink= 2(\frac{\pi r^2}{2})+(lX2r)

Therefore:

\pi r^2+2lr=2800\\2lr=2800-\pi r^2\\$Divide both sides by 2r\\l=\dfrac{2800-\pi r^2}{2r}

Perimeter of the Shape =Perimeter of two Semicircles + 2l

=2\pi r+2\left(\dfrac{2800-\pi r^2}{2r}\right)\\=2\pi r+\dfrac{2800-\pi r^2}{r}\\=\dfrac{2\pi r^2+2800-\pi r^2}{r}\\=\dfrac{\pi r^2+2800}{r}

The perimeter of the rink is given as:

P=\dfrac{\pi r^2+2800}{r} $ ft

4 0
2 years ago
Write an equation for a linear function whose graphs has the given characteristics. Passes through (-2,2) and (2,-8)
Illusion [34]
(-2,2)(2,-8)
slope = (-8 - 2) / (2 - (-2) = -10/4 = -5/2

y = mx + b
slope(m) = -5/2
(-2,2)...x = - 2 and y = 2
now we sub and find b, the y int
2 = -5/2(-2) + b
2 = 5 + b
2 - 5 = b
-3 = b

so ur equation is : y = -5/2x - 3
5 0
3 years ago
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