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Darya [45]
2 years ago
12

Pls show steps and explain​

Mathematics
2 answers:
Anvisha [2.4K]2 years ago
8 0

Answer:

3x+30= 116° 2x=64°

Step-by-step explanation:

the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this

5x+20=180

5x=160

x=32

sub x into the angle equations

3(32)+20=116

2(32)=64

Vikki [24]2 years ago
5 0

Answer:

x=32°

Step-by-step explanation:

3x+20+2x=180°(being co interior angle)

3x+2x+20=180°

5x=180-20

5x=160

x=32°

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The GCE of 10 and 35 is 5
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Is 49 a perfect square
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Yes, it is also a square number
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A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou
Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0
2 years ago
Find the area of the
Alex73 [517]

162 m^2

you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)

and s^2=162

5 0
3 years ago
Given the quadratic relation y = -x2 + 6x - 6, a) write the equation in vertex form b) graph the quadratic relation (using noteb
Mekhanik [1.2K]
<h3>Answer:</h3>
  • y = -(x -3)² +3 . . . . (agrees with your answer)
  • see the attachment for a graph
<h3>Step-by-step explanation:</h3>

Factoring the leading -1 from the first two terms, we have ...

... y = -(x² -6x) -6

Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...

... y = -(x² -6x +9) -6 +9

... y = -(x -3)² +3

8 0
3 years ago
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