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3 years ago

2. The sum of the measures of angle X and angle Yis 90. If the measure of angle Xis 30 less than twice the

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Answer:

50 degrees

Step-by-step explanation:

x + y = 90

x = 2y - 30

2y - 30 + y = 90

3y - 30 = 90

3y = 90 + 30

3y = 120

y = 120/3

y = 40

x = 2y - 30

x = 2(40) - 30

x = 80 - 30

x = 50 <====== angle x

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valkas [14]

Answer: $\boxed{y=\frac{4}{5}x-2}$

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

$y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}$

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2 years ago

Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac

Natasha2012 [34]

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

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3 years ago

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gulaghasi [49]

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lesya [120]

Answer:

25 unit

Step-by-step explanation:

See attachment for the missing figure.

Assuming the complete question is:

Side UY = 4z-1

Side UV = 5z+3

Perimeter of rectangle is given by:

2UY+2UV=P

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18z+4=84

18z = 84 -4 =>

18z = 80

z= 4.45 unit

Side UV = 5z+3 => 5(4.45) + 3

Side UV ≈ 25 unit

SInce, Side UV = Side XY

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