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sergejj [24]
3 years ago
12

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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4.
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}

4 0
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.

\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44

3 0
3 years ago
I'm studying for a test, and I can't seem to remember how to find missing coordinates. Here's one example of the question,
gulaghasi [49]
Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.
6 0
3 years ago
The perimeter of the rectangle below is 84 unit . Find the length side of XY
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

2(4z-1)+2(5z+3)=84

8z-2+10z+6=84

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

Side XY≈ 25 unit

5 0
3 years ago
What is the standard deviation of the following data set rounded to the nearest tenth 3,17,18,15,12,21,9
Alenkinab [10]
I think that it is c or d but correct me if i am wrong
4 0
3 years ago
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