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Kryger [21]
3 years ago
12

What is the value of x

Mathematics
2 answers:
Reil [10]3 years ago
6 0

Answer: 9

Step-by-step explanation:

shepuryov [24]3 years ago
5 0

Answer: 9cm

Step-by-step explanation:

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

6 0
3 years ago
Please help! I’ll give BRAINLIEST and show ur work please
Darina [25.2K]

Answer:

M<E=T M<T=E

Step-by-step explanation:

As you can see in the trapezoid the show you only one two sides that are equals so that's mean that the angles are congruent each other.  

7 0
3 years ago
Read 2 more answers
$82.50 for 7 1/2 hours of work. what is your rate of pay?
Tresset [83]
Simple,

Total=$82.50
Total Hours Worked= 7.5

82.50/7.5=11

Thus, your hourly rate of pay, is $11.
8 0
4 years ago
What is the answer please tell me!
slava [35]

Answer:

add all of the absolute deviations and divide by the number of swimmers

Step-by-step explanation:


5 0
4 years ago
The rugby team bought a total of 20 rugby balls for the season. the nicer game balls cost $28 each, while the regular practice b
Marianna [84]

Answer:

5 nicer and 15 regular

Step-by-step explanation:

28(5) + 16(15) = 380

140 + 240 = 380

7 0
3 years ago
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