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Nataly [62]
3 years ago
5

Quadrilateral WXYZ is on a coordinate plane. Segment YZ is on the line x+y=7, and segment XW is on the line x+y=3. Which stateme

nt proves how segments YZ and XW are related?
A. They have slopes that are opposite reciprocals of 1 and -1 and are therefore perpendicular
B. They have the same slope of 1 and are therefore parallel
C. They have slopes that are opposite reciprocals of 0 and undefined and are therefore perpendicular
D. They have the same slope of -1 and are therefore parallel
Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

  D. They have the same slope of -1 and are therefore parallel

Step-by-step explanation:

In the linear equation ...

   ax + by = c

the slope of the line is m = -a/b. For the given equations, the slopes are ...

  x+y = 7   ⇒   m = -1/1 = -1

  x+y = 3   ⇒   m = -1/1 = -1

The slopes are the same, and both slopes are -1, so the lines are parallel.

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Sonbull [250]
1.) B

because it says the person buys a ski for 350. He puts down $110 which means to subtract. Now he got a discount which also means to subtract. Then it told that he gave 1/2 them money to his mother. So that too means to subtract. 

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6 0
3 years ago
Why is the equation y-y1=m(x-x1) called the point-slope form?
MatroZZZ [7]

Answer:

The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

Step-by-step explanation:

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

The formula y-y_1=m\left(x-x_1\right) is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.

For example, if we are given the point (1, 1) and slope m = 2

Then substituting the values m = 2 and the point (1, 2)

y-y_1=m\left(x-x_1\right)

y - 2 = 2(x-1)

y - 2 = 2x-2

y = 2x-2+2

y = 2x

Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

5 0
2 years ago
What are the coordinates of (2,3) after a translation of 2 units left and then a rotation of 90 in a counterclockwise rotation a
eimsori [14]
2 units left would make it be 0,3 and a rotation of 90 degrees counterclockwise about the origin would make it -3,0
3 0
3 years ago
What is the volume, in cubic feet, of a cone that has a base area of π / 4 square feet and a height of 3 feet?
rewona [7]
The\ volume\ of\ a\ cone:V=\frac{1}{3}B\cdot H\\\\B=\frac{\pi}{4}ft;\ H=3ft\\\\therefore\\\\V=\frac{1}{3}\cdot\frac{\pi}{4}\cdot3=\boxed{\frac{\pi}{4}\ (ft^2)=\frac{1}{4}\pi\ (ft^2)}
8 0
3 years ago
In a rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆P
ololo11 [35]
Angles PMN and MPN are also 16 because the triangles are isosceles.
The measure of the third angle (angle N) is 148 which also equal to the measure of angle K. The measure of angle PKE is 74 which half of the measure of angle N and angle K.<span />
5 0
2 years ago
Read 2 more answers
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