The distance between two points (x₁,y1),(x₂,y₂) is d

For the given problem we have
<span>W(1,8),X(7,8),Y(4,5), and Z(1,2)
The length of WY = </span>

= 3√2
The length of WX =

= 6
The length of WZ =

= 6
The length of XY = <span><span>

= 3√2
</span>The length of ZY = </span><span>

= 3√2
∴ WX = WZ ⇒⇒⇒ proved
XY = ZY ⇒⇒⇒ proved
WY = WY ⇒⇒⇒ reflexive property
∴ Δ</span><span>WYZ is congruent to ΔWYX by SSS method</span>
Answer:
3 cents
Step-by-step explanation:
Divide the cost by total pounds. 10.5 divided by 313 is 0.03.
Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
_____
The graph shows the original points and the line through them in red, and the dilated points and line in green.
Answer:
a.= 3.714
b.= 2.405
Step-by-step explanation:
a. 3.714 x 21 = 78
b. 2.405 x 37 = 89