Answer:
10
Step-by-step explanation:
Given that:
Point X = (3, 2)
Point Y = (3, - 8)
Distance of point X to Y:
Distance = √(x2 - x1)^2 + (y2 - y1)^2
X1 = 3 ; y1 = 2 ; x2 = 3 ; y2 = - 8
Distance = √(3 - 3)^2 + (-8 - 2)
Distance = √(0)^2 + (-10)^2
Distance = √0 + 100
Distance = √100
Distance = 10
We can take out one of the points such as H (2,6) and then take it's dilation H' (1,3)and see that 2 and 6 were both multiplied by 1/2 to get 1 and 3, so the scale factor is 1/2
19y-9. you distribute -3 into (-4y +3) to get 12y -9 and then you combine like terms so 12y +7y to get 19y and you still have the -9 so the simplest form would be 19y-9
Givens<FOP = 2x + 2
<POQ = 10x - 8
<OF is bisects POQ
Comment
If you multiply POF (which is
2x + 2) by 2 it will be the same size as <POQ because POF is one of the bisected angles of < POQ.
Create an equation and solve
2(2x + 2) = 10x - 8 Remove the brackets.
4x + 4 = 10x - 8 Add 8 to both sides.
4x + 4 + 8 = 10x Combine like terms.
4x + 12 = 10x Subtract 4x from both sides.
12 = 10x - 4x
12 = 6x Divide by 6
x = 12/ 6
x = 2 <<<< answer A
Find <POF< POF = 2x + 2
< POF = 2(2) + 2
<POF = 4 + 2
<POF = 6 <<<< answer B
Find <QOF<QOF = <POF
<QOF = 6 <<<<< Answer C
Find <POQ<POQ = 10x - 8
<POQ = 10(2) - 8
<POQ = 20 - 8
<POQ = 12 <<<<< Answer D
Answer:
x=-9/10
Step-by-step explanation:
