Answer:
The answer is below
Step-by-step explanation:
Two triangles are similar if the ratio of their corresponding sides are in the same proportion.
1. ΔWXY is isosceles with legs WX and WY (given)
2. ΔWVZ is isosceles with legs WV and WZ (given)
3. WX = WY, WV = WZ (definition of an isosceles triangle)
4. 
(definition of ≅)
5. (WZ)(WX) = (WY)(WZ) (multiplication property)
6. (WZ)(WX) = (WY)(WV) (substitution property).
7. 
(property of proportion)
8. ∠W = ∠W (reflexive property)
9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)
We can change the negative sign into i instantly as sqrt-1 is i.
With this the problem simplifies to sqrt48*i.
Now sqrt48=sqrt4*sqrt4*sqrt3=2*2*sqrt3
So the final product is 4sqrt3*i=4isqrt3.
Thus choosing choice 3 :)
I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.
1. (3 , 2); y = 3x - 2
If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3
y = mx + b
y = 3x + b
To find b you plug in the point (3, 2) into the equation
2 = 3(3) + b
2 = 9 + b
-7 = b
The equation of the line that is parallel to the given equation is:
y = 3x - 7
To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)
The given slope is 3, the perpendicular slope is 
y = mx + b
To find b, you plug in the point (3 , 2) into the equation
2 = -1 + b
3 = b
The equation of the line perpendicular to the given equation is:
I believe that the answer is B
Answer:
12
Step-by-step explanation:
for this you need to draw a straight line and plot the points J,K,L,M,N according to the question.
here,
given K lies between J and M, L is between K and M , M is between K and N.
JN= 30, KM=8
JK=KL=LM
MJ= ?
according to the question,
J--------K-------L--------M-------N
KM= 8
KL+LM= 8 (KL+LM=KM)
KL+KL=8 ( given, LM=KL)
2KL= 8
KL=4
so,
JK= KL=4 and LM= KL= 4
now,
MJ= ?
we know
MJ= JK+KM = 4+8= 12
