Answer:
x = 5
Step-by-step explanation:
To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:
∠D = 10x
50° = 10x
Divide each side by 10 to isolate x:
50/10 = 10x/10
x = 5
Combine multiplied terms into a single fraction
Multiply the numbers
Subtract 7 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Answer:
y=4x
Step-by-step explanation:
you just have to find the slope!
Dilation factor = 15
M = (-2, -4)
M' = (-2 * 15, -4*15) = (-30, -60)
N= (1,5)
N' = (15, 75)
There is no option
Answer:
The correct option is:
y = 5(x-2)
Step-by-step explanation:
The graphed line is;
y = 5x - 10
y = mx + c
Thus, slope of graphed line is equal to m=5.
Those line will have no solution which have are parallel to the graphed line (have a slope of 5) and passes through the given points.
Following lines have the slopes 5:
y= 5(x+2)
y= 5(x-2)
Check which equation satisfied points (2,0) and (3,5)
For (2,0)
y=5(x-2)
y=5(2-2)
y=0
For (3,5)
y=5(x-2)
y=5(3-2)
y=5
Thus, correct option is y = 5(x-2)
