Answer:
A
Step-by-step explanation:
3^5 x 3^4
=3^5 + 4
=3^9
so the answer is option A
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Answer:
The value x in the equation 50=14+x+7+2x-1 is 10
Step-by-step explanation:
Given that the length of one side of a triangle is 14 inches
Let a be the length of one side
Therefore a=14 inches
The length of second side in x+7 inches
Let b be the length of second side
b=x+7 inches.
The length of third side is 2x-1 inches
Let c be the length of third side
c=2x-1 inches
And perimeter of the triangle =50 inches
Perimeter of a triangle =a+b+c
Equation can be written as
50=14+x+7+2x-1
50=20+3x ( adding the like terms )
Rewritting as below
3x+20=50
3x+20-50=50-50
3x-30=0
3x-30+30=0+30
3x=30

Therefore x=10
The value of x is 10
The vertices for the dilated image can be found by multiplying the coordinates of the original image by the scale factor. In this problem, the scale factor is 1/3.
(0,0) ⇒ 0 x 1/3 = 0 ; 0 x 1/3 = 0 ⇒ (0,0)
(27,0) ⇒ 27 x 1/3 = 9 ; 0 x 1/3 = 0 ⇒ (9,0)
(36,30) ⇒36 x 1/3 = 12 ; 30 x 1/3 = 10 ⇒ (12,10)
(9,30) ⇒ 9 x 1/3 = 3 ; 30 x 1/3 = 10 ⇒ (3,10)
Answer is choice D. (3,10)
Lets say we have a rectangle. if the ratio is 7:5, we can put the width as 7x, and the length as 5x (or vice versa, it doesn't really matter.) If the perimeter is solved by 2(h+w), we have 2(7x+5x)=96, or 2(7x)+2(5x)=96, which is C