Answer:
Option A. ∠C and ∠C'' are congruent after both the translation and the dilation
Step-by-step explanation:
we know that
The translation is a rigid transformation. After the translation the image and the pre-image are congruent
The dilation is a non rigid transformation. After the dilation the image and the pre-image are similar
Remember that
If two figures are similar, then its corresponding angles are congruent and the ratio of its corresponding sides is proportional
If two figures are congruent, then its corresponding angles and corresponding sides are congruent
therefore
∠C and ∠C'' are congruent after both the translation and the dilation
Answer:
12x-17=139
8x+35=139
Step-by-step explanation:
The angles are vertical angles which means they are equal
12x-17 = 8x+35
Subtract 8x from each side
12x -8x-17 = 8x-8x+35
4x -17 = 35
Add 17 to each side
4x - 17 +17 = 35+17
4x = 52
Divide each side by 4
4x/4 = 52/4
x =13
12x-17 = 12(13) -17 = 156-17 =139
8x+35 =8(13) +35=104+35=139
Answer:
x = 9/8 = 1.125
Step-by-step explanation:
Step by step solution :
Step 1 :
1
Simplify —
2
Equation at the end of step 1 :
6 1
———————— - — = 0
(8x + 3) 2
Step 2 :
6
Simplify ——————
8x + 3
Equation at the end of step 2 :
6 1
—————— - — = 0
8x + 3 2
Ans given below
-3r-12=-21
-3r=-21+12
-3r=-9
r=-9\-3
r=3
