Answer:
The scale factor of triangle ABC to triangle RST is 1/3
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z ----> the scale factor
To find the scale factor divide the length side of the image (reduced triangle) by the corresponding length side of the pre-image (original triangle)

substitute the values

simplify

The scale factor is less than 1
so
Is a reduction
Answer: The range is 2
Step-by-step explanation:
To get from negative two to 0 you need to add to .
Or the difference 0 and -2 which is 0-(-2) = 2
Answer:
64
Step-by-step explanation:
let the number be x, then
x + 5 = 13 ( subtract 5 from both sides )
x = 8 ( multiply both sides by 8 )
x = 64
The number is 64
Answer:
The answers of all four questions are below.
Step-by-step explanation:
(5)4+2x=−2x+44
Step 1: Simplify both sides of the equation.
2x+4=−2x+44
Step 2: Add 2x to both sides.
2x+4+2x=−2x+44+2x
4x+4=44
Step 3: Subtract 4 from both sides.
4x+4−4=44−4
4x=40
Step 4: Divide both sides by 4.
4x/4=40/4
x=10
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(6)114−3x=194−11x
Step 1: Simplify both sides of the equation.
114−3x=194−11x
114+−3x=194+−11x
−3x+114=−11x+194
Step 2: Add 11x to both sides.
−3x+114+11x=−11x+194+11x
8x+114=194
Step 3: Subtract 114 from both sides.
8x+114−114=194−114
8x=80
Step 4: Divide both sides by 8.
8x/8 = 80/8
x=10
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(7)4x-12=-2x+36
4x-12+12=-2x+36+12
4x=-2x+48
4x+2x=-2x+48+2x
6x=48
6x/6=48/6
x=8
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(9)-3x+90=117-12x
-3x+90-90=117-12x-90
-3x=-12x+27
-3x+12x=-12x+27+12x
9x=27
9x/9=27/9
x=3
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