Question

NO LINKS!!! Please help me. Part 3​

Answer 1

ST = 63, HI = 28, IJ = 21

Explanation:

Step 1: Determine the scale

UT = 72 and HG = 56

`72 / 56 = 9/7`

Step 2: Determine ST

We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.

`ST = GF * 9/7`

`ST = 49 * 9/7`

`ST = 63`

Step 3: Determine HI

We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.

`HI = VU / (9/7)`

`HI = 36 / (9/7)`

`HI = 28`

Step 4: Determine IJ

We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.

`IJ = RV / (9/7)`

`IJ = 27 / (9/7)`

`IJ = 21`

Answer: ST = 63, HI = 28, IJ = 21

Answer 2

ST = 63

HI = 28

IJ = 21

Explanation:

Given: RSTUV ~ JFGHI

From inspection of the diagram, the corresponding sides are:

RS~JF

ST~FG

TU~GH

UV~HI

VR~IJ

The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.

TU = 72 and GH = 56

⇒ TU/GH = 72/56 = 9/7

Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7

If FG = 49

⇒ ST = 49 × 9/7 = 63

If UV = 36

⇒ HI = 36 ÷ 9/7 = 28

If VR = 27

⇒ IJ = 27 ÷ 9/7 = 21