Question

Can you help on 7-9
Please this is due tomorrow

Answer 1

The answer for no 7 is A. 24 in, for no 8 is C. 10 in, for no 9 is D. similar

Explanation:

The answer for no 7 can be calculation as follows

Since both rectangles are similar, then the corresponding side are proportional, and it follows

`\frac{\overline{KJ}}{\overline{AB}}=\frac{x}{\overline{AD}}`

`(48)/(144)=(x)/(72)`

Where
`x` is the line segment
`\overline{MJ}`

Multiply both sides by
`72` to isolate
`x`

`(48)/(144)* 72=(x)/(72)* 72`

`(48* 72)/(144)=x`

`(3456)/(144)=x`

`24=x`

Since the value of
`x` is
`24`, then the length of
`\overline{MJ}` is
`24` in

The answer for no 8 can be calculation as follows

Since both rectangular frames are similar, then the corresponding side are proportional, and it follows

`(w_2)/(w_1)=(x)/(h_1)`

Where
`w_2` is the width of frame
`2`,
`w_1` is the width of frame
`1`,
`x` is the height of frame
`2`,
`h_1` is the height of frame 1

Substitute
`8` for
`w_2`,
`12` for
`w_1`,
`15` for
`h_1`

`(8)/(12)=(x)/(15)`

Multiply both sides by
`15` to isolate
`x`

`(8)/(12)* 15=(x)/(15)* 15`

`(8* 15)/(12)=x`

`(120)/(12)=x`

`10=x`

Since the value of
`x` is
`10`, then the height of the second rectangular frame is
`10` in

The answer for no 9 can be evaluated as follows

Since two polygons are similar if and only if two conditions are satisfied

1. All pairs of corresponding angles are congruent
2. All pairs of corresponding side are proportional

Then the two polygons are similar