Answer is D
After dilation the image remain same but it is stretched or shrinked to the original size.
That means the ratio of the sides and the angles between the sides remain same .
Here we did dilation of ABCD which made it to EFGH.
Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.
the corresponding sides are : AB and EF
BC and FG
CD and GH
DA and HE
* Let us find ratio of the sides AB and BC
given that AB= 10 and BC= 14
AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )
* the raio of the corresponding sides EF and FG should be same ( 5/7)
in the option D EF= 25 and FG= 35
so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )
Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD
To solve the problem:
<span>Let f = distance one way distance on level
ground</span>
<span>
Let h = distance rode on the hill</span>
<span>
Write a time equation; where Time = distance/speed:</span>
<span>
level time + uphill time + downhill time + level time = 1hr</span>
<span>
</span>
<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>
<span>
Multiply equation by 18 to get rid of the denominators</span>
<span>
</span>
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
<span>f + h = 4.5 miles is took her to get to Jon’s
house.</span>
12x-4y=16
Isolate Y:
Subtract 12x from both sides
-4y=-12x+16
Divide by -4
y=3x-4
Therefore the slope is 3
Answer:
3, 8, 12, 12, 14, 20, 21, 23, 26, 34
stem leaf
0 3 8
1 2 2 4 (you have 12,12,14)
2 0 1 3 6 ( numbers 20,21,23,26)
3 4 ( number 34)