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
The answer would be A) $79.20
(220*.4).9 as 60 percent off means that the product is only 40 percent of its original value, furthermore, we multiply the entire thing by .9
Answer:
19
Step-by-step explanation:
15z-14z=12+7
z=19
Writing in percentages is actually writing a fraction with 100 on its denominator.
By doing so, we can easily compare data.
For example 1/2 may be written as 50/100 and it is denoted by 50%.
So, in your question, 77% means 77/100.
Since fractions represent ratios, writing in ratio form, we get 77:100. The answer is (b)77:100
Solution:
The probability of an event is expressed as

In a pack of 52 cards, we have

Thus, we have the probability to be evaluated as