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
Answer:
The correct answer is A.
Step-by-step explanation:
face value = 1.86 , charges are 20% more for smokers
⇒ Charges = 20% of 250000 = $50000
Total charge = Charge × face value
= 50000 × 1.86 = $93000
face value = 1.86 , charges are 18% more for smokers
⇒ Charges = 18% of 250000 = $45000
Total charge = Charge × face value
= 45000 × 1.86 = $83700
face value = 2.07 , charges are 25% more for smokers
⇒ Charges = 25% of 250000 = $62500
Total charge = Charge × face value
= 62500 × 2.07 = $129375
face value = 2.25 , charges are 15% more for smokers
⇒ Charges = 15% of 250000 = $37500
Total charge = Charge × face value
= 37500 × 2.25 = $84375
Hence, The option A. is correct that is Aaron is paying the smallest premium possible with company B
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial 
. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
Substitute the numbers from the equation into the formula.
Simplify:
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with 
.
Hope this helps!
