Step-by-step explanation:
4x+5x=180 (allied angles)
9x=180
x=180/9
x=20
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
Step-by-step explanation:
To multiply the fractions, like
Multiply the top,
then multiply the bottom.
Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like
You take the top number,
Then you flip the bottom number,
Then multiply the two
And that is your answer. Comment if you need more clarification
Hi
Here is you answer mate
But don’t forget to mark me the brainliest
Plug the applicable numbers into the compound interest formula and see which is more.
A = p(1+r/n)nt
A = future amount
p =principal investment
r = interest rate as a decimal
n = number times compounded per year
t = time in years
A = 5000(1+.0743/365)365(10)
= 5000(1.000203562)3650 = $10,510.38
A = 5000(1+.075/4)4(10)
= 5000(1.01875)40 = $10,511.75
As you can see these are practically equal, but the 7.5% quarterly is more.
