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
Hi there
The formula of the future value of annuity due is
Fv=pmt [(1+r)^(n)-1)÷r]×(1+r)
Fv future value?
PMT payment 9000
R interest rate 0.04
N time 75−51=24 years
So
Fv=9,000×((((1+0.04)^(24)−1)
÷(0.04))×(1+0.04))
=365,813.17
It's c
Hope it helps
Use the rule of 3 simple
x mean 100%
3 mean 15%
-------------------
x = 3*100/15 = 300/15 = 20
hope this will help you
Answer:6.7
Step-by-step explanation:
5t-17.2=16.3
5t=16.3+17.2
5t=33.5
5t/5t=33.5/5
t=6.7
Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)
oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other
angles are
150,30,150
