9514 1404 393
Answer:
D 9/DF = 18/16
Step-by-step explanation:
Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.
For these isosceles triangles, the similarity statement could be written either of two ways:
ΔDEF ~ ΔABC or ΔDEF ~ ΔCBA
Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...
DF and AC (short sides)
DE and AB (long sides)
EF and BC (long sides)
For each (short side, long side) pair, we can write the proportion 4 ways:
- DF/DE = AC/AB ⇒ DF/9 = 16/18
- DF/AC = DE/AB ⇒ DF/16 = 9/18
- DE/DF = AB/AC ⇒ 9/DF = 18/16 . . . . . matches choice D
- AC/DF = AB/DE ⇒ 16/DF = 18/9
Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.
Answer:
Step-by-step explanation:
a =3 ;r = 1/2
first term = 3
second term = 3*1/2 = 3/2
third term = 3/2 * 1/2 = 3/4
Fourth term = 3/4*1/2 = 3/8
Fifth term = 3/8 * 1/2 = 3/16
GP is: 3,3/2,3/4,3/8,3/16......
Answer:
72 green beads for 9 keychains, 104 for 13 keychains.
Step-by-step explanation:
since he uses 8 beads for every chain, multiply 8 by the number of chains made
please thank
The formula for compound interest is the following:
A=P(1+r/n)^nt
A=accumulated amount (what we're looking for)
P=Principal amount (initial amount). $800 in this case
r=rate. 0.09 in this case which we get from converting 9% to decimal by dividing by a 100.
n=number of times interest is compounded. In this case semi-annually which means 2
t=time. In this case 4 years
Let's calculate:
A=800(1+0.09/2)^(2*4)
A=800(1+0.045)^8
A=800(1.045)^8
A=800(1.42210061284)
A=1137.68049027
Let's round to the hundredth place (to represent cents) since the amount represents money.
Answer=The balance after 4 years will be $1,137.68
The greatest common factor is 30
