Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that
corresponding sides of similar triangles are in same proprtion .
that gives
7/10 = BP/11
7*11=10BP
BP=7.7
Again using the ratio rule
7/10 = AP/6
42 = 10AP
AP = 4.2
Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9
Correct option is A.
This is a classic order of operations question
I always remember order of operations as PEMDAS, or
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction
So lets look at your problem: 6 • (4 + 2)² – 32
The first thing to do is what is in the parentheses, the 4 + 2
6 • (6)² – 32
The 2nd thing is the exponent
6 • 36 – 32
Next we do the multiplication
216 - 32
And finally the subtraction, leaving us with
184
Answer:
l=200 yard
w=70 yard
Step-by-step explanation:
let width =w
length l=2w+60
then perimeter P=2(l+w)=2(2w+60+w)=540
3w+60=270
3 w=270-60=210
w=70
l=2*70+60=200
Answer:
Step-by-step explanation:
10/3
18/5
6/4 or 3/2 or 1 1/2
18/20 or 9/10
9/16
Let 
and 
be the number of elves and reindeers, respectively.
We know that:
(so far 14 of them have arrived)
(each reindeer has 4 legs and each elf has two)
If we multiply the first equation by 2 we have 
, and if we subtract this equation from the second we have 
which implies 
.
So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).
