ABC is similar to PQR
that means AC/PR is a constant = 12/ 6 = 2
AC= 2 PR
AB= 2PQ
BC= 2QR
Perimeter of ABC= AB+BC+ CA=
2PQ + 2 QR + 2PR= 2( PQ+ QR+ PR)
= 2( perimeter of triangle PQR )
Perimeter of ABC= 2( perimeter of PQR) = 2* 36 = 72
Answer : 72.
21+45+70=136
136+(2+x)=180
First subtract 136 from both sides
(2+x)=44=M<ROS
Subtract 2 from both sides
x=42
Well 10 times 80 is 800 and dividing it by 9.8 gives us 81.63
Answer:
f(x) = 30 • 0.989x
Step-by-step explanation:
Given the data :
10 26.8
20 23.9
30 21.3
40 19
50 16.9
60 15.1
Using technology, the exponential model equation obtained by plotting the data is :
y = 30.068(0.989)^x
Based on the general exponential formula :
y = ab^x
y = predicted value
Initial value, a = 30.068
Rate = b = 0.989
The most appropriate model equation from the options given is :
f(x) = 30 • 0.989^x
Well, the quotient must be bigger/smaller
lets say the numbers are x and y
x>y
so
x-y=30 and x/y=6
multiply both sides by y in 2nd equation
x=6y
subsitute 6y for x in other equation
6y-y=30
5y=30
divide by 5
y=6
sub back
x=6y
x=6(6)
x=36
the numbers are 36 and 6
but they could also be -36 and -6 because -36/-6=6 and -6-(-36)=30
the 2 numbers are 36 and 6 or -36 and -6