Isosceles triangle, angle P = angle Q.
3x + 10 = x + 52
2x = 42
x = 21
Congruent angles are both x+52=73 degrees. Triangle angles add to 180 so
y = 180 - 73 - 73 = 34 degrees
Answer: 34
Volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:
∛1331 = ∛11³ = 11
& ∛729 = ∛9³ = 9
So the linear scale is 11/9 ==> then the ratio of their surface area will be:
11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
There is a typo error in the last part of the question. The corrected part is-
"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"
Answer:
The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>
Step-by-step explanation:
Given:
Probability of ordering fries is, 
Probability of ordering cheese sandwich is, 
Probability of ordering both sandwich and fries is, 
Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as
.
Now, using addition theorem of probability, we get:

Therefore, probability of ordering cheese sandwich or fries is 0.43.
Answer:
equation; P=A(1+r/n)^nt
P=principal amount
A=value of investment
r= interest rate in decimals
n=number of times compounded
t=time in years
P=1000(1+0.16/12)^12(5)= $2213.8 rounded
Step-by-step explanation: