1) The measures of the opposite angles of an inscribed quadrilateral are supplementary, add up to 180.
That means that angle ROP and angle RQP are supplementary.
We can add them and set them equal to 180 so that we can solve for x first.
∠ROP + RQP = 180
x + 17 + 6x - 5 = 180
7x + 12 = 180
7x = 168
x = 24
Now use the 24 for x and solve for the measure of angle ROP.
∠ROP = x + 17
∠ROP = 24 + 17
∠ROP = 41
The answer is A
2) The answer is A.
Hope this helps :)
Answer:
$33.33
Step-by-step explanation:
Use the formula i = prt, where p is the principal, r is the interest rate as a decimal fraction and t is the elapsed time in years.
Here, i = $500*(0.10)*(2/3 year) = $33.33
Answer: GCF of 13 and 17 is 1. 2.
Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.
Step-by-step explanation:
Kayden:Kayah:Kayla:Michelle
2:3:4:3
2k+3k+4k+3k=36
12k=36
k=36:12
k= 3
Kayden- 2•3=6
Kayah- 3•3=9
Kayla= 4•3=12
Michelle= 3•3=9
Answer:
C. f(-1) =12
Step-by-step explanation:
f(x)= 3x^2+9
Let x=-1
f(-1) = 3(-1)^2 +9
= 3(1)+9
= 3+9
= 12
f(-1) =12
