If measure of angle p=(10x-2),measure of angle o=(3x+9) , and measure of angle q=(3x-3) , list the lengths of the sides of triangle opq from longest to shortest. a. po, oq, pq b. oq, pq, po c. oq, po, pq d. po, pq, oq

B. OQ, PQ, PO

Step-by-step explanation:

To find x, add the measures and set equal to 180.

10x - 2 + 3x + 9 + 3x - 3 = 180

16x + 4 = 180

16x = 176

x = 11

m<P = 10x - 2 = 10(11) - 2 = 110 - 2 = 108

m<O = 3x + 9 = 3(11) + 9 = 33 + 9 = 42

m<Q = 3x - 3 = 3(11) - 3 = 33 - 3 = 30

OQ, PQ, PO

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: