C is the best option and compare it with the equation of circle to get values
![\boxed{\underline{\bf \: ANSWER}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cunderline%7B%5Cbf%20%5C%3A%20ANSWER%7D%7D)
![\sf \: ( 5 + 6 i ) ( 5 - 6 i )](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20%28%205%20%2B%206%20i%20%29%20%28%205%20-%206%20i%20%29)
Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.
![\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%205%5Ctimes%205%2B5%5Ctimes%20%5Cleft%28-6i%5Cright%29%2B6i%5Ctimes%205%2B6%5Cleft%28-6%5Cright%29i%5E%7B2%7D%20)
By definition, i² is -1.
![\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%205%5Ctimes%205%2B5%5Ctimes%20%5Cleft%28-6i%5Cright%29%2B6i%5Ctimes%205%2B6%5Cleft%28-6%5Cright%29%5Cleft%28-1%5Cright%29%20)
Do the multiplications.
![\dashrightarrow \sf \: 25-30i+30i+36](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5C%3A%2025-30i%2B30i%2B36%20)
Now cancel -30i & +30i
![\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Csf%20%5C%3A%2025%20%5C%3A%20%20%5Cbcancel%7B-%2030i%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%20%5Cbcancel%7B30i%7D%2B36%20)
Now the equation becomes
![\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Csf%20%5C%3A%2025%20%5C%3A%20%20%2B%2036%20%5C%5C%20%5Cdashrightarrow%20%20%5Cboxed%7B%5Cbf%20%5C%3A%2061%7D)
________
Hope it helps.
ŕάίήвόώşάĻţ2²2²
<h3><em>
Hey! </em></h3>
<u>let the numbers be n and m</u>
<u>n+m=65</u>
<u>n=4m</u>
<em>So when we put our work in:</em>
<u>4m+m=65</u>
<u>5m=65</u>
<u>m=13</u>
<u>n=52</u>
So therefore your two numbers are 52 and 13!
<em>Hope this helped! °ω°</em>
If it’s a triangle then it has to equal 180
so 48+54+x=180
48+54=102
180-102=x
x=78
Answer:
C
Step-by-step explanation: