I need help on this one

<A=60°, x=12, y=6√3

Step-by-step explanation:

<A= 180 - (<B+<C)

angles in a triangle add up to 180°

<B=90°, right angle, <C=30°, given

<A=180-(90+30)

<A=180-120

<A=60°

Side x.

Using the theorem

Side opposite 30° in right triangle is half the hypotunese, x, we know that 6 is half of x.

6 · 2 =12

Side y.

Use the pythagorean  theorem to find side y

=c

we have c, which is x, and we need a, which is y,

so we subtract

12^2 - 6^2

144-36=108

is not a perfect square

so factor,

6*6= 36*3 = 108, 6 is the perfect square so bring out

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: