Find the measure of ∠aed. a) 25° b) 65° c) 115° d) 155°

Option D. 155°

Step-by-step explanation:

Two lines AC and BD are intersecting each other at point E.

Since ∠DEC = ∠AEB [ opposite angles ]

5x = 3x = 10

2x = 10

x = 5 ⇒ ∠DEC = ( 3×5 ) + 10 = 15 + 10 = 25°

Now we have to find ∠AED

Since ∠AED + ∠DEC = 180° [Supplementary angles]

∠AED + 25 = 180

∠AED = 180 - 25

∠AED = 155°

Option D. is the answer.

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: