What is the measure of angle d? explain how you knew using angle relationships from the diagram (such as "this angle was corresponding/vertical/alternate interior or exterior/supplementary/complementar y so i knew that the measurement was because ") answer blank and question correctly

d = 122°

Step-by-step explanation:

∠d and 58° are a straight angle and supplementary

∠d = 180° - 58° = 122°

OR

∠a = 58° ( alternate angles )

∠a and ∠d are same side interior angles and supplementary

hence ∠d = 180° - 58° = 122°

answer:

c. the third graph

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: