Step-by-step explanation:
For a
Let the another angle be x then
x + 51° = 90° {being complementary angles }
x = 90° - 51°
x = 39°
For b
Let the another angle be x then
x + 113° = 180° {being supplementary angles }
x = 180° - 113°
x = 67°
Answer:
d. The triangles are not similar because 6/13 ≠ 8/20.
Step-by-step explanation:
△ABC is similar to △DEF ,If the length of their corresponding sides are proportional.
ie : 6/13 = 8/20 = 10/25
Since , 6÷13 = 0.461538461538 ≠ 0.4 = 8÷20
Then
6/13 ≠ 8/20
Therefore , the triangles are not similar.
The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.
<h3>
Profitability index</h3>
First step is to find the Net present value (NPV) of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.
Second step is to calculate the profitability index
Profitability index = 49.7/340
Profitability index = .15×100
Profitability index=15%
Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.
Learn more about Profitability index here:brainly.com/question/3805108
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Answer:
4.2
Step-by-step explanation:
The square root of 18 is 4.24
So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.
Put the dot where you think it would be appropriate to be labled as 4.2.
Also if you didnt know the x axis is the one on the bottom.