Step-by-step explanation:
Complete the proof of the Pythagorean theorem is given below.
Statement Reason
1. ΔABC is a right triangle, with a 1. Given
right angle at ∠C
2. Draw an altitude from point C 2. From a point not on a line, exactly
to AB one perpendicular can be drawn through the point to the line
3. ∠CDB and ∠CDA are right 3. Definition of altitude
angles
4. ∠BCA ≅ ∠BDC 4. All right angles are congruent
5. ∠B ≅ ∠B 5.
6. ΔCBA ~ ΔDBC 6. AA Similarity Postulate
7. 7.
8. 8.
9. ∠CDA ≅ ∠BCA 9.
10. ∠A ≅ ∠A 10.
11. ΔCBA ~ ΔDBA 11. AA Similarity Postulate
12. 12.
13. 13.
14. 14.
15. 15. Distributive Property
16. 16.
17. 18.
We can write:
$6 for 2 miles or less (fixed).
$2 for every additional mile after 2 miles.
$4 for every additional mile after 6 miles.
We have a function defined by parts:
<em>For 0</em>
<em>For 2<=x<6, the function is f(x) = 6 + 2(x-2).</em>
<em>For x>=6, the function is f(x) = 6 + 2(x-2) + 4(x-6)</em>
Between 1 mile and 2 miles, the cost is fixed in $6.
Answer:
ok we start form thedrgvbjm,;.Step-by-step explanation:
Based on the fact that Duffs Co. dividends grow at 24% for three years and then 6%, the current share price of the company is $63.29.
<h3>What is Duffs Co. current price?</h3>
First, find the price of the stock in year 3 when the stock grows at 6%:
= (1.90 x 1.24³ x 1.06) / (0.11 - 0.06)
= $76.79
This amount is the terminal value. You are to take the present value of this amount along with the present value of the dividends up to year 3:
= ((1.90 x 1.24) / 1.11) + ((1.90 x 1.24²) / 1.11²) + ((1.90 x 1.24³) / 1.11³) + 76.79 / 1.11³
= $63.29
Find out more on solving for current share price at brainly.com/question/15798462
#SPJ1
Answer:
V=1728in³
Step-by-step explanation:
a Edge - 12 in
Answer: V=1728in³
Hope this helps.