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Natasha2012 [34]
3 years ago
13

Write 5 times x to the two thirds power in radical form.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0
(5 • x)^2/3

We know that the parentheses goes around 5 • x and that it also goes to the power of 2/3.
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What is the missing statement in the proof? Scroll down to see the entire proof.
Eva8 [605]

Answer: C. \angle BCA\cong \angle DCB is the missing statement.

Explanation: Given: ΔABC with m∠ABC = 90° (view diagram)

Prove: AB^2 + BC^2 = AC^2

Proof:  1. Draw BD\perp AC (construction)

 2. \angle ABC\cong\angle BDC  (Angles with the same measure are congruent.)

3. \angle BCA\cong \angle DCB (Reflexive Property of Congruence)

4. \triangle ABC\sim \triangle BDC  (AA criterion for similarity)

5. BC:DC=AC:BC  (Corresponding sides of similar triangles are proportional.)

 6.BC^2= AC\times DC  (cross multiplication)----------(1)

7. \angle ABC\cong \angle ADB (Angles with the same measure are congruent)

8. \angle BAC\cong \angle DAB (Reflexive Property of Congruence)

9. \triangle ABC\sim \triangle ADB  (AA criterion for similarity)

10.  AB:AD=AC:AB⇒AB^2=AC.AD --------------(2)

equation (1) + equation (2) ⇒AB^2+BC^2= AC(DC+AD)⇒AB^2+BC^2= AC^2


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<u>For this question, I will be writing 'csc' instead of 'cosec'</u>

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