The answer would be *A 6.30inches*
If you choose to fully simplify this expression, then the answer is b^3
If you just want to convert to rational exponent form, then the square root will be replaced with an exponent of 1/2. The rule is sqrt(x) = x^(1/2)
So,
sqrt(b^6) = (b^6)^(1/2)
which can be written as

note how the exponents 6 and 1/2 multiply to 3, which is why the fully simplified version is b^3
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
<em />
Answer: $3.418 from each book
Please mark me as Brainliest
Hope this helped :)
Answer:
A one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
Distribute
4x - 20 = 3x+7
Subtract 3x from each side
4x-3x-20 = 3x+7-3x
x -20 = 7
Add 20 to each side
x -20+20 = 7+20
x = 27
There is one solution