Answer:
Option B.
Step-by-step explanation:
It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.
RT is altitude on side SQ, ST=9, TQ=16 and SR=x.
In ΔSRQ and ΔSTR,
(Reflexive property)
(Right angle)
By AA property of similarity,

Corresponding parts of similar triangles are proportional.

Substitute the given values.


On cross multiplication we get


Taking square root on both sides.


The value of x is 15. Therefore, the correct option is B.
Answer:
b. not at all
Step-by-step explanation:
• a line goes on forevee in every direction
• a ray continues forever in one direction only
• a segment has a set length and will not extend
You will have infinite solutions
Answer:
It will take 2.6 hours by Daniel to catch up with Frank.
Step-by-step explanation:
Let Daniel will catch up with Frank after t hours.
Now, Frank will go 13 miles in
hours.
So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.
Hence, 45(t + 0.288) = 50t
⇒ 5t = 13
⇒ t = 2.6 hours.
Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728