Find the area to the nearest tenth, if necessary.
1 answer:
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The distance between points S' and S is x= 2.5 units.
<h2>Given that</h2>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.
Point Q is the center of dilation.
Line segment ST is dilated to create line segment S prime T prime.
The length of QT is 1. 2 and the length of QS is 2.
The length of SS prime is x and the length of TT prime is 1. 5.
<h3>We have to determine</h3>What is x, the distance between points S' and S?
<h3>According to the question</h3>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.
Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.
Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.
We know that the corresponding sides of two similar triangles are proportional.
So, from ΔSTQ and ΔS'T'Q.
Hence, the distance between points S' and S is x= 2.5 units.
To know more about Pythagoras Theorem click the link given below.
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., , therefore
.
Hence, the correct option is A.