Since the scale factor of the dilation is 2, you would multiply each of the pre-image line segments' lengths by 2.
therefore,
P'Q'=4cm
A'B'=3cm
M'N'=6cm
Hope this helps you out!
Answer:
JKLM is a parallelogram
Explanation:
The slope m of a line through two points (x1,y1) and (x2,y2)is given by the formula:
m=Δy/Δx=y2-y1/x2-x1
So the slopes of the sides of our quadrilateral are:
mJK=(−1)−24−(−3)=−37
mKL=(−5)−(−1)2−4=2
mLM=(−2)−(−5)−5−2=−37
mMJ=2−(−2)(−3)−(−5)=2
So JK is parallel to LM and KL is parallel to MJ
So JKLM is a parallelogram.
Answer:
p=0.05882
Step-by-step explanation:
Probability is the likelihood of an event occurring.
-A standard deck of cards has 4 kings.
#After one card is removed, 51 remains of which 3 are kings:

Hence, the probability that the second card is king is 0.05882
Answer:
w = 6
RS = 13
Step-by-step explanation:
RS + ST = RT
(2w + 1) + (w - 1) = 18
3w = 18
; w = 6
Hence the value of RS = 2(6) + 1
; RS = 13
AC = AB + BC
56 = (x + 16) + (5x + 10)
56 = 6x + 26....then rearrange the equation to form...;
56 - 26 = 6x
30 = 6x...
where...; x = 5
AB = 5 + 16 and BC = 5(5) + 10
;AB = 21 ;BC = 35
Answer:
0.1527
Step-by-step explanation:
Given that a researcher wishes to conduct a study of the color preferences of new car buyers.
Suppose that 50% of this population prefers the color red
15 buyers are randomly selected
Let X be the no of buyers who prefer red.
X has exactly two outcomes red or non red.
Also each buyer is independent of the other
Hence X is binomial with p = 0.5 and n = 15
Required prob =The probability that exactly three-fifths of the buyers would prefer red
= P(X=9)
= 
=