Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
Answer:
109.33
Step-by-step explanation:
given that the population has a distribution with a mean of 110 and a standard deviation of 8
Sample size n = 40
Std error of sample mean = std dev/square root of sample size
= 
From std normal distribution table we find that 30th percentile for Z is
-0.5244
Corresponding x score =
30th percentile = 109.33663
=109.33
Answer:
Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm
Step-by-step explanation:
In triangle Δ XYZ ,
A is the mid point of XY
B is the midpoint of YZ
C is the mid point of XZ
AY = 7
BZ =8
XZ = 18
The mid - point theorem states that,
The segment formed by connecting two mid - points of a triangle is parallel to the third side and half as long
AY = 7 then BC = 7 cm
BZ = 8 then AC = 8 cm
XY = 18 then AB = 9 cm
Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm
Answer:
D: 10 laps in 215 seconds
Step-by-step explanation:
86/4 = 21.5 seconds per lap
I went through and multiplied each lap number by the time per lap and the last one, D is the right answer!
Have an amazing day!
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C is the least that is beause it is .015 which is smaller than 0.15
