Answer: The possible rational roots are
±
1
,
±2
,
±
4
,
±
5
,
±
10
,
±
20
. The rational roots are
x
=
−
2
,
x
=
2
,
x
=
5
.
Answer:
angle a + 40 = 180 (linear pair)
a = 180- 40
a = 140
Answer:
KM=9
JK= 12.69
Angle JKM=45 degrees
ML=18.97
MKL=60 degrees
Angle L=30 degrees
Step-by-step explanation:
Triangle JKM is a 45, 45, 90 degree triangle so that means both side lengths are equal and the hypotenuse is square root of 2 times a side length. This means, KM will be equal to 9 and JK will be equal to 9 times square root of 2. For triangle KML, you know that the triangle is a 30,60,90 degree triangle. This means the hypotenuse is a^2+b^2=c^2 where c is the hypotenuse. Since you know that a is 9 and c is 21, plug them into the equation to get 81+b^2=441. Subtract 81 from both sides to isolate b^2 to get 360. b^2 = 360. Then find the square root of 360 which is about 18.97. Therefore, b or ML is equal to 18.97. Also, because we know that MKL is a 30, 60, 90 triangle, we know that angle MKL is equal to 60 degrees. Because we know the angles of MKL(60) and KML (90), we do 180-90-60 to find angle L. Simplify 180-90-60 to 30 and that means that angle L is equal to 30 degrees. Since we know that JKM is a 45, 45, 90 degree triangle, we know that JKM is equal to 45 degrees. Therefore, KM is equal to 9, JK is equal to 9 times square root of 2 or 9 times 1.41 which is 12.69. Angle JKM is 45 degrees, ML is 18.97, angle MKL is 60 degrees, and angle L is 30 degrees.
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Answer:
what is the rest of the qustion
Step-by-step explanation:
Ascending order :-
10.5 , 11 , 11.5 , 14.5 , 17 , 17 , 18 , 19
Median,
={(n/2)th + (n/2 +1)th}/2
={(4)th + (5)th}/2
=(31.5)/2
=15.75
I.Q.R.,
Median of lower half,
={(n/2)th + (n/2 +1)th}/2
={(2)th + (3)th}/2
=(22.5)/2
= 11.25
Median of upper half,
={(n/2)th + (n/2 +1)th}/2
={(2)th + (3)th}/2
=35/2
=17.5
I.Q.R. = 17.5 - 11.25 = 6.25
HOPE THIS WILL HELP YOU
