Answer:
12.5%
Step-by-step explanation:
Subtract 48 from 54 to find the change in the height:
54 - 48 = 6
Divide 6 by 48 to find the change in percent:
6 / 48 = 0.125 --> 12.5%
Answer:
- 9, - 5, - 1
Step-by-step explanation:
Calculate the mean of 3 and - 13, that is
=
= - 5
That is
- 13, - 5, 3
Now find the mean of - 13 and - 5, and - 5 and 3
=
= - 9
=
= - 1
Thus
- 13, - 9, - 5, - 1, 3
Answer:
100
Step-by-step explanation:
Answer:
JK = 83 , m∠A = 70° , m∠ALM = 110°
Step-by-step explanation:
* Lets explain how to solve the problem
∵ ABCD is a trapezoid
∴ DC // AB
∴ m∠D + m∠A = 180° ⇒ interior supplementary angles
∵ m∠D = 110°
∴ 110° + m∠A = 180° ⇒ subtract 110° from both sides
∴ m∠A = 70°
∵ L is the midpoint of AD, and M is the midpoint of BC
∴ LM is the median of trapezoid ABCD
∴ LM // AB and DC
∴ m∠D = m∠ALM ⇒ corresponding angles
∵ m∠D = 110°
∴ m∠ ALM = 110°
- The length of the median is half the sum of the lengths of the two
parallel bases
∴ LM = 1/2 (AB + DC)
∵ AB = 96 units and DC = 44 units
∴ LM = 1/2 (96 + 44) = 1/2 (140) = 70 units
- In the quadrilateral ABML
∵ AB // LM
∵ AL ≠ BM
∴ ABML is a trapezoid
∵ JK is its median
∴ JK = 1/2 (AB + LM)
∵ AB = 96 units ⇒ given
∵ LM = 70 units ⇒ proved
∴ JK = 1/2 (96 + 70) = 1/2 (166) = 83
∴ JK = 83 units
Solve for n.