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
Answer:
The value of x = 38
Step-by-step explanation:
As we know that
The mean of a data set is the sum of the terms divided by the total number of terms.
Using math notation we have:
Mean = (Sum of terms) ÷ (Number of terms)
As
- Sum of terms = -3 + 10 + 22 + x + 28
so mean the equation becomes
Mean = (Sum of terms) ÷ (Number of terms)
19 = (-3+10+22+x+28) ÷ 5
19 × 5 = -3+10+22+x+28
95 = x + 57
x = 95 - 57
= 38
Therefore, the value of x = 38
5,1 -3,7 = 5,867
because when u do your calculation form 5,1 to-3,7 you get 5,867
Answer:
x = 0.38
Step-by-step explanation:
3958x - 2039 = 3405
- 2039 -2039
3958x = 1366
/3958 /3598
x = 0.38
rounded to the nearest hundredth
Use the diamond box method.
x^2 | -6x
10x | -60
-60x^2
10x. -6x
4x
(x-6)(x+10)
x= 6, -10