We are given that
line(l) and line(m) are parallel to each other
and we have to find m< 4
we can see that m<3 and m<4 forms linear pair
since, they form linear pair
so, the sum of both angles must be 180°
so, we can write as
m<3 +m<4=180°
we are given
m<3=50°
now, we can plug it
50°+m<4=180°
now, we can solve for m<4
and we get
50°+m<4-50°=180°-50°
m<4=130°......................Answer
Answer:
Step-by-step explanation:
area = Area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of triangle
=5 * 12 + 5*5 + 2*3 + (1/2)* 4 * 3
= 60 + 25 + 6 +6
= 97
Answer: See explanation
Step-by-step explanation:
PRINCETON:
December - 50
January - 40
Decrease = 50 - 40 = 10
Percentage Decrease = Decrease/Original value × 100
= 10/50 × 100
= 20%
2) WORCESTER:
December - 256
January - 197
Decrease = 256 - 197 = 59
Percentage Decrease = Decrease/Original value × 100
= 59/256 × 100
= 23.05%
3) CHICAGO:
December - 7050
January - 6708
Decrease = 7050 - 6708 = 342
Percentage Decrease = Decrease/Original value × 100
= 342/7050 × 100
= 4.85%
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = ![\frac{1}{2}\text{AB}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctext%7BAB%7D)
(2x + 13) = ![\frac{1}{2}(13x-37)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2813x-37%29)
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27