Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
Answer:
6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.
7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.
9) x = 20
m < A = 65
m < B = 25
Step-by-step explanation:
9)
3x + 5 + 2x - 15 = 90
3x + 2x + 5 - 15 = 90
5x - 10 = 90
5x - 10 + 10 = 90 + 10
5x = 100
5 / 5x = 100 / 5
x = 20
A = 3x + 5
A = 3(20) + 5
A = 60 + 5
A = 65
B = 2x - 15
B = 2(20) - 15
B = 40 - 15
B = 25
33 is the answer to that question
Answer:
y = mx + 1/2
Step-by-step explanation:
(x,y)
- Plot each point on a graph
- The line should go from the bottom left (-6,-10) to the top right (1,4)
- Count how many spaces are on the y-axis from -6 to 1 for numerator
- Count how many spaces are on the x-axis from -10 to 4 for denominator
- Positive slope
- Slope = 7/14
- Simplify to 1/2
