Answer:
The answer to your question is Area = 40 u²
Step-by-step explanation:
Data
A = (-1, -4)
B = (-1, 6)
C = (3, 6)
D = (3, - 4)
Process
1.- Plot the points to determine the base and the height (see the graph below)
2.- Calculate the distance between A and B and A and D
dAB = ![\sqrt{(-1 + 1)^{2} (-4 - 6)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1%20%2B%201%29%5E%7B2%7D%20%28-4%20-%206%29%5E%7B2%7D%7D)
dAB = ![\sqrt{0 - (10)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B0%20-%20%2810%29%5E%7B2%7D%7D)
dAB = ![\sqrt{100}](https://tex.z-dn.net/?f=%5Csqrt%7B100%7D)
dAB = 10
dAD = ![\sqrt{(-1 - 3)^{2} + (-4 + 4)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1%20-%203%29%5E%7B2%7D%20%2B%20%28-4%20%2B%204%29%5E%7B2%7D%7D)
dAD = ![\sqrt{(-4)^{2} + (0)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4%29%5E%7B2%7D%20%2B%20%280%29%5E%7B2%7D%7D)
dAD = ![\sqrt{16}](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D)
dAD = 4
3.- Calculate the area
Area = base x height
Area = 4 x 10
Area = 40 u²
Answer: A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.
Answer:
16) x=63°
17) x=48°
18) x=82° , y=54°
19) x=20° , y=50°
Step-by-step explanation:
In this problem it just goes left to right, 1-18+25 = -17+25 = 8
(1-18)+25-17+25=8<span>
</span>When you do addition and subtraction they are reversible so you just go left to right
So than this is a triangle so we know that the sum of measure of angles of a triangle is equal 180 degrees
- in this case m<O = 180 -(137+22) = 180 -159 = 21
m<O = 21 degrees