Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.
(x-22 + x-17 + 3x+19) = 180
Simplify:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide both sides by 5:
x = 40
Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
40 - 22 = 18
Angle A = 18 degrees
Good luck! If you need me to explain anything, just ask :))
-T.B.
Answer:
The answer to your question is letter B
Step-by-step explanation:
Process
1.- Find two points of each line
Line A (-2, 0) (-1, 2)
Line B (-1. - 5) (-6, 0)
2.- Find the slope and equation of each line
Line A
m = 2
y - 0 = 2(x + 2)
y = 2x + 4
Line B
m = -1
y - 0 = -1(x + 6)
y = -x - 6
3.- Find the inequalities
Line A, we are interesteed in the lower area of the line, so the inequality is
y ≤ 2x + 4
Line B, we are also interested in the lower area of the line so the inequality is
y ≥ - x - 6
Answer:
i believe it would be the last option.
Step-by-step explanation:
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
