Answer:
D
Step-by-step explanation:
Since x is the measure of the third angle and all 3 angles are congruent then
All 3 angles have a measure of x
The sum of the 3 angles in a triangle = 180°, this
x + x + x = 180 ← is the required equation
3x = 180 ( divide both sides by 3 )
x = 60
Answer:
-16x + 14 or 2(7-8x)
Step-by-step explanation:
= 2(x + 7) – 18x
= 2x + 14 -18x
= -16x + 14
or
= 2(7-8x)
Answer:
6
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.
