Answer:
C. <3, E. <1
Step-by-step explanation:
A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.
A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.
<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.
The other two interior angles of the triangle are <1 and <3.
<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.
Answer: <1, <3
Answer:
Step-by-step explanation:
Plot that point in the x/y coordinate plane to see that it sits in the third quadrant. From the point, draw a line to the origin, constructing a right triangle. The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:
and
so

That means that
and

That means that
and

It also means that
and

Answer:
area = 21 feet^2
Step-by-step explanation:
Area of a triangle is 1/2(base*height)
1/2(6*7) = area
1/2(42) = area
area = 21 feet^2
5(18-1)-(6+30)
85-36 = 49
Your answer if 49
Since the circumference is 80, you know that the equation used was:

Divide by pi and you'd get d = 25.465
Divide that by 2 to get your radius.
25.465 / 2 = 12.723 = r
The area formula for a circle is

So,

= 508.544 square feet