Answer:
1. D
2. B
3. A
4. C
Step-by-step explanation:
1. Vertical angles are a pair of opposite angles formed by the intersection of lines. Choice D has two lines intersecting, and two opposite angles formed by it.
2. Adjacent angles are two angles that have a common vertex and common side but do not overlap. Choice B is two angles with a common vertex and common side, and they don't overlap.
3. Supplementary angles are angles that add up to 180 degrees/make a straight angle. Choice A has two angles that add up to 180 degrees, and the two angles combined make a straight angle/line.
4. Two angles are called complementary angles if they add up to 90 degrees and form a right angle. Choice C has two angles that form a right triangle, meaning it adds up to 90 degrees.
To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1
In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)
Now we can use the point-slope formula:
y - y1 = m(x - x1)
y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3
In order to make 3x - y = 6 in slope intercept form, we must isolate y.
- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6
Answer:
6983/1000 OR 6.983
Step-by-step explanation:
6*1=6
9*1/10=9/10
8*1/100=8/100
3*1/1000=3/1000
6+9/10+8/100+3/1000=6983/1000
OR
6.983
The building that I would imagine would be 40 stories, about 404 feet tall perhaps. If he were to throw the donut from that distance until the ground, catching it would be impossible. So no, I am not confident in catching the donut all the way there.
