Answer:
Step-by-step explanation:
Complementary angles form a right angle and supplementary angles form a straight angle.
<h3>#7</h3>
<u>Complementary:</u>
<h3>#8</h3>
<u>Supplementary:</u>
- 2x + 6x + 20 = 180
- 8x = 160
- x = 20
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
Solve for y:
3x = 7y + 21
~Subtract 7y to both sides
3x - 7y = 21
~Subtract 3x to both sides
-7y = 21 - 3x
~Divide -7 to both sides
y = -3 + 3/7x
~Change order
y = 3/7x - 3
Best of Luck!
Answer:
0.9355
Step-by-step explanation:
What we will use here is conditional probability formula.
let A be the event that the plane departs on time
and B be the event that it arrives on time
P(A) = 0.87
P(B|A) = 0.93
P(B) = ?
P(A n B) = ?
Mathematically;
P(B|A) = P(B nA)/P(A)
0.93 = 0.87/P(A)
P(A) = 0.87/0.93
P(A) = 0.935483870967742
which is 0.9355 to four decimal places
