Answer:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
Answer:
A X=6 only
Step-by-step explanation:
Answer:
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
Step-by-step explanation:
Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
Independent events are those events that do not affect each other in any way. Any change in one event will no have a corresponding change to the other one. Therefore, the independent events are:
<span>Roll a number cube, and then roll the same number cube again,
Flip a coin, and then flip the coin a second time.
Draw a card from a deck, replace it, and then draw a second card.</span>
