Answer:
12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)
13) The graph shows that both angles are congruent so that means:
2x+8= x+22
2x= x+14
x=14
14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)
15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)
16) Angles ADC and FDE are vertical because they are opposite of each other
17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)
Hope this helps! ;)
Answer:
Step-by-step explanation:
So let's think about what values you can take square root of...
anything but negative values!
So the first one is not correct because you can also take square root of 0,
squareroot of 0 is 0.
So because of this, C and D are both correct, E is correct because root x is an increasing function. B is incorrect because (0,0) is an intercept.
Answer:
B. 11/17
Step-by-step explanation:
The total number of marbles in the bag is 34
13 + 9 + 12 = 34
Then you subtract 12 from 34, since you want to know the probability of NOT getting a green marble.
12 - 34 = 22
Then you plug them into the equation:
# of outcomes that satisfy the requirement/ total # of possible outcomes
22/34 = 11/17
Hope this helps!
Think: (distance traveled by faster car) - (distance traveled by slower car) = 35 mi.
Using the formula distance = rate times time, we get for the faster car:
(55 mph)(t)
and for the slower car we get (50 mph)(t), so that
(55 mph)(t) - (50 mph)(t) = 35 mi. This can be simplified as follows:
(5 mph)(t) = 35 mi. Dividing both sides by 5 mph, we get t = (35 mi) / (5 mph).
Then t = 7 hours. The two cars will be 35 miles apart, going in the same direction, after 7 hours.