Answer: 12
Step-by-step explanation:
Given the function :
f(x),
x is defined as the number of questions answered correctly in a certain section.
Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly
The number of correct questions will be :
Compare ;
f(x) = f(12)
Hence ; x = 12 = number of questions answered correctly in the section.
Answer:
(x -2)² +(y +3)² = 6
Step-by-step explanation:
Put the given numbers into the given formula and simplify. h = 2, k = -3.
(x -2)² +(y -(-3))² = (√6)²
(x -2)² +(y +3)² = 6
Line BD and MK are parallel to each other.
<h3>
Answer: C) 142 degrees</h3>
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Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
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Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
----------------------------
The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
Answer:
(96/5) mph, or 19.2 mph
Step-by-step explanation:
Average speed = (total distance traveled) / (total time elapsed)
Here we need to calculate the two elapsed times (going and returning)
Going: t1 = d/(24 mph)
Returning: t2 = d/(16 mph)
Less time is required for the outward bound trip.
16d + 24d
Total time elapsed: t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr
16*24
Thus, the average speed is (total distance traveled) / (total elapsed time)
2d
which here is --------------------- = (96/5) mph, or 19.2 mph
(5/48)d