If T is the centroid of ∡MNP, TN = 16, MQ = 23, and RP = 18, find each missing measure.
1 answer:
Answer:
a) QT = 8
b) QN = 24
c) QP = 23
d) MP = 46
e) RT = 6
f) TP = 12
Step-by-step explanation:
Find the diagram attached
If T is the centroid of<MNP, then the following are true;
TN = 2QT
Given TN = 16
16 = 2QT
QT = 16/2
QT = 8
QN = QT + TN
QN = 8 + 16
QN = 24
MQ + QP = MP and MQ = QP
If MQ = 23
QP = 23
Recall that MP = MQ + QP
MP = MQ + MQ
MP = 2MQ
MP = 2(23)
MP = 46
Similarly, TP = 2RT
RT = TP/2
Also RP = RT + TP
RP = RT + 2 RT
RP = 3RT
18 = 3RT
RT = 18/3
RT = 6
Recall that TP = 2RT
TP = 2(6)
TP = 12
You might be interested in
Answer:
b=4
Step-by-step explanation:
So, we have the function . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:
Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).
Now, cross multiply.
Solve for b. Factor using the numbers -4 and -2.
Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.