Triangle mpr triangle nad by aa
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
<span><span>K = k + 13</span><span>78</span></span>
Cross multiply:
K * 8 = 7 * k + 13
Simplifying
K * 8 = 7 * k + 13
Reorder the terms for easier multiplication:
8K = 7 * k + 13
Reorder the terms:
8K = 7 * 13 + k
8K = 13 * 7 + k * 7
8K = 91 + 7k
Solving
8K = 91 + 7k
Solving for variable 'K'.
Move all terms containing K to the left, all other terms to the right.
Divide each side by '8'.
K = 11.375 + 0.875k
Simplifying
K = 11.375 + 0.875k
there it was hard but i got it
Answer:
-16
Step-by-step explanation:
-16... using d = b²-4ac
Answer:
X less than 10
Step-by-step explanation:
The problem is set up 2x - 8 < 12. Add 8 to both sides to get 2x <20. Divide by 2 to get x < 10