Answer:
10/12 +4/3b
Step-by-step explanation:
Answer:
5.543 miles
Step-by-step explanation:
The law of cosines can help with this. It relates side "c" of a triangle to the other two sides (a, b) and the angle between them (C).
c² = a² +b² -2ab·cos(C)
c² = 3² + 3² -2·3·3·cos(135°) = 18(1 -cos(135°)) ≈ 30.7279
c ≈ √30.7279 ≈ 5.543 . . . . miles
QN = 28
Solution:
Given MNPQ is a parallelogram.
QT = 4x + 6 and TN = 5x + 4
To find the length of QN:
Let us solve it using the property of parallelogram.
Property of Parallelogram:
Diagonals of the parallelogram bisect each other.
Therefore, QT = TN
⇒ 4x + 6 = 5x + 4
Arrange like terms together.
⇒ 6 – 4 = 5x – 4x
⇒ 2 = x
⇒ x = 2
Substitute x = 2 in QT and TN
QT = 4(2) + 6 = 14
TN = 5(2) + 4 = 14
QN = QT + TN
= 14 + 14
QN = 28
The length of QN is 28.