22x
It’s the same as 12 plus 10
Answer:
x = 26
Step-by-step explanation:
The parallel lines are Line l and Line m. The other line shown is the transversal.
When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.
The angle "5x + 7" is equal to the angle "8x - 71" since they are <em><u>alternate exterior angles.</u></em>
<em><u /></em>
So, we can equate both expressions and use algebra to solve for "x". The process is shown below:
Hence,
the value of x is 26
The arrangement of the Eastern and Western lighthouses and the position of the boat are as shown in the attached diagram.
Using sine rule,
28/Sin 37 = 40/Sin B => Sin B = (40 Sin 37)/28 = 0.8597 => B = Sin ^-1(0.8597) = 59.287°
Therefore,
Angle E = 180 - (37+59.287) = 83.713°
Using the sine rule again;
BW/Sin E = 28/Sin 37 => BW = (28 Sin 83.713)/Sin 37 = 46.246 ≈ 46.27 miles.
The boat is 46.27 miles from the western lighthouse. The correct answer is A.
Since each side is r times the side of ABC, then 30*r+40*r+60*r is the perimeter, which equals 130r (by separating it into r*(30+40+60) using the distributive property)