Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
You got to shade five squares
<h3>
Answer: B. 781.6 feet approximately</h3>
=======================================================
Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
