<h3><em><A = <B ( alt. interior angle )</em></h3><h3><em>8x - 10 = 3x + 90 </em></h3><h3><em>8x - 3x = 90 + 10 </em></h3><h3><em>5x = 100</em></h3><h3><em>x = 100/5</em></h3><h3><em>x = 20 </em></h3><h3><em><B = 3x + 90</em></h3><h3><em><B = 3 x 20 + 90</em></h3><h3><em><B = 150</em></h3><h3><em>HOPE IT HELPS !!!!</em></h3>
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
Finding the slope between two points




As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:

Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Answer:
<h2>
d = 8.9</h2>
Step-by-step explanation:

Answer:
We have sinθ = 12/13
The method here is to figure out the value of θ
Using a calculator sin^(-1)(12/13) =67.38°
67.38° is in quadrant 1 so we must substract 67.38° from 180° wich is π
- 180-67.38= 112.61° ⇒ θ= 112.61°
Now time to calculate cos2θ and cosθ using a calculator
- cosθ = -5/13
- cos2θ = -0.7
The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3