Y can be found by setting the 3 angles in the bottom triangle equal to 180 degrees like so:
45 + 55 + y = 180
100 + y = 180 (Simplify)
y = 80 (Subtract 100 from both sides)
Angles x and y are opposite angles, so they are equal to each other. This means that x = 80 degrees also.
I believe it is A. hope this helps
Given that line p has a slope of 8 and y-intercept at (0,5)
Given this follows a straight line equation of the form y=ax+b where a is the slope and b is the y-intercept then the equation for p is:
y=8x+5
After dilating p with scale factor 3, then the new line will be:
P=24x+15
thus the slope=24 and y-intercept is (0,15)
Magnitude of the net displacement: 7.0 miles
Step-by-step explanation:
In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.
Taking x as positive x direction and y as positive north direction:
- The first motion is 3 miles due east, so
- The second motion is 5 miles at 
east of north, so:
So the components of the net displacement are
And so the magnitude of the net displacement is
So, he is 7.0 miles far from the house.
Learn more about distance and displacement:
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The box has volume
11 in × 3 in × <em>x</em> in = 33<em>x</em> in³
and surface area
2 (11 in × 3 in + 11 in × <em>x</em> in + 3 in × <em>x</em> in) = (66 + 28<em>x</em>) in²
The volume and area have the same value if
33<em>x</em> = 66 + 28<em>x</em>
Solve this equation for <em>x</em> :
33<em>x</em> - 28<em>x</em> = 66
5<em>x</em> = 66
<em>x</em> = 66/5 = 13.2
