Answer:
x = 13
39° and 51°
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
This is a right angle triangle, so one side has a size of 90 degrees.
3x + 4x - 1 + 90 = 180
7x + 89 = 180
7x = 91
x = 91/7
x = 13
Put x as 13 to work out the size of the angles.
3(13) = 39
4(13) - 1
52 - 1 = 51
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
If a number has a decimal that is .5+, you round up. If it is .4-, you round down. So 817.502 would be 818.
Answer:
tanI = 
Step-by-step explanation:
We require to calculate GH using Pythagoras' identity in the right triangle.
GH² + GI² = HI²
GH² + 5² = (
)²
GH² + 25 = 95 ( subtract 25 from both sides )
GH² = 70 ( take square root of both sides )
GH = 
Then
tanI = 
= 
=
