Tangent always meets radius at 90° angle.
Angle ABC = 90° so Pythagoras' theorem applies.
r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3
you are looking for the hypothisis in this the othher side should be 18 do to its right triangle
Answer:
x = 55
Step-by-step explanation:
Since 2 sides of the triangle are congruent, both 5, then the triangle is isosceles and the 2 base angles are congruent, both x , then
x + x + 70 = 180 ← sum of 3 angles = 180°
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Answer:
The equation of the line is y -24 = -5(x + 6)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-31 - 24)/(5 - -6)
m = (-31 - 24)/(5 + 6)
m = -55/11
m = -5
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 24 = -5(x - -6)
y - 24 = -5(x + 6)