Answer:
???????
Step-by-step explanation:
triangles add to 180 degrees
lets call the unknown angle y
82 + x + y = 180
we also know that y + (2x-20 ) = 180 because it is a straight line
lets solve this for y
y + (2x-20 ) = 180
subtract (2x-20) from each side
y = 180 - (2x-20)
y = 180 - 2x + 20
y = 200 -2x
substitute this in the triangle equation
82 + x + y = 180
82 + x + 200 -2x = 180
combine like terms
282 -x = 180
subtract 282 from each side
-x = -102
multiply by -1 on each side
x = 102
the exterior angle is 2x-20
exterior angle is 2(102) -20
exterior angle is 204-20
exterior angle is 184
This is impossible.
There is a mistake with this problem
The triangle is not a triangle. Angle y would be negative. y=-4
Answer:
x = - 4
Step-by-step explanation:
Given
- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )
x² + 8x + 16 = 0 ← this is a perfect square
(x + 4)² = 0 ( take the square root of both sides )
x + 4 = 0 ( subtract 4 from both sides )
x = - 4
Answer:
20
Step-by-step explanation:
y=kx
X=2 & y= 10
10=2k
k=5
when y=100
100=5x
X=20
Area = ab Sin O
= (63)(76) Sin 63 degrees
= 4266 square cm.
