Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle , that is
3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )
= 11x + 3
Given the perimeter = 36 units , then
11x + 3 = 36 ( subtract 3 from both sides )
11x = 33 ( divide both sides by 11 )
x = 3
Then
base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units
height = 3x = 3(3) = 9 units
hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units
We have the next two equations:
And
We need to find f(3)/g(3)
First, let's find f(3):
Then g(3):
Now, the equation f(3)/g(3) :
-27/11 is the result.
The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)
To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1
To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2
ANSWER
The midpoint is (1,2)
Step-by-step explanation:
part 1 : explaining how to get the coordinates of B
part 2 : the gradient of BD
Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
