Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
Answer:
1/16
Step-by-step explanation:
The answer to your question is 2/11
Answer:
y = (-7/3)(x - 9)
Step-by-step explanation:
<em><u>(12, - 7)</u></em>
y = a(x - h)^2
-7 = a(12 - h)^2
- 7 = a(144 - 24x + h^2)
<em><u>(9,0)</u></em>
0 = a(x - h)^2
0 = a(9 - h)^2
0 = a(81 - 18h + h^2)
From (9,0) we can conclude that
a = 0
or
(9 - h)^2 = 0
Let's try the second possibility.
Take the square root of both sides.
9 - h = sqrt(0)
Add h to both sides
9 - h = 0
h = 9
So now what we have is
y = a(x - 9)
Use the first equation to get a
-7 = a(12 - 9)
-7 = a(3)
-7/3 = a
Answer
y = (-7/3)(x - 9)
We know that
if P is the centroid of triangle ABC
so
PD=(1/3)*BD
BD=3*PD-----> BD=3*3-----> BD=9 units
the answer is
BD=9 units
