Answer:
x = 75
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for x
x = 180° - (60 + 45)° = 180 - 105° = 75°
Answer:
[12, 15]
Step-by-step explanation:
{6x + 5y = 147
{8x + 4y = 156
-¾[8x + 4y = 156]
{6x + 5y = 147
{-6x - 3y = -117 ← New Equation
________________
2y = 30
___ ___
2 2
y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x
So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.
I am joyous to assist you anytime.
Answer:
41.75
Step-by-step explanation:
<h2><em>Hope this helps and have a nice day :)</em></h2>
I think holding steady I’m not sure!
Answer:
(C)18 units
Step-by-step explanation:
- Point G is the centroid of triangle ABC.
- C is a vertex of the triangle
- D is the midpoint of the side opposite the vertex.
From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.
Therefore:
CG=2DG
Let the length of segment DG =x
The length of segment CG is 6 units greater, therefore: CG=x+6
Substituting into CG=2DG:
x+6=2x
2x-x=6
x=6 Units
Therefore:
CD=CG+GD
=6+6+6
=18 Units
<u><em>The correct option is C.</em></u>
