Answer:
which 2 equations
Step-by-step explanation:
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need full information
Answer:
ZM = 8
WM = 12
XZ = 7
XN = 21
LZ = 20
Step-by-step explanation:
The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.
The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.
ZM = (2/3)WM (centroid theorem)
Therefore: WZ = (1/3)WM
WM = 3WZ = 3 * 4 = 12
ZM = (2/3) * WM = 2/3 * 12 = 8
ZN = (2/3)XN (centroid theorem)
XN = (3/2)ZN = 3/2 * 14 = 21
XN = 21
XZ + ZN = XN
XZ + 14 = 21
XZ = 7
LZ = (2/3)LY (centroid theorem)
Therefore: ZY = (1/3)LY
LY = 3ZY = 3 * 10 = 30
LZ = (2/3) * LY = 2/3 * 30 = 20
Y = - 10x + 2
the slope is -10
rise over run
the line is declining 10 units for every one unit to the right
and the line hits the y-axis at + 2 so 2 = b
Answer:
Ace is the next level after expert.
Answer:
∠ 1 = 50°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the 4 angles of the polygon and equate to 540°
let the unknown interior angle be x
x + 100° + 120° + 100° + 90° = 540° , that is
x + 410° = 130°
∠ 1 and x are adjacent angles on a straight line and sum to 180° , so
∠ 1 = 180° - 130° = 50°