Answer:
Option (D)
Step-by-step explanation:
Length of the bar EG = 1.6x
If F is a point on the bar such that,
EF + FG = EG
Measure of segment EF = 6
Measure of FG = x
By substituting measures of each side,
6 + x = 1.6x
1.6x - x = 6
0.6x = 6
x = 10
Length of EG = x + 6
= 10 + 6
= 16 units
Option (D) will be the correct option.
Answer:
the second choice
Step-by-step explanation:
Answer:
∠ 2 = 140°
Step-by-step explanation:
the left base angle in the triangle and 110° are a linear pair and sum to 180°
base angle + 110° = 180° ( subtract 110° from both sides )
base angle = 70°
the 2 sides of the triangle are congruent so Δ is isosceles with base angles congruent.
the vertex of the Δ is then
(180 - 70 - 70)° = 180° - 140° = 40°
the vertex and ∠ 2 are a linear pair and sum to 180° , that is
∠ 2 + 40° = 180° ( subtract 40° from both sides )
∠ 2 = 140°