Answer:
EG = 41
Step-by-step explanation:
the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is
7x + 9 = 5x + 23 ( subtract 5x from both sides )
2x + 9 = 23 ( subtract 9 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
then
EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41
As two base angles are equal, this is an isosceles triangle and the sides opposite to the equal angles are equal.
7x + 9 = 5x + 23
Subtract 9 from both sides
7x = 5x + 23 - 9
7x = 5x + 14
Subtract 5x from both sides.
7x - 5x = 14
2x = 14
Divide both sides by 2
x = 14/2
EG = 6x - 1
= 6*7 - 1
= 42 - 1
the simplified expression would be 35
700 more caleries
42
Do the math:)
