If triangle ABC is congruent to triangle DEF, then line AB is congruent to line DE by CPCTC (Corresponding Parts of Congruent Triangles are Congruent).
Answer:
a. 21x-2
b. -28x-2
c. 7b-35x-2
Step-by-step explanation:
a. f(3)
7(3x)-2
21x-2
b. f(-4)
7(-4x)-2
-28x-2
c. f(b-5)
7(b-5x)-2
7b-35x-2
In a parallelogram the two angles on the same side need to equal 180 degrees. So in the picture angle F and angle G need to equal 180:
Add them together:
7x -5 + 3x-15 = 180
Simplify by combining like terms:
10x -20 = 180
Add 20 to both sides:
10x = 200
Divide both sides by 10:
X = 20
Now you know x, replace x in the angle for g and solve:
G= 7x-5 = 7(20) -5 = 140-5 = 135
G = 135 degrees.
In a parallelogram the top and bottom are the same length, so set the two to equal each other and solve for y:
3y = y + 8
Subtract y from both sides:
2y = 8
Divide both sides by 2:
Y = 4
Now replace y and solve for EF:
EF = 3y = 3(4) = 12
EF = 12
