Answer:
The width of the piece is 11 inches
Step-by-step explanation:
Let
x ----> the length of the rectangular piece of aluminum in inches
y ----> the width of the rectangular piece of aluminum in inches
we know that
The perimeter of the rectangular piece of aluminum is equal to
we have
so
simplify
----> equation A
----> equation B
Solve the system by substitution
substitute equation B in equation A
solve for y
therefore
The width of the piece is 11 inches
Answer:
Triangle ABE and triangle CDE are congruent by using SAS theorem.
Step-by-step explanation:
It is given that e is the midpoint of BD and .
(E is midpoint of BD)
Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.
(Given)
So by using SAS theorem of congruent triangles.
Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.
9514 1404 393
Answer:
P(0, 4), Q(-3, 0)
Step-by-step explanation:
To find the y-coordinate of P, replace x with 0 and solve for y:
3y = 12
y = 4 . . . . . divide by 3
__
To find the x-coordinate of Q, replace y with 0 and solve for x:
-4x = 12
x = -3 . . . . . divide by -4
Then the intercepts are P(0, 4) and Q(-3, 0). The line is drawn through those points for the indicated values of x.
