Answer:
The original dimensions of the piece of metal are
Length: 36 inches
Width: 21 inches
Step-by-step explanation:
Let
x ----> the original length pf the piece of metal
y ----> the original width pf the piece of metal
we know that
----> equation A
The volume of the box is equal to
we have
substitute in the formula of volume
----> equation B
substitute equation A in equation B
solve for y
Solve the quadratic equation by graphing
using a graphing tool
The solution is y=21
Find the value of x
therefore
The original dimensions of the piece of metal are
Length: 36 inches
Width: 21 inches
2x-y=12
-y=12-2x
(-y=12-2x)devide -1
y = -12+2x
y=2x-12
ANSWER = C
Answer:
the answer is triangles ABC and DEC are similar
Step-by-step explanation:
angle C is a common angle for both triangles
angle D is equal to angle A ( corresponding angles)since they are parallel
angle B is also equal to angle B for the same reason as angle D and A
since the three angles of the two angles are equal they are similar
Since ZY bisects GE and XY bisects EF, and both ZY and XY both bisect GF, then XY ~ ZE and ZY ~ XE.
Therefore ZE = XY = 5
And GE = 2× ZE (because bisected segments are = and therefore ×2 = long segment).
So GE = 2ZE = 2×5 = 10
