Answer:
∠DCE≅∠BAE
Step-by-step explanation:
CPCTC is basically used at or near the end of a proof which asks the student to show that two angles or two sides are congruent. Corresponding means they're in the same position in the 2 triangles
two side CE and AE are equivillant in the expression
hence
∠DCE≅∠BAE is right option.
x = 18 (Smaller number)
y = 35 (Larger number)
To solve, begin by setting up a system of equations.
'x' being the smaller number, while
'y' is the larger number.
We can construct the equations:
x + y = 53
3x = y + 19
Rearrange the second equation to equal 'y':
3x - 19 = y
Plug this value of 'y' into the first equation:
x + 3x - 19 = 53
Combine like terms and simplify:
4x - 19 = 53
4x = 72
x = 18
Plug in this value for 'x' into an equation to solve for 'y':
18 + y = 53
y = 35.
48
Area = base x height
Area = 8m x 6m
Area =