Answer:
AREA = 4,850
Step-by-step explanation:
split into two pieces
formula for triangles- base x height divided by 2
20 x 50 = 100 / 2 = 50
(130 - 50 = 80)
80 x 120 = 9,600 / 2 = 4,800
add...
4,800 + 50 = 4,850
Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
Answer:
There are 100 pennies in one dollar.
Step-by-step explanation:
there seem to be pictures missing. can you reload the page without losing progress?
Answer:
Dimensions are 8 Inches by 14 inches by 20 inches
Step-by-step explanation:
The volume of the box is 2240. This means:
lbh = 2240
Where b is the width.
Width is two inches less than twice the height
b = 2h - 2
length is 4 inches less than 3 times the height
l = 3h - 4
Substituting these parameters into the lbh equation will yield the following:
h * (3h - 4) * (2h - 2) = 2240
h[6h^2-14h+8] = 2240
6h^3 -14h^2 + 8h - 2240= 0
Solving this cubic equation will yield one of the values to be 8. The other two values are complex numbers.
b = 2h - 2
l = 3h - 4
b = 2(8) - 2 = 14
l = 3(8) - 4 = 20
