Answer:
x=-16
Step-by-step explanation:
6x+12=4x-20
2x=-32
x=-16
Step-by-step explanation:
Let the length of the bridge be x
Since, triangles ADF and BCF are similar, ratio of their corresponding sides are equal.
Therefore,
60 / 144 = 40 / x
X (length of the bridge) = <u>96 m</u>
Answer:
Infinite solutions
Step-by-step explanation:
1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.
2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.
Since 88 has no decimal, you would but a zero behind it and then subtract. You have to borrow from the 8 (make it a 7) and make zero 10. Then subtract. 10-7=3, 7-3=4, 8-4=4. Your answer will be 44.3
Since the base is a regular quadrilateral, each of its 4 sides must have length
s = P/4
s = (60 cm)/4 = 15 cm
The area of one lateral face is the product of side length and height.
A = s×h
105 cm² = (15 cm)×h
Then the height of the prism is
h = (105 cm²)/(15 cm) = 7 cm
The area of the base is then
B = s²
B = (15 cm)² = 225 cm²
The volume of the prism is the product of its base area and height.
V = Bh
V = (225 cm²)×(7 cm) = 1575 cm³
The volume is 1575 cm³.
