Question

The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.a.
`(2a)/(h) - b_2 = b_1`

b.
`(a)/(2h) - b_2 = b_1`
c.
`(2a - b_2)/(h) = b_1`
d.
`(2a)/(b_1 + b_2) = h`
e.
`(a)/(2(b_1 + b_1)) = h`

Answer 1

i know this was months ago but ill do this to help other people :)

Explanation:

Answer 2

The equivalent equations to the trapezoid area formula
`\( a = (1)/(2) (b_1 + b_2)h \)` are
`\( (2a)/(h) - b_2 = b_1 \)` and
`\( (2a)/(b_1 + b_2) = h \)`, expressing the relationship between area, height, and base lengths.

The trapezoid area formula
`\( a = (1)/(2) (b_1 + b_2)h \)` describes the area a in terms of height h, and base lengths
`\(b_1\) and \(b_2\)`. The equivalent equations are:

a.
`\( (2a)/(h) - b_2 = b_1 \)` - Represents a valid rearrangement of the formula.

d.
`\( (2a)/(b_1 + b_2) = h \)` - Expresses height h in terms of area
`\(a\), \(b_1\), and \(b_2\)`.

These equations are equivalent to the given trapezoid area formula, providing alternate ways to express the relationship between area, height, and base lengths.