Answer:
x = 3
Step-by-step explanation:
Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )
12x + 20 = 7x + 35 ( subtract 7x from both sides )
5x + 20 = 35 ( subtract 20 from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
His total sales were "x"
now, we know that 3.5% of "x" plus 5% of "x", will add up to his total commission, including sales of 6500 or less or more
so the commission for 6500 or less, is 3.5% of "x" or (3.5/100)*x -> 0.035x
the commission for above 6500 is 5% or (5/100) * x --> 0.05x
we know, that both commissions added together, are $415
thus
0.035x + 0.05x = 415 <----- solve for "x"
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation: