DeMarco works in a clothing store. He earns a base salary plus 18% commission on his sales.
1 answer:
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Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write
Hence then value of x=-1.
We can employ some logic to reduce the answers we need to test. We know that the slope perpendicular to line l has to have a negative reciprocal slope, so a slope of. We see that in A and C, as x increases so does y. That means the slope of these equations are positive, which we don't want. Now for some algebra:
We se that D has the correct slope so that must be the answer.
<span>Given:
AB = x + 16
BC = 4x + 11
AC= 77
We can safely assume that,
AB + BC = AC
x + 16 + 4x + 11 = 77
5x + 27 = 77
5x = 77 - 27
5x = 50
x = </span>
x = 10
Hence,
AB = x + 16 = 10 + 16 = 26
Hence, proved.
AB = x + 16
BC = 4x + 11
AC= 77
We can safely assume that,
AB + BC = AC
x + 16 + 4x + 11 = 77
5x + 27 = 77
5x = 77 - 27
5x = 50
x = </span>
x = 10
Hence,
AB = x + 16 = 10 + 16 = 26
Hence, proved.