Help please! Complete the proof!

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Since CM is perpendicular to AB, it follows that ∠1 and ∠2 are 90 degrees. Since they both have 90 degree angles, that must mean they are both right triangles.

And since ∠3 = ∠4 and ∠1 = ∠2, then it follows that ∠A = ∠B. (You can show this by showing that they must add up to 180 degrees.)

So since both right triangles have 3 congruent angles to each, then that makes them similar by AAA (angle angle angle).

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$\frac{19}{12}\ pounds$

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Step-by-step explanation:

The correct question is

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$