Can someone help me with this two column proofs? -this one is confusing to me

Mathematics

1 answer:

Shalnov [3]3 years ago

6 0

Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.

In your case, we have that every point lying on AC has the same distance from B and D.

So, in particular, we have EB=ED, because E lies on AC.

Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.

This means that triangles ABE and ADE have:

AD=AB because ABD is isosceles
EB=ED because AC is the perpendicular bisector of BD
AE in common

So, their sides are all equal, and thus they are congruent.

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each month luke earns a salary of 3500 plus 15%at the total ampount of his sales for the month luke earned 4760 in march .what w

sineoko [7]

Hey. Let me help you on this one.

In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.

I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.

We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.

$4760-3500=1260$

Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.

Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.

$\frac{1260}{15} =84$

Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.

$84*100=8400$

Awesome. We now know the amount of sales in dollars that Luke has brought to the company.

Answer: Total amount of Luke's sales in dollars is $8400