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lord [1]
3 years ago
7

Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash.

Mathematics
2 answers:
serg [7]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

Yes, he did because he took out cash.

romanna [79]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

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In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
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The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

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So, we have two equations on x, y and z:

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Substitute 2x + y by 36 from (eq.1) in (eq.2):

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And solve for z:

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The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

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4 0
3 years ago
Read 2 more answers
What is the volume of the sphere?
Eddi Din [679]
V = 4/3 * pi * r^3
V= 4/3 3.14 * 3^3
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