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yawa3891 [41]
3 years ago
11

Help please don’t understand

Mathematics
1 answer:
fomenos3 years ago
3 0
Givens
======
b = 13
h = 9
Area = b*h
Area = 13*9 = 117 square in

Trapezoid
========
Givens 
b1=9
b2 = 15
h = 14
Area = (b1 + b2)*h/2
Area = (9 + 15)* 14/2
Area = 24 * 14 / 2
Area = 336/2
Area = 168 square inches.

Rhombus
=======
I can't see the second number I'll make one up. Redo the questioin and put a the number in
Area = 1/2 * d1 * d2
d1 = 18
d2 = 12 substitute what it really says here.
Area = 1/2 * 18 * 12
Area = 108
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The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
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You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

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<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

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