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DENIUS [597]
3 years ago
10

A shadow 2 meters long is cast by a statue that is 2.1 meters tall. If a stucco column close by casts a shadow 4 meters long, ho

w tall is the stucco column? Please show thought process.
Mathematics
1 answer:
Semenov [28]3 years ago
3 0
The stucco column is 4.2 meters tall.
You have to set up a ratio.    X              2.1           
                                            ----------  =    ----------  
                                                 4               2  
Make sure to keep the heights and shadow equal to each other. then cross multiply (2.1*4) and divide (8.4/2)  
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5/6(2x+12)-8=4-(x+1)
alekssr [168]

For this case we have the following equation:

\frac {5} {6} (2x + 12) -8 = 4- (x + 1)

We apply distributive property on the left side of the equation:

\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)

We simplify the left side of the equation:

\frac {5} {3} x + 10-8 = 4- (x + 1)

Different signs are subtracted and the major sign is placed.

\frac {5} {3} x + 2 = 4- (x + 1)

On the right side we must take into account that:

- * + = -

So:

\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x

We add x to both sides of the equation:

\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3

We subtract 2 from both sides of the equation:

\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1

We multiply by 3 on both sides of the equation:

8x = 3

We divide by 8 on both sides of the equation:

x = \frac {3} {8}

Thus, the solution of the equation is:

x = \frac {3} {8}

Answer:

x = \frac {3} {8}

4 0
3 years ago
Explain why all linear angle pairs must be supplementary, but all supplementary angles do not have to be linear pairs?
dimulka [17.4K]
Two angles are supplementary if their measures sum 180°.

Linear angle pairs are adjacent angles (they are together) and they form a straight angle, which is 180°. Therefore, they are supplementary.

But two angles may be separated and yet add 180°, then they are supplementary but are not linear angle pairs.
4 0
3 years ago
Please help me with this question
Masja [62]
What is your question?
5 0
3 years ago
Solve the system of equations. 2 x − 6 y = 5 x + y = 2 no solution ( 17 8 , − 1 8 )
s2008m [1.1K]

Answer:

it seems you have made a typo

Step-by-step explanation:

5 0
2 years ago
What is the scale factor of the two triangles below?
irina [24]
The correct answer is:  [A]:  " \frac{3}{4} " .
______________________________________________________

<u>Note</u>:  "3/4"  =  "6/8"  =  "15/20" .
______________________________________________________
8 0
2 years ago
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