If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal so the word would be ratio

3 0

2 years ago

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What is the answer to 9+3/4x=7/8x-10

kolezko [41]

$9+ \frac{3}{4} x = \frac{7}{8} x-10 \ \ \ \ \ /\cdot8 \\ 72+6x=7x-80 \\ -x=-152 \\ x=152$

4 0

2 years ago

At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in

myrzilka [38]

Answer:

Each small candleholder holds 3 candles, and each large one holds 5 candles.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of candles that a small candleholder holds.

y is the number of candles that a large candleholder holds.

24 small candle holders and 3 large candle holders, using a total of 87 candles.

This means that

$24x + 3y = 87$

Simplifying by 3

$8x + y = 29$

$y = 29 - 8x$

14 small candle holders and 7 large candle holders, for a total of 77 candles.

This means that $14x + 7y = 77$

Simplifying by 7

$2x + y = 11$

$y = 11 - 2x$

Since $y = 29 - 8x$

$11 - 2x = 29 - 8x$

$6x = 18$

$x = \frac{18}{6}$

$x = 3$

$y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5$

Each small candleholder holds 3 candles, and each large one holds 5 candles.

5 0

1 year ago