When constructing parallel lines with a compass and straight edge how should you start construction

1 answer:

8 0

Draw two lines that never intersects and those are parallel line. A compass and straightedge helps you make the lines straight.

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Frankie factored the expression ls 14m + 21pm - 35mq as 7(2m + 3pm - 5mq) . She thinks she has factored out the greatest common

shtirl [24]

Answer:

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

Step-by-step explanation:

If a variable is common to all terms of an expression, it can be factored.

14m + 21pm - 35mq

Here, m is common to all terms of the expression, so the factored expression is:

$7m(\frac{14m}{7m} + \frac{21pm}{7m} - \frac{35mq}{7m}) = 7m(2 + 3p - 5q)$

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

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Denver, Colorado is called "The Mile High City" because its elevation is 5280 feet above sea level. The elevation of Death Valle

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2 and 1/4 + 2 and 1/5 + 3 and 5/8

love history [14]

Answer:

$7 \frac{23}{40}$

Step-by-step explanation:

2 and 1/4 + 2 and 1/5 + 3 and 5/8

$= 2 \frac{1}{4} + 2 \frac{1}{5} + 3 \frac{1}{8} \\ \\ = \frac{2 \times 4 + 1}{4} + \frac{2 \times 5 + 1}{5} + \frac{3 \times 8 + 1}{8} \\ \\ = \frac{8 + 1}{4} + \frac{10 + 1}{5} + \frac{24 + 1}{8} \\ \\ = \frac{9}{4} + \frac{11}{5} + \frac{25}{8} \\\\(lcm \: of \: 4, \: 5, \: 8 \: = 40) \\ \\ = \frac{9 \times 10}{4 \times 10} + \frac{11 \times 8}{5 \times 8} + \frac{25 \times 5}{8 \times 5} \\ \\ = \frac{90}{40} + \frac{88}{40} + \frac{125}{40} \\ \\ = \frac{90 + 88 + 125}{40} \\ \\ = \frac{303}{40} \\ \\ = 7 \frac{23}{40}$

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