4x = 14y
y = 4/14(x)
y = 2/7(x) slope = 2/7
<span>-2x+7y=14
7y = 2x + 14
y = 2/7(x) + 2 slope = 2/7
parallel lines, slope is the same
both lines have slopes equal 2/7
answer
</span><span>parallel</span>
Ray CD cuts angle PCR in half.
PCD = 35 degrees.
So, RCD = PCD or 35 degrees.
It just happens that tan 14 degrees is about 0.25 or 1/4. According to my calculator, it's actaull 0.249.
Now try finding tan 76 degrees to approx. the same level of accuracy.
tan 76 deg = (via calculator) 4.0108. this could be re-written as 4 or 4.1.
9514 1404 393
Answer:
41 13/40
Step-by-step explanation:
Generally, you're told to multiply mixed numbers by converting each to an improper fraction:
5 7/10 = (5·10 +7)/10 = 57/10
7 4/16 = (7·16 +4)/16 = 116/16
The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.

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You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).
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<em>Alternate solution</em>
You can also treat this as the product of two sums. The distributive property is handy for this.
(5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)
= 35 +5/4 +49/10 +7/40
= 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts
= 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator
= 40 +53/40 = 41 13/40