LCD of 1/15 and 9/10

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

5 0

The LCD of the 2 fractions is 30 by multiplying the first fraction by 2 and the second fraction by 3 for example:

1/15 x 2/2 = 2/30

9/10 x 3/3 = 27/30

Which these 2 fraction equals up to 29/30 Hope this helps my dude ^^

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inessss [21]

Answer:

The first one is missing (d - 9) so it would be 5(d -9) or when you factor it out 5d - 45

In the second one (d + 7) is missing so it will be 8d(d + 7) so if you factor that out you will receive 8d^2 + 56

Step-by-step explanation:

3d^2 + 18d -21 =(3d -3)( d + 7)

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What is the slope of a line perpendicular to y = -7/4x?

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A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
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3 years ago

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Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

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By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.