3 years ago

If j // l, m<1 = 135, m<2 = 55, and m<3 = 45, list all other parallel lines. Justify your answers. Show work if any.

Mathematics

1 answer:

sergejj [24]3 years ago

3 0

Answer:

Step-by-step explanation:

The supplement to ∠1 = 180°-135° = 45° = ∠3, so m is parallel to j and l.

∠2 ≠ 45° and ∠2 ≠ 135°, so k is not parallel to j, l, or m.

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3 years ago

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A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,40). What are the coordinates

natulia [17]

Answer:

(40,0)

Step-by-step explanation:

A rotation of 270 degrees° counterclockwise about the origin has the rule

$(x,y)\rightarrow (y,-x)$

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3 years ago

Perform the indicated operation. Be sure the answer is reduced.

Morgarella [4.7K]

The answer is: $k^{2} /2
$
The explanation is shown below:
1. You have the following expression given in the exercise above:
$( 4k^{2}) /(2k+3)(2 k^{2} -5k-12)/(8k-32)
$
2. By applying the distributive property, you obtain:
$(8k^{4}-20k^{3}-48k)/(16k^{2} -40k-96)$
3. Now, you must factor $k^{2}$ in the numerator and $2
$ in the denominator:
$k^{2}(8 k^{2} -20k-48)/2(8 k^{2} -20k-48)$
4. Simplify:
$k^{2} /2$