Find the slope of the line through the pair of points. (13, 5) and (3,5)

Mathematics

1 answer:

Ronch [10]3 years ago

8 0

Answer: 0

Step-by-step explanation:

So the slope of a line is equal to rise over run, or the change in x over the change in y. We can solve for the change in x and the change in y by finding their differences. For the math, we use the formulas y2 - y1/x2 - x1. Filling in this formula we get, (5-5)/(3-13), which is equal to 0/10. Because 0 divided by anything is 0, the answer here is 0.

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What is the unit value the 3 in 432 ?

lara [203]

Answer:
It represent the tens of the number, therefore, it's unit value is 30

Explanation:
The place value chart is added in the attached image.

Checking this chart, we would find that:
first digit from the right is the units of the number
second digit from the right is the tens of the number
third digit from the right is the hundreds of the number

Comparing this with the nuber given, we would find that the 3 is in the tens position. Therefore, it unit value is 30.

Another way to answer this is by breaking the number given as follows:
432 = 400 + 30 + 2
We can note that the unit value of the 3 is 30

Hope this helps :)

8 0

3 years ago

Based only on the information given in the diagram, which congruence

romanna [79]

<h3>1 Answer: Choice D) SAS</h3>

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Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

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HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

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AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

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We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

ED = LK (double tickmarks)
DF = KM (single tickmarks)

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

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Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

8 0

3 years ago

19−6(−k+4) Simplify to create an equivalent expression

almond37 [142]

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