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Tpy6a [65]
3 years ago
8

Help ASAP with these

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Answer:

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Step-by-step explanation:

Given:

AD ≅ BC and AD || BC

To Prove:

ABCD is a Parallelogram

Proof:

Alternate Interior Angles Theorem :

"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Here AD || BC and the transversal is AC

  Statement               Reasons

1. AD ≅ BC  .           1. Given

2. AD || BC              2. Given

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

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⦁ Use both methods to find the distance between the points on the number line.
Vitek1552 [10]

Answer:

4 and 4

Step-by-step explanation:

Method A

1) Method A: Let 2 be the starting point and -2, the finishing one. Counting between 2 and -2, we can count a distance of 4 units. That's the simplest way, but not convenient to great numbers on the Number Line.

Method B:

There is no such thing as a negative distance, as a physical quantity. So this is the reason why we need to compute the absolute value of two numbers, which is simply what was done on Method B.

|2-(-2)|=|4|=4

As we are dealing with absolute values, the order is not relevant after all, the result remains the same. Take a look:

|-2-2|=|-4|=4

That's why the greater (2) or the lesser number (-2) can be the subtrahend (in bold within the brackets.

3 0
2 years ago
A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
timurjin [86]

Answer:

n = -4

Step-by-step explanation:

Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".

Let me show you:

n ÷ 2 = -2

if you know your integer math, you should know that...

-4 ÷2 = -2 (this is the correct equation)

8 0
1 year ago
7(2 + 6 – 4d) = pl help me I don’t get it
Svetach [21]

Answer:

Step-by-step explanation:

1. 1 Simplify  2+6-4d to  -4d+8.

7 ( -4d + 8)

therefor, the answer is, 7( -4d + 8)

7 0
3 years ago
Read 2 more answers
Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy s
dmitriy555 [2]
At least 14 economy and at least 5 deluxe...total of 45 seats. He makes a bigger profit from selling economy seats....so we need the most economy seats we can get.

45 seats - 5 deluxe = 40 economy

so the most profit would be 40 economy and 5 deluxe
40 economy = (40 x 30) = 1200 profit
5 deluxe = (5 x 25) = 125 profit
for a maximum profit of : $ 1325
5 0
3 years ago
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
grigory [225]
<span>A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

</span><span>A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
</span>
<span>A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

</span><span>
</span>
5 0
3 years ago
Read 2 more answers
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