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vodka [1.7K]
3 years ago
9

Which triangle is congruent to PQR?

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
DEF is congruent to PQR because they have the same shape and also if you do reflection over x axis it would be DEF
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For a sequence an=3/n(n+1) what is the value of a 10
FrozenT [24]

Answer:

\large\boxed{a_{10}=\dfrac{3}{110}}

Step-by-step explanation:

Put <em>n = 10</em> to the equation a_n=\dfrac{3}{n(n+1)}

a_{10}=\dfrac{3}{10(10+1)}=\dfrac{3}{10(11)}=\dfrac{3}{110}

3 0
3 years ago
Read 2 more answers
Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p
OlgaM077 [116]

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

y=a\cdot (1-r\%)^{t}

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

y=a\cdot (1-r\%)^{t}

  =50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85

Thus, the correct option is, Exponential Decay, $23,914.85.

5 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
azamat

By the Pythagorean theorem,

a^{2}+12^{2}=13^{2}\\\\a^{2}+144=169\\\\a^{2}=25\\ \\ a=\boxed{5}

4 0
2 years ago
What is the midpoint of the line segment with endpoints
sertanlavr [38]

Answer:

Midpoint

Step-by-step explanation:

The midpoint is the point on the segment halfway between the endpoints. It may be the case that the midpoint of a segment can be found simply by counting. If the segment is horizontal or vertical, you can find the midpoint by dividing the length of the segment by 2 and counting that value from either of the endpoints.

3 0
2 years ago
Find two numbers with a sum of 20 and a difference of 14.
Alekssandra [29.7K]
The anwser is 17 and 3. 17+3=20, and the difference is 14!
5 0
3 years ago
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