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Sindrei [870]
3 years ago
8

What is the value of 10C3?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
The answer is B. 120

nCr = n! / ((r! * (n - r)!)

n = 10
r = 3

10C3 = 10! / ((3! * (10 - 3)!)
         = 10! / ((3! * 7!)
         = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
         = 3628800 / 30240
         = 120
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BD is the angle bisector of
AlexFokin [52]

Note: Let us consider, we need to find the m\angle ABC and m\angle DBC.

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The m\angle ABC and m\angle DBC.

Solution:

BD is the angle bisector of ABC. So,

m\angle ABD=m\angle DBC

3x=x+20

3x-x=20

2x=20

Divide both sides by 2.

x=\dfrac{20}{2}

x=10

Now,

m\angle DBC=(x+20)^\circ

m\angle DBC=(10+20)^\circ

m\angle DBC=30^\circ

And,

m\angle ABC=(3x)^\circ+(x+20)^\circ

m\angle ABC=(4x+20)^\circ

m\angle ABC=(4(10)+20)^\circ

m\angle ABC=(40+20)^\circ

m\angle ABC=60^\circ

Therefore, m\angle DBC=30^\circ,m\angle ABD=30^\circ and m\angle ABC=60^\circ.

8 0
2 years ago
What is the solution to the equation 6x+ 2 - 9x-1?<br> O X=-3<br> O X=-1<br> O X=1<br> O X-3
Nataly [62]

Answer:

c isyour answer  

Step-by-step explanation:

3 0
3 years ago
On a cordinat grid point n is at -2 4 and point a it at 6 4 the distance in units between n and s is
UkoKoshka [18]

Answer:

Its 7

Step-by-step explanation:

7

6 0
3 years ago
Question is in the picture and answer
dmitriy555 [2]

Answer:

The correct answer is D) y + 1 = -2(x - 5)

Step-by-step explanation:

All equations can be written in the following point-slope form.

y - y1 = m(x - x1)

In which, m is the slope. (x1, y1) is the given point. If we use the information given we can find the equation.

y - - 1 = -2(x - 5)

y + 1 = -2(x - 5)

8 0
3 years ago
Alyssa worked 2 part-time jobs and earned $181.50 for working a total of 24 hours at both jobs. She is paid $6.00 per hour at jo
jeka57 [31]

Answer:

Alyssa work at job A 9\ hours

Step-by-step explanation:

Let

x------> the number  of hours at work A

y------> the number  of hours at work B

we know that

x+y=24

y=24-x -----> equation A

6x+8.5y=181.5 -----> equation B

substitute equation A in equation B

6x+8.5(24-x)=181.5

6x+204-8.5x=181.5

8.5x-6x=204-181.5

2.5x=22.5

x=22.5/2.5

x=9\ hours

5 0
2 years ago
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