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elena-s [515]
1 year ago
13

Mark the congruent parts of the triangles and complete the proof

Mathematics
1 answer:
eimsori [14]1 year ago
3 0

1) given

2) definition of an angle bisector

3) reflexive

4) \triangle ABD \cong \triangle CBD (ASA)

5) \angle A \cong \angle C (CPCTC)

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Calculate using Cauchys integral formula
zhuklara [117]

Answer:

9πi/2

Step-by-step explanation:

\oint\limits_C {\frac{5z^{2}+4}{(z-1)(z+3)} } \, dz,\ C: |z|=2

Let f(z) = (5z² + 4) / (z + 3).

\oint\limits_C {\frac{f(z)}{z-1} } \, dz,\ C: |z|=2

Using Cauchy's integral formula:

2\pi i\ f(1)\\2\pi i\ (\frac{5(1)^{2}+4}{1+3}) \\2\pi i\ (\frac{9}{4}) \\\frac{9\pi i}{2}

5 0
2 years ago
Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
Wittaler [7]

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

                  -8    (-2c+ 16)      (4c-34)

       ---------------------------------------------

         4    (c - 8)   (-2c + 17)     4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

6 0
3 years ago
What is the IQR (Inter Quartile Range) for the data set? 11 6 19 14 21 7 13 15 15 Question 10 options: 8 9 15 17
Gnesinka [82]
IQR is the Q3 - Q1 

Put the data in order.....

6, 7, 11, 13, 14, 15, 15, 19, 21 
       ^             ^             ^  
      9(Q1)     14(Q2)    17(Q3) 

17 (Q3) - 9 (Q1) = 8 (IQR) 

So the answer to your question is the first option, 8. 

Hope this helps! :D



       
7 0
3 years ago
Pietro has $75. He used 3/5 of his money to buy a new pair of running shoes. How much did Pietro spend on his new shoes
cupoosta [38]

Step-by-step explanation:

HI Sofia!

So this is how you find the answer.

Amount of money pietro has=$75

Amount of money he spent on shoes=3/5 of 75

=3/5*75= 45

Thus, Pietro spent $45 on shoes.

7 0
2 years ago
Read 2 more answers
The domain and range in this graph will be:
Nataliya [291]

Answer:

a.

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

8 0
2 years ago
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