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Fiesta28 [93]
3 years ago
6

Which triangles are congruent? 30° 110° A 30° 45° B 110° 40 C С​

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

It would be triangles A & C

Step-by-step explanation:

This is because all of the angles within triangle add up to 180, with this, you can do the following to find the missing sides:

Tri A:

180-110-30 = 40

Tri B:

180-45-30 = 105

Tri C:

180-110-40 = 30

When you do this, look at the angles of the triangles. You see that Triangle A with the angles 110, 30, and 40 all match with those seen in Triangle C.

Therefore, the two triangles are congruent.

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What is the product of <br><br>(2x+3)(4x²-5x+6) <br><br>​
Rasek [7]

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

3 0
3 years ago
How many different 5-person subcommittees can be formed from a club having 12 members
Wittaler [7]
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
3 0
3 years ago
The initial price of buzz stock is $20 per share. After 20 days the stock price is $30 per share and after 40 days the price is
Temka [501]

Answer:

s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20

Step-by-step explanation:

given,

initial price of buzz stock = $ 20 per share

after 20 days

stock price = $30 per share

after 40 days

the price =  $35 per share

let say it is modeled by

y = ax² + b x + c

x = number of days

y = stock price

x = 0 y = 20

20 = a x 0 + b x 0 + c

c = 20

x = 20 y = 30

30 = 20² a + 20 b + 20

400 a + 20 b = 10...........(1)

x = 40 y = 35

35 = 40² a + 40 b + 20

1600 a + 40 b = 15...........(2)

solving equation (1)and (2)

a = - 1/160

b = 5/8

y = -\dfrac{x^2}{160}+\dfrac{5}{8}x+20

s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20

hence , the above equation is multipart function

5 0
3 years ago
What is a good estimate for the solution to the equation of X3 equal 95
Advocard [28]

Answer:

32

Step-by-step explanation:

7 0
4 years ago
What is the area of the circle?
crimeas [40]
254 square unit is the answer
7 0
3 years ago
Read 2 more answers
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