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koban [17]
3 years ago
15

Given the following diagram, find the missing measure.

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0
Altogether your triangle should equal 180 degrees: so 30+45= 75 then 180-75= 105 which means your answer is 105 degrees
BigorU [14]3 years ago
7 0
The sum of the interior angles for a triangle ALWAYS equal 180 degrees. So if M1 = 30 and M2 = 45, then M3 = 105. Hope this answers your question!
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What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12
svp [43]

<u>Answer:  </u>

Sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

<u>Solution:</u>

The general form of cubic polynomial is a x^{3}+b x^{2}+c x+d=0 ---- (1)

If we have any cubic polynomial a x^{3}+b x^{2}+c x+d=0 having roots \alpha , \beta , \theta

Sum of roots \alpha + \beta + \theta = \frac{-b}{a} ---(2)

From question given that,

x^{3}+2 x^{2}-11 x-12 --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= \frac{-2}{1}

= -2

Hence the sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

4 0
2 years ago
Use the formula d =rt to find the distance d a long distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1
shtirl [24]
D=rt
So you're going to plug in the values listed: r= 9 1/2 and t=1 3/4

This will give you:
d=(9.5)(1.75)

Then you solve:
d=16.625

You should probably convert that decimal answer into a fraction since you're question gave it to you as a fraction.
3 0
3 years ago
53-224-9-2-2<br> What is the Degree of the polynomial
Bogdan [553]

It's not clear what polynomial you posted, but let's say you had the polynomial

5x^3+7x^2-9x+10

This is a cubic polynomial as the largest exponent is 3. The degree is also 3. The degree of the polynomial is equal to the largest exponent.

4 0
3 years ago
What is the rate of change between (-32,0) and (-31,2)
Brums [2.3K]
2-0/ -31 - -32
= 2-0/ -31 + 32
= 2/1
= 2
8 0
2 years ago
Please help ASAP need answers thank you
wlad13 [49]

Similar triangles

x/3 = (9+3)/x

x/3 = 12/x

x^2 = 3 * 12

x^2 = 36

x = 6

Answer

6

6 0
3 years ago
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