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Anika [276]
2 years ago
12

ZA and B are supplementary and vertical angles. What is m<B

Mathematics
1 answer:
Marat540 [252]2 years ago
6 0
<h3>Answer:  90</h3>

Reason:

Vertical angles are equal to each other. Call them x. They must add to 180 degrees because they are supplementary (they are able to form a straight line).

x+x = 180

2x = 180

x = 180/2

x = 90

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HELP WITH ANY OR ALL THESE PROBLEMS ASAP PLEASE LIKE NOW PLEASE<br>CAN SOMEONE PLEASE HELP 
LiRa [457]

Ques 8:

The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)= x^{3}+2x^{2}-13x+10

a) We have to explain that why x =4 is not a possible rational zero.

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

For this , we will substitute the value of x in the given function.

V(x)=x^{3}+2x^{2}-13x+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=54 which is not equal to zero.

Therefore, x=4 is not a possible rational zero.

(b) To show that (x-1) is a factor of V(x).

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

Let (x-1)=0

So, x=1.

Substituting x=1 in the given function.

V(1)=1^{3}+2(1)^{2}-13(1)+10

V(1)= -10+10

V(1) = 0

Therefore, (x-1) is a factor of V(x).

Now we will factorize the given function.

Dividing the given function by (x-1).

On dividing, we get quotient as x^{2}+3x-10

So, factored form is = (x-1)(x^{2}+3x-10)

= (x-1)(x^{2}+5x-2x-10)

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

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

(c) So, the dimensions are 1,2 and -5.

5 0
3 years ago
3( + 4) + 8 = —3<br> solve
egoroff_w [7]
3x4 to 12
12+8
Answer 20
5 0
3 years ago
Which of the following strategies is appropriate for factoring polynomials with 4 terms?
labwork [276]
I would say D, determine if it can be factored by grouping (sorry, I forgot to put in the answer here).
5 0
3 years ago
You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $2; if
Kipish [7]

Answer:

E(Y) = $0.5

Var(Y)  = 14.25

you should pay the same amount  $0.5

Step-by-step explanation:

E(Y) =  = Σ(YP)

P = probability of each outcomes.

Var(Y) = ΣY^{2}p − (μ x μ)

E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5

Var(Y) = (2^{2}\\x 0.25) + (6^{2} x 0.25) +(-3^{2} x 0.5) - (0.5^{2})

       = 14.5 - 0.25

Var(Y)  = 14.25

for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount  $0.5

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3 years ago
Solve the equation.<br><br> x2 = 160
Airida [17]
Divide both side by 2 ad you get x=80
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3 years ago
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