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seraphim [82]
3 years ago
6

Richelle drew hexagon KLMNOP. She thinks that the angles are congruent. How can she show that the angles are congruent without u

sing a protractor?
Mathematics
1 answer:
9966 [12]3 years ago
6 0
Richelle can fold a hexagon in half and if they match up they will be congruent.
all angles would be congruent
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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
3 years ago
Find the area of the following figure.<br> A. 312 cm2<br> B. 400 cm2<br> C. 300 cm2<br> D. 252 cm2
ira [324]

Answer:

312

Step-by-step explanation:

each side is 60 cm, the main body is 192. Add both sides to get 120 and add 192 u get 312

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2 years ago
Which of the following properties does not work for addition?
Simora [160]

Answer:

I believe it is Identity

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