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3 years ago

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

zimovet [89]3 years ago

5 0

Answer:

For every 2 boys in class, there is 1 girl in class

Step-by-step explanation:

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N is an integer s=1/2 n(n+1) prove that 8s + 1 is an odd square number

pychu [463]

$s=\frac{1}{2}n(n+1) \\ \\
8s+1=8 \times \frac{1}{2}n(n+1)+1=4n(n+1)+1=4n^2+4n+1=(2n+1)^2$

n is an integer, so 2n+1 is also an integer. 8s+1 is equal to the square of 2n+1, so it's a square number.

2n+1 is an odd integer for any value of n. The square of an odd integer is always an odd integer. Therefore 8s+1=(2n+1)² is odd.

8s+1 is an odd square number.

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3 years ago

How to factor polynomials

Ierofanga [76]

<span>Check for the GCF first. ...Multiply the quadratic term and the constant term. ...Write down all the factors of the result, in pairs. ...<span>From this list, find the pair that adds to produce the coefficient of the linear term.</span></span>

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3 years ago

HEEELP ME GEOMETRY HW #29 AND #30 I'VE BEEN STUCK ON IT FOR HOURS!!!!!

natulia [17]

On #29 x = 12 and <apb = 90° and <dcb = 40° and on #30 all I dont even understand, sorry

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3 years ago

Given the preimage and image,find the dilation scale factor.

Oliga [24]

Answer:

The dilation scale factor is $\frac{1}{2}$ .

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) $K' = \alpha_{1} \cdot K$

2) $T' = \alpha_{2} \cdot T$

3) $P' = \alpha_{3} \cdot P$

4) $J' = \alpha_{4} \cdot J$

5) $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$

If we know that $K = (2, 0)$ , $K' = (1, 0)$ , $T = (3, 0)$ , $T' = (1.5,0)$ , $P = (1, 5)$ , $P' = (0.5, 2.5)$ , $J = (0, 3)$ and $J' = (0, 1.5)$ , then the coefficients are, respectively:

$\alpha_{1} = \frac{1}{2}$ , $\alpha_{2} = \frac{1}{2}$ , $\alpha_{3} = \frac{1}{2}$ , $\alpha_{4} = \frac{1}{2}$

As $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$ , we conclude that the dilation scale factor applied in the preimage is equal to $\frac{1}{2}$ .

7 0

3 years ago

19. Calculate the size of the angle marked x in the diagram.

algol [13]

Answer:

151°

Step-by-step explanation:

126°+221°+95°+57°+70+x=720° ( sum of interior angles of hexagon)

x + 569° =720°

x = 720°- 569°

=151°

7 0

3 years ago

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