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4 years ago

What does “converse of the alternate interior angles theorem” mean?

Mathematics

1 answer:

babymother [125]4 years ago

3 0

Answer:

<em>If alternate interior angles formed by two lines with an intersecting traversal are congruent , then these two lines are parallel.</em>

Step-by-step explanation:

Hope this helps :)- Mark Brainiest Please! Thanks!

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X^2+4x divides by x

valkas [14]

Answer:

x + 4

Step-by-step explanation:

x^2 + 4x / x = x^2/x + 4x/x

= x + 4

hope it helped!

8 0

3 years ago

Solve P= 2(L+W) for L

Anna [14]

Solve for l.
p=2(l+w)

Flip the equation.

2l+2w=p

Add -2w to both sides.

2l+2w+−2w=p+−2w

2l=p−2w

Divide both sides by 2.

2l/2=p−2w/2

l=1/2p−w

5 0

3 years ago

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Solve x2 − 3x = −8.

yarga [219]

I hope this helps you

6 0

3 years ago

0 If x and y vary inversely and y=6 as x=7, what is the constant of variation?

gizmo_the_mogwai [7]

Answer:

k = 42

Step-by-step explanation:

given that x and y vary inversely then the equation connecting them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 6 when x = 7

k = yx = 6 × 7 = 42

3 0

3 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15

goblinko [34]

$a_n=5 \ for \ n=1 \\
a_n=-10 \ for \ n=2 \\
a_n=20 \ for \ n=3$

You can see it's a geometric sequence because the ratio is constant ( $\frac{a_3}{a_2}=\frac{a_2}{a_1}$ ).
The nth term of a geometric sequence:
$a_n=a_1 \times r^{n-1}$

$a_1=5 \\
r=\frac{a_2}{a_1}=\frac{-10}{5}=-2 \\ \\
a_n=5(-2)^{n-1}$

It has to be the sum for term 4 through term 15, so n=4 and the number above the sigma is 15.

Your answer:
$\sum^{15}_{n=4} 5(-2)^{n-1}$

3 0

3 years ago

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