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3 years ago

14

I need help !!!!!!!!!!!!!!!

2 answers:

Dominik [7]3 years ago

4 0

Because $\angle A$ and $\angle B$ are alternate exterior angles, this means they <span>congruent or equal to each other.
</span>
Therefore, we can say $5x-15 = 2x+21$ and use this equation to solve for x.
$5x-15 = 2x+21$
$5x = 2x+36$
$3x = 36$
$x = 12$
So x is equal to 12. After finding this, we can now go back to the equation for $\angle B$ and plugin x to solve it.
$\angle B = 2x +21$

$\angle B = 2(12) +21$
$\angle B = 24 +21$
$\angle B = 45$
Therefore, $\angle B$ is equal to 45 degrees.

koban [17]3 years ago

3 0

Angle B= 45 degrees
Angle A = 45 degrees

A and B are congruent since they are alternate exterior angles
5x-15 = 2x +21
5x = 2x +36
3x=36
X=12
B)
2x12+21 = 45
A)
5x12-15 =45

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Step-by-step explanation:

The given coordinates of the points are;

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$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

$l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}$

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

4 0

3 years ago

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Iteru [2.4K]

Let

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$P(n+1)$ states that

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Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

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Which terminates the proof, since we showed that

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3 years ago

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