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3 years ago

HELP URGENT!!!! WILL MARK BRAINLIEST!!!

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Opposite angles of inscribed quadrilaterals are supplementary.

That means ∠D + ∠B = 180°

So, we can substitute in the given values.

(4x + 3) + (2x + 3) = 180

Solve for x.

4x + 3 + 2x + 3 = 180

6x + 6 = 180

6x = 174

x = 29

We know ∠C = 2x + 1, so we can substitute our value of x in.

∠C = 2x + 1

∠C = 2 * 29 + 1

∠C = 58 + 1

∠C = 59°

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For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

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Answer:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

Step-by-step explanation:

We are given the function:

$\displaystlye F(x) = x^2 - 2x + 4$

And we want to find F(b + 3).

We can substitute:

$\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4$

Expand:

$\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4$

Rearrange:

$\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)$

Combine like terms. Hence:

$\displaystyle = b^2 +4b + 7$

In conclusion:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

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