What is the measure of interior angle ABC of the regular polygon shown?

Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

So because angles in an decagon add up to 360 degrees, to find one angle, we have to divide 360 degrees by 10. 360/10=36
But here we just have one angle to find the interior of A, B and C we have to multiply 36 by 3 = 180 degrees

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Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va

Brums [2.3K]

Answer:

A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9

Step-by-step explanation:

$\frac{x^2 + 4x - 45}{x^2 + 10x + 9}$

Simplifying the numerator first:

x² + 4x - 45 using the quadratic formula you get;

(x - 5)(x + 9)

Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;

(x + 1)(x + 9)

Dividing the numerator and denominator now gives;

$\frac{(x - 5)(x + 9)}{(x + 1)(x + 9)}$

Cancelling (x + 9) throughout leaves you with;

$\frac{x - 5}{x + 1}$

The only restrictions here is if x = 1 and 9 which will give an undefined answer.

7 0

3 years ago

Read 2 more answers

Really struggling on this

navik [9.2K]

Angle 4 would be 77degrees because angle two is vertical to angle four.

Angle 3 and Angle 1 are equal because they are vertical to each other.

You would subtract 180 (degrees) minus 77 (degrees) and get 103 (degrees).

So Angle 3 and Angle 1 would both be 103 degrees.

You would get 180 degrees from the line.