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FromTheMoon [43]

2 years ago

8

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

1 answer:

nadya68 [22]2 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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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

11 months ago

Read 2 more answers

(2x-7)(x+2)+(3x+7)(x+2)

Ivahew [28]

Answer:

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2

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1

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________________

4 0

3 years ago

Read 2 more answers

Solve: -8 = -7 + x X =

Amanda [17]

Answer:

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8 0

2 years ago

Four horses ran in a race

irina [24]

Answer:

Dee won

Step-by-step explanation:

Using < to mean "finished ahead of ", we are given ...

B = 3

D < B

D < C

A < C

D < A

Dee finished ahead of Air, Bart, and Caper, so Dee won the race.

_____

The order of finish must be D, A, B, C.

3 0

3 years ago

Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it

aksik [14]

Answer:

C. The balance in her check register will be $116 over the balance on her bank statement.

8 0

2 years ago