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2 years ago

Find the length of the missing side of the right triangle 15 and 9 Round your answer to the nearest tenth, if necessary.

Mathematics

1 answer:

mamaluj [8]2 years ago

5 0

Answer:

17.5

Step-by-step explanation:

a^2+b^2=c^2

15^2+9^2=306^2

square root of 306= 17.49

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Determine the measure of an interior angle of the named regular polygon. If a side of the polygon is extended, determine the sup

ladessa [460]

Answer:

A) Each interior angle of the Regular Hexagon = 120°

B)The measure of the supplementary angle of an interior angle is 60°

Step-by-step explanation:

Regular Hexagon : A 6 sided polygon which has all 6 interior angles as EQUAL is called a regular hexagon.

So, here are 6 interior angles of the hexagon are equal.

Also, Sum of all interior angles of an hexagon = 720°

Let us assume the each angle of the hexagon = m

⇒ m + m + m + m + m + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

⇒ Each interior angle of the Regular Hexagon = 120°

Now, a side is extended to form an exterior angle.

Let us assume the measure of that exterior angle = k

⇒ k + m = 180 ° ( as k and m are SUPPLEMENTARY ANGLES)

or, k = 180 - 120 = 60 °

or, k = 60 °

Hence, the measure of the supplementary angle of an interior angle is 60°

6 0

3 years ago

What is the x-value of the solution to the system of equations?

ValentinkaMS [17]

Answer:

The solution to the system of equations is:

$x=4,\:y=-3$

Step-by-step explanation:

Given the system of equations

$5x + 4y =8$

$2x- 3y = 17$

solving the system of equations

$\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}$

$\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16$

$\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85$

$\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}$

$10x-15y=85$

$-$

$\underline{10x+8y=16}$

$-23y=69$

$\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}$

solve for y

$-23y=69$

Divide both sides by -23

$\frac{-23y}{-23}=\frac{69}{-23}$

$y=-3$

$\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3$

$10x+8\left(-3\right)=16$

$10x-24=16$

$10x=40$

Divide both sides by 10

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Thus, the solution to the system of equations is:

$x=4,\:y=-3$

7 0

2 years ago

A local fish market is selling fish and lobsters by the pound. The fish costs $5.25 a pound, while the lobster costs $10.50 a po

Arturiano [62]

The fish market sell 16 pound of fish and 12.5 pound of lobster.

5 0

3 years ago

Read 2 more answers

Witch of the following are the factors of 4b^2 - 16?

luda_lava [24]

4b^2 - 16 = (2b + 4)(2b - 4)

difference of squares
a^2 – b^2 = (a + b)(a – b)

4 0

3 years ago

At a gas station, the price of a regular gas was $3.80 per gallon on monday. the price increased to $3.85 per gallon on tuesday.

notsponge [240]

Monday's gas, $3.80 rounded to the nearest tenth of a dollar would be $3.80 (its already there)
Tuesday' gas, $3.85 rounded to the nearest tenth of a dollar would be $3.90
Hope this helps!! and if you ever need anything else just ask! :)

4 0

3 years ago

Read 2 more answers