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3 years ago

How many sides does a regular polygon have if its interior angles are 150

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

180(# of sides - 2) divided by the # of sides is equal to the degree of its interior angle.
So 12 sides.

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What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 2

finlep [7]

To solve such questions we need to know more about expression.

<h2 /><h2>Expression </h2>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

<h2 /><h2 /><h2>Given to us,</h2>

$2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}$

rearranging we get,

$=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}$

we know that,

$\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\$

therefore,

$=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}$

taking $\sqrt[4]{x}$ and $\sqrt[4]{2y}$ as common

= $[(\sqrt[4]{x})(4+9+5+5+13+35)]-[(2+8+8+16+10+18)(\sqrt[4]{2y})]$

Further simplifying

$=71\sqrt[4]{x}-62\sqrt[4]{2y}$

Learn more about the expression:

brainly.com/question/13947055?referrer=searchResults

7 0

3 years ago

Read 2 more answers

Write and equation in slope intercept form of a line that has a slope of 1/3 and passes through the point (6,0)

ladessa [460]

y=(1/3)x-2

Step-by-step explanation:

the slope-intercept form is y-y1=m(x-x1)

hence, y-0=1/3(x-6) or y=(1/3)x-2

3 0

3 years ago

Help please. I need the answer.

Deffense [45]

Create and solve an appropriate equation: Maria's earnings = Liam's earnings

0.20x = $625+0.10x.

Find x.

0.10x = $625; thus, x = $6250. At this level of food sales, these two people earn the same amount.

3 0

3 years ago

Plz answer the question attached

Agata [3.3K]

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2$

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.

$y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5$