Given regular pentagon ABCDE, what are the coordinates of vertex C?


a) (b, c)

b) (b, -c)

c) (-b, c)

d) (-b, -c)

Answer:

105°

Step-by-step explanation:

180 minus 75 from angle 6 would give you angle 3.

Answer:

A

Step-by-step explanation:

Recall that if we are given fractional exponents, we can use the following property:

[tex]\displaystyle x^{ {}^{a}\!/\! {}_{b}} = \sqrt[b]{x^a}[/tex]

We are given the expression:

[tex]\displaystyle (3p^3q)^{ {}^{3}\!/\! {}_{4} }[/tex]

Use the above property, this yields:

[tex]=\sqrt[4]{(3p^3q)^3}[/tex]

Using the power of a power property, we can simplify this to:

[tex]=\sqrt[4]{(3^3)(p^3)^3(q)^3}[/tex]

Simplify:

[tex]=\sqrt[4]{27p^9q^3}[/tex]

In conclusion, our answer is A.

1. Corresponding angles. (upper left) 2. Alternate interior angles. ( upper right)

3. Alternate exterior angles. ( bottom left)

4. consecutive interior angles. ( bottom right)

Answer:

Answer is choice D.   [ -3/2, ∞)

Step-by-step explanation:

correct on edg

The interval notation for the given exponential inequality is (-3/2, ∞).

The exponential inequality is [tex](\frac{1}{2} )^{2x}+1 < 4[/tex].

Exponential inequalities are inequalities in which one (or both) sides involve a variable exponent. They are useful in situations involving repeated multiplication, especially when being compared to a constant value, such as in the case of interest.

Now, the given exponential inequality can be solved as follows:

[tex](\frac{1}{2} )^{2x}+1 < 4[/tex]

⇒ [tex](\frac{1}{2} )^{2x} < 3[/tex]

⇒ [tex]\frac{1}{2^{2x} } < 3[/tex]

Multiply [tex]2^{2x}[/tex] on both the sides of the inequality.

That is [tex]\frac{1}{2^{2x} } .2^{2x} } < 3.2^{2x} }[/tex]

⇒ [tex]1 < 3.2^{2x} }[/tex]

Solve for x

[tex]x=\frac{ln \frac{1}{3} }{2 ln 2}[/tex]

The solution consists of all of the true intervals.

[tex]x > \frac{ln \frac{1}{3} }{2 ln 2}[/tex]

Interval Notation: (-3/2, ∞)

Therefore, the interval notation for the given exponential inequality is (-3/2, ∞).

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Answer:

The answer is A

Step-by-step explanation:

Answer:

A.) 30^2/100^2+3^2

Step-by-step explanation:

In multiplication, the order doesn't matter.

2 rows of 7 and 7 rows of 2 is the same.

If you have seven 2's, that's the same as two 7's.

See here:

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14

7 + 7 = 14

Or:

2 * 7 = 7 * 2 = 14

Answer:

g = 3

Step-by-step explanation:

13=3g-2(-5+g)

3g-2(-5+g)  = 13     {Use distributive rule}

3g - 5*(-2) + g(-2) = 13

3g + 10 -2g  = 13           {Combine like terms}

3g - 2g + 10 = 13

         g + 10 = 13          {subtract 10 from both sides}

                g = 13 - 10

g = 3

The exterior angle to the 90 degree interior angle is 90 degrees because 90+90 = 180. So this exterior angle is not obtuse.

The equilateral triangle always has an obtuse angle and for the isosceles triangle, it may be obtuse or acute.

The angle is formed by a polygonal side and its extended neighboring side. When a transversal cuts one of two lines, it creates an angle that is outside of the line.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.

Equilateral triangle always has an obtuse angle and for the isosceles triangle, it may be obtuse or acute.

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Answer:

answer is a

Step-by-step explanation:

The solution set for the exponential inequality is (- ∞, 2).

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."

The given inequality is

[tex]3^{2x - 1}[/tex] < 27

⇒ [tex]3^{2x}/3[/tex] < 3³

⇒ [tex]3^{2x}[/tex] < 3³ × 3

⇒  [tex]3^{2x}[/tex] < [tex]3^{4}[/tex]

⇒ 2x < 4

⇒ x < 2

Therefore, the solution is (- ∞, 2).

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Answer: 10 5/12 meters per second

Step-by-step explanation:

distance = rate (time)

100= r( 9 3/5)

r=10 5/12

Answer:

any number less than one multiplied by 300 would be less than 300

Answer:

281/2/5 miles

Step-by-step explanation:

469/5 = 93.8

93.8x3 = 281.4

            = 281/2/5 miles

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The miles did she drive is 281/2/5 miles.

It is required to find the miles did she drive.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The Blue Ridge Parkway is 469 miles long.

Jenny drove 3/5 of the parkway on vacation.

According to given question we have

The miles did she drive

=469*3/5

=  281/2/5 miles

Therefore, the miles did she drive is 281/2/5 miles.

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Answer:

vruu

Step-by-step explanation:

skvnrwniohwrigjqepvpoqepmveppiehpihuorhg8hginvknkcmksmlkqslqbyftdrses6duguhojcfxzwexyvyih8ttde5setvjmpokuigcfxdetguinjnh fxtrfyhbh c

[tex]\int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx x^{2} \frac{x}{y} \pi \int\limits^a_b {x} \, dx \sqrt{x} \frac{x}{y} \frac{x}{y} x^{2} x^{2}[/tex]

Answer:

$79.74

Step-by-step explanation:

[tex]\frac{6}{26.58} = \frac{18}{x} \\\\6x = 478.44\\x = 79.74[/tex]

Answer:

112 gallons

Step-by-step explanation:

Step 1:

3 × 8        Equation for finding how many hours in the 3 days

Step 2:

24 hours    Multiply

Step 3:

14 ÷ 3       Equation to find how many gallons per hour

Step 4:

4.66666666667    Divide

Step 5:

4.66666666667 × 24      Equation

Answer:

112     Multiply

Hope This Helps :)

Answer:

[tex]\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}[/tex]

Step-by-step explanation:

From the picture attached,

Multiplication of two fractions gives the result as [tex]\frac{1}{10}[/tex].

This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.

Therefore, from the given numbers,

5 × 6 = 30

Rest two numbers be placed as the numerator of the fractions.

[tex]\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}[/tex]

         [tex]=\frac{1}{10}[/tex]

Therefore, [tex]\frac{1}{5}\times \frac{3}{6}=\frac{1}{10}[/tex] will be the answer.

Answer:

[tex]\frac{3}{4}[/tex] of the people are not wearing a hat and [tex]\frac{1}{4}[/tex] of the people are wearing a hat.

Step-by-step explanation:

Answer:

2 3/4

Step-by-step explanation:

Answer:

the answer is -5/2

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Answer:

Infinite Solutions.

Step-by-step explanation:

[tex]m+7=3+m+4[/tex]

Subtract m from both sides:

[tex]m+7-m=3+m+4-m[/tex]

[tex]7=3+4[/tex]

[tex]7=7[/tex]

Both sides are equal.

This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.

Answer:

Infinite Solutions

Step-by-step explanation:

Hope this will help

Answer: 3

Step-by-step explanation: Simplifying

2(x + -3) + 9 = 3(x + -1) + x

Reorder the terms:

2(-3 + x) + 9 = 3(x + -1) + x

(-3 * 2 + x * 2) + 9 = 3(x + -1) + x

(-6 + 2x) + 9 = 3(x + -1) + x

Reorder the terms:

-6 + 9 + 2x = 3(x + -1) + x

Combine like terms: -6 + 9 = 3

3 + 2x = 3(x + -1) + x

Reorder the terms:

3 + 2x = 3(-1 + x) + x

3 + 2x = (-1 * 3 + x * 3) + x

3 + 2x = (-3 + 3x) + x

Combine like terms: 3x + x = 4x

3 + 2x = -3 + 4x

Solving

3 + 2x = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

3 + 2x + -4x = -3 + 4x + -4x

Combine like terms: 2x + -4x = -2x

3 + -2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

3 + -2x = -3 + 0

3 + -2x = -3

Add '-3' to each side of the equation.

3 + -3 + -2x = -3 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = -3 + -3

-2x = -3 + -3

Combine like terms: -3 + -3 = -6

-2x = -6

Divide each side by '-2'.

x = 3

Simplifying

x = 3

Answer:

  B, D, E

Step-by-step explanation:

A: simplifies to 2π. Multiplying the irrational number π by 2 does not result in a rational number.

B: the sum of two rational numbers is always rational

C: simplifies to 6+√5. The sum of a rational number and an irrational number is always irrational

D: simplifies to 0, a rational number

E: simplifies to 7, a rational number

Answer:

d. 31.

Step-by-step explanation:

11^3 = 1331

31.

Answer:

its the same

Step-by-step explanation:

you read

Answer:

We know that a negative value is positive of all even exponents and negative for all odd exponents.

y=(-1)^x