The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

Answers

Answer 1

there are 5 interior angles so each angle =

(40x^2 - 65x + 50) / 5 = 8x^2 - 13x + 10

so for 2 angles it's 16x^2 - 26x + 20 Answer

Answer 2

Answer:

Expression representing the measure of the two angles of the given regular polygon is 16x² - 26x + 20.

Step-by-step explanation:

Given Expression of the Sum of the all interior angles of a regular polygon

40x² - 65x + 50

We need to find expression representing the measure of the two angles.

We know that regular polygons have all side and all angles equal.

Number of side or angles in regular polygon = 5

So, when we divide given expression by 5 we get expression for an angle of the regular polygon.

[tex]\frac{40x^2-65x+50}{5}=\frac{5(8x^2-13x+10)}{5}=8x^2-13x+10[/tex]

Expression for an angle of regular pentagon = 8x² - 13x + 10

Now, For 2 angles = 2( 8x² - 13x + 10 ) = 16x² - 26x + 20

Therefore, Expression representing the measure of the two angles of the given regular polygon is 16x² - 26x + 20.

Related Questions

how do you evaluate the expression |4/13|

Answers

Hi there!

First, you need to find the quotient of 4 and 13, obviously.

4/13 is equal to roughly 0.308.

Those grouping symbols around it tell you that you need to find the absolute value.

Absolute value is how far away a number is from 0 on a number line. 3, for example has a absolute value of 3, and -6 has an absolute value of 6.

So, the absolute value of 4/13 is about 0.308.

Hope this helps. :)

-Spagoot

Solumedrol 1.5 mg/kg is ordered for a child weighing 50 lb. Solumedrol is available as 75 mg / 1 mL is available. How many mL must the nurse administer?

Answers

First you must convert the weight from pounds to kg. 50 pounds is 22.7kg. You divide 50 by 2.2 to get that. Then you woukd divide what was ordered by what you have on hand 1.5÷75x ml. It would equal 0.02.

find the solution of
2x - 2y = -20 and -2x + 4y = 14

Answers

We will use the elimination by addition/subtraction method to solve for y:

Given 2x - 2y = -20 and -2x + 4y = 14, add the second equation to the first:

2x - 2y = -20
-2x + 4y = 14
----------------------------------------------
2y = -6. Solving for y: y = -3.

Find x by subst. y=-3 into either of the given equations.

If we choose the first equation, then it becomes 2x - 2(-3) = -20

Solve this for x: 2x + 6 = -20, or 2x = -26, or x = -13.

The solution is (-13,-3).

a grading machine can grade 48 tests in 1 minute. How
long will it take the machine to grade 300 tests?

Answers

[tex]\bf \begin{array}{ccll} tests&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 48&1\\ 300&m \end{array}\implies \cfrac{48}{300}=\cfrac{1}{m}\implies m=\cfrac{300\cdot 1}{48}[/tex]

the some of two consecutive even integers is 170. find the two integers.

Answers

2 consecutive even integers : x and x + 2

x + x + 2 = 170
2x + 2 = 170
2x = 170 - 2
2x = 168
x = 168/2
x = 84

x + 2 = 84 + 2 = 86

so ur 2 numbers are 84 and 86

The required value of integers are 84 and 86 respectively.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

Suppose the first even integer be x.

Then, the second even integer is x + 2.

Since the sum is given as 170, the following equation can be formed as,

x + x + 2 = 170

⇒ 2x + 2 = 170

⇒ 2x = 168

⇒ x = 84

Then, the other integer is 84 + 2 = 86.

Hence, the two integers for the given case are 84 and 86 respectively.

To know more about linear equation click on,

https://brainly.com/question/11897796

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What is the simplified expression for –3cd – d(2c – 4) – 4d?
A:–5cd
B:cd – 8d
C:5cd – 8d
D:–5cd – 8d

Answers

–3cd – d(2c – 4) – 4d
= –3cd – 2cd + 4d – 4d
= -5cd

answer
A:–5cd

To decrease an amount by 7%, what single multiplier should you use?

Answers

To decrease an amount by 7% what single multiplier would you use. You want 7% less than 100%, so the answer is (100%-7%)=93% =0.93. Hope I helped!

y = 5x – 1
–15x – 3y = 3
How many solutions does this linear system have?

one solution: (0, –1)
one solution: (1, 4)
no solution
infinite number of solutions

Answers

y = 5x - 1...so we sub 5x - 1 in for y in the other equation

-15x - 3y = 3
-15x - 3(5x - 1) = 3
-15x - 15x + 3 = 3
-30x = 3 - 3
-30x = 0
x = 0

y = 5x - 1
y = 5(0) - 1
y = -1

it has one solution (0,-1) <=

y = 5x - 1...so we sub 5x - 1 in for y in the other equation

-15x - 3y = 3

-15x - 3(5x - 1) = 3

-15x - 15x + 3 = 3

-30x = 3 - 3

-30x = 0

x = 0

y = 5x - 1

y = 5(0) - 1

y = -1

it has one solution (0,-1) <=

Simplify the expression

- 3/6 - 5/7

can you show me how?

Answers

-3/6 -5/7

-21/42 - 30/42

-51/42

- 51/42 = - 1 9/42

hope this help

A multivitamin tablet contains 14.5mg of calcium. How much calcium does a bottle of 50 tablets contain? Write your answer in grams.

Answers

.725 grams
14.5 times 50 is 725. 725 divided by 1000 (because there are 1000 milligrams in a gram) which equals .725

Answer:

The correct answer is 725mg of calcium.

Step-by-step explanation:

To solve this problem, you can to use the rule of three.

1 tablet → 14.5 mg.50 tablets → x mg.

Now, you have to multiply 50 tablets by 14.5 mg, then divide by 1 tablet:

[tex]x = \frac{50 tb * 14.5mg}{1 tb} = 725 mg[/tex] // tb divided by tb is 1

[tex]x = 725 mg[/tex]

An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. Which of the following is a correct cost?
A. C(t) = 95 for 1 < x ≤ 2
B. C(t) = 95 for 2 < x ≤ 3
C. C(t) = 120 for 2 < x ≤ 3
D. C(t) = 120 for 4 < x ≤ 5

Answers

To answer this question, it is easier to make a list of the repair cost based on the hour of labor. The first hour is $45 then after that $25/hour. Then the list would look like

0-1 h= $45
1-2h= $70 ($45 +1*$25)
2-3h= $95 ($45 +2*$25)
3-4h= $120 ($45 +3*$25)

Looking at the list, the answer should be
B. C(t) = 95 for 2 < x ≤ 3

I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numbers be?

Answers

7 hundreds blocks = 700

5 tens blocks = 50

8 ones blocks = 8
---------------------------------------- add them

700 + 50 + 8 = 758

walt is mixing fruit punch for the party. he combines 1 gallon 2 quarts 3 pints of orange juice , 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. what is the total liquid measure of the punch ?

Answers

Answer:
3 gallon 8 quarts 13 pints or
6 gallon 2 quarts 1 pints

In this question, there are orange juice, pineapple juice, and ginger ale mixed to make the fruit punch. All the juice is using gallon, quarts and pints unit for their volume. Since the unit is already same, you just need to add them first then convert it into the bigger unit. The first calculation would be:

1 gallon 2 quarts 3 pints +
1 gallon 3 quarts 7 pints +
1 gallon 3 quarts 3 pints =
3 gallon 8 quarts 13 pints

If you need to change the volume unit into the biggest unit(gallon) then we need to start from changing pints into quarts. A quarts equal 2 pints, then the calculation would be: 3 gallons + 8 quarts + (13 pints / 2 quarts/pints)= 3 gallon + 14 quarts + 1 pints

Next, change the quarts to the gallon with ratio 4 quarts are equal to 1 gallon. The result would be: 3 gallons + (14 quarts / 4 quarts/gallon) + 1 pints = 6 gallon 2 quarts 1 pints

f(x) = 3x + 10x and g(x) = 4x – 2, find (f – g)(x)

Answers

Doing f(x)-g(x), we have 3^x+10x-(4x-2)=3^x+10x-4x+2=3^x+6x+2=D

Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the probability set function assigns 1/52 to each of the 52 outcomes. let a = {x: x is a jack, queen, or king}, b = {x: x is a 9, 10, or jack and x is red}, c = {x: x is a club}, d = {x: x is a diamond, a heart, or a spade}.

Answers

The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4

We have P(A) = 3/13, P(A ∩ B) = 3/52, P(A ∪ B) = 17/52, P(C ∪ D) = 1, and P(C ∩ D) = 0.

(a) To find P(A), we first determine the number of outcomes in A, which consists of 12 cards (4 jacks, 4 queens, and 4 kings).

Since there are 52 cards in total, P(A) = 12/52 = 3/13.

(b) For P(A ∩ B), we look for the cards that are both in A and B.

There are 3 such cards (jack of hearts, jack of diamonds, and jack of hearts).

So, P(A ∩ B) = 3/52.

So, A ∪ B consists of 12 cards from A and 5 cards from B, totaling 17 cards.

Hence, P(A ∪ B) = 17/52.

(d) P(C ∪ D) includes all cards that are clubs, diamonds, hearts, or spades.

Since all cards fall into these categories, P(C ∪ D) = 1.

(e) P(C ∩ D) represents the probability of drawing a card that is both a club and either a diamond, heart, or spade.

Since clubs do not intersect with these suits, P(C ∩ D) = 0.

Complete Question:

Draw one card at random from a standard deck of cards. The sample space S is the collection of the 52 cards. Assume that the probability set function assigns 1/52 to each of the 52 outcomes.

Let

A = {x: x is a jack, queen, or king},

B = {x: x is a 9, 10, or jack and x is red},

C = {x: x is a club},

D = {x: x is a diamond, a heart, or a spade}.

Find (a) P(A), (b) P(A ∩ B), (c) P(A ∪ B), (d) P(C ∪ D), and (e) P(C ∩ D).

Which statement best describes the function h(t) 210- 15t

Answers

The answer is b.

h is the function name; t is the input and h(t) is the output.

The function name is the one outside the parentheses, the input is inside and the output is the whole function.

The GCF of two different numbers is greater than the LCM of the numbers

Answers

Yes, because GCF is the greatest common factor

GFC is greatest common factor

B. if lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6, how many of each would lucinda buy if she were rational? 0 kewpie dolls and 3 beanie babies 3 kewpie dolls and 0 beanie babies 2 kewpie dolls and 1 beanie baby 1 kewpie doll and 2 beanie babies

Answers

Given the table below comparing the marginal benefit Lucinda gets from Kewpie dolls and Beanie Babies.

[tex]\begin{tabular} {|p {2cm}|p {2cm}|p {2cm}|p {2cm}|} \multicolumn {4} {|c|} {Lucinda's Kewpie Doll and Beanie Baby Marginal Benefits}\\[1ex] \multicolumn {2} {|c|} {Kewpie Dolls}&\multicolumn {2} {|c|} {Beanie Babies}\\[1ex] 1&\$15.00&1&\$12.00\\ 2&\$12.00&2&\$10.00\\ 3&\$9.00&3&\$8.00\\ 4&\$6.00&4&\$6.00\\ 5&\$3.00&5&\$4.00\\ 6&\$0.00&6&\$2.00\\ \end{tabular}[/tex]

If lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6,

Lucinda will buy the combination for which marginal benefit is the same.

Therefore, Lucinda will buy 2 kewpie dolls and 1 beanie baby, if she were rational.

Lucinda can rationally choose to buy 0 Kewpie dolls and 3 Beanie Babies, 3 Kewpie dolls and 0 Beanie Babies, 2 Kewpie dolls and 1 Beanie Baby, or 1 Kewpie doll and 2 Beanie Babies, as all combinations fit within her $18 budget. The prices for each are $6.

In order to determine how many Kewpie dolls and Beanie Babies Lucinda can buy, we need to explore her budget constraint. Lucinda has $18 to spend, and the prices of both Kewpie dolls and Beanie Babies are $6 each. We can calculate the maximum possible combinations of each that fit within her budget.

If Lucinda buys 0 Kewpie dolls and 3 Beanie Babies, she spends $0 + $18 = $18.If Lucinda buys 3 Kewpie dolls and 0 Beanie Babies, she spends $18 + $0 = $18.If Lucinda buys 2 Kewpie dolls and 1 Beanie Baby, she spends $12 + $6 = $18.If Lucinda buys 1 Kewpie doll and 2 Beanie Babies, she spends $6 + $12 = $18.

All these combinations maximize her budget, so any of these options could be rational depending on her preference. Therefore, Lucinda could rationally choose to buy any of the following combinations: 0 Kewpie dolls and 3 Beanie Babies, 3 Kewpie dolls and 0 Beanie Babies, 2 Kewpie dolls and 1 Beanie Baby, or 1 Kewpie doll and 2 Beanie Babies.

What is 3/8 written as a decimal

Answers

You divide 3 by 8, in order to get the answer in fraction form so, the decimal form would be 0.375

Each second for 20 seconds, an elevator descends 6 feet. Find the total change in elevation.

Answers

Just multiply 20 x 6 = 140 so your answer is 140. Hope this helps! :)

If P = Q squared ⋅ O, express O in terms of P and Q.

Answers

Asking you to solve for O just divide Q^2 by both sides and you get

P/(Q^2)=O

Is dividing 4/5 the same as multiplying by 5 then dividing by 4?

Answers

No, because you would divide by 5 and multiply by 4 with the fraction

An item is regularly priced at $91 . It is now priced at a discount of 15% off the regular price. What is the price now?

Answers

The answer is $77.35 by subtracting 15% from $91

i need help with 1 and 2

Answers

1) -149, -1; -148, -2; -147, -3
2) No, according to the commutative property of addition, it does not matter the order they are put in.

Hope this helps!

1: -120 + -30
-40 + -110
-50 + -100

2: no the order does not matter because of the commutative property that says you can add in any order and it can be the same

The governor of state a earns $50,935 more than the governor of state b. If the total salaries is $287,225. Find the salaries for both

Answers

a + b = 287,225
a = b + 50,935

b + 50,935 + b = 287,225
2b + 50,935 = 287,225
2b = 287,225 - 50,935
2b = 236,290
b = 236,290/2
b = 118,145 <=== what governor b earns

a = b + 50,935
a = 118,145 + 50,935
a = 169,080 <=== what governor a earns

You own a house cleaning business. It takes you 2hours and 45 minutes to clean a house. You have 3 houses to clean tomorrow, how long would it take you to clean all three houses?

Answers

8 hours and 15 minutes :)

well there are 60 mins in 1 hr it takes 60 +60+45 to clean 1 house ( 165 ) you need to clean 3 houses now 165 x 3 = 495 mins or simplified to 8 hours and 15 mins

Ryan runs 9 miles in 73 minutes. How many minutes does he take per mile?

Answers

So here we can just do division, to find how many times you can fit 9 miles into 73 minutes, which results in 8 1/9.

So he takes 8 1/9 or 8 and around 7 minutes per mile.

Write an equation that defines the exponential function with base a > 0.

Answers

The equation fpxq =ax defines an exponential function with base a. The domain of the function is all real numbers.

A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown in the table. Write an explicit formula that represents the sequence using function notation. Find the slope of the line that passes through the points given in the table. The slope is

Answers

Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on

The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.

In function notation, the sequence is
[tex]f_{n+1} = 6 + 5n, \\ \, n=0,1,2, \, ...,[/tex]

This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.

Answer:
The sequence is [tex]f_{n+1} = 6 + 5n, \,\, n=0,1,2, \, ...,[/tex]
The slope is 5.

Answer:

Find the slope of the line that passes through the points given in the table. The slope is

✔ 5

Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is

✔ 1

Write the formula as a function of n in slope-intercept form. The function is

✔ f(n) = 5n+ 1

for n in the set of natural numbers.

Which set of ordered pairs could be generated by an exponential function?
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)

Answers

Answer:

THE ANSWER IS D

Step-by-step explanation:

THE ANSWER IS D because if you square 3 you get 9, if you cube 3, you get 27

Answer: (0, 1), (1, 3), (2, 9), (3, 27)

Step-by-step explanation:

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