Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = 29 * 180
Sum of Interior Angles = 5,220
The interior angle sum of 31-gon is A = 5220°
What is the sum of the interior angles of a polygon?
The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the interior angle sum of the polygon be = A
Now , the value of A is calculated by
The number of sides of the polygon n = 31
So , the interior angle sum of the 31-gon is given by the equation
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides , so
Substituting the values in the equation , we get
The value of nθ = 180 ( n - 2 )
The value of nθ = 180 ( 31 - 2 )
The value of nθ = 180 x 29
The value of nθ = 5220°
Therefore , the value of A is 5220°
Hence , The interior angle sum of 31-gon is A = 5220°
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39. If the letters A, B, C, D, E, F represent the numbers 4 to 9 in some
order, and
A + C = D
A + D = 2B
C + E = 2F
then what number does F represent?
Answer:
8????? I dont really know.....
d.
For every 24 lb of body mass, a gorilla
will eat 4 lb of food each day. If a gorilla
eats 40 lb of food in a day, how much
does it weigh?
HELP ME
Answer:
tje gorilla weights 240 lb
Answer: 240 pounds
Work Shown:
(body mass)/(amount eaten) = (body mass)/(amount eaten)
(24 lb body mass)/(4 lb eaten) = (x lb body mass)/(40 lb eaten)
24/4 = x/40
6 = x/40
x/40 = 6
x = 40*6
x = 240
The gorilla has 240 pounds of body mass.
Find the greatest common factor of 90, and 135
Answer:
45
Step-by-step explanation:
Do prime factorization and multiply the factors the two numbers have in common.
Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have at least 6 correct answers of true?
If g(x) is the inverse of f(x) and f (x) = 4 x + 12, what is g(x)?
Answer:
[tex]let \: the \: inverse \: of \: f(x) \: be \: m \\ m = {f(x)}^{ - 1} \\ m = {(4x + 12)}^{ - 1} \\ m = \frac{1}{(4x + 12)} \\ m(4x + 12) = 1 \\ 4x = \frac{1}{m} - 12 \\ x = \frac{1}{4m} - 3 \\ therefore \\ g(x) = \frac{1}{4x} - 3[/tex]
Answer:
g(x) = 1/4 x -3
Step-by-step explanation:
f (x) = 4 x + 12
g(x) = f⁻¹(x)
step 1: re-write as linear equation y = 4x+12
step 2: swap x and y x = 4y + 12
step 3: solve y 4y = x - 12 y = 1/4 x -3
step 4: inverse notation: f⁻¹(x) = 1/4 x - 3 i.e. g(x) = 1/4 x -3
write a congruence statement for each pair of congruent figures
Answer:
Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation: did it help? plz like if did
PLEASE HELP!! please do all steps! i’ll mark as brainliest!!!
Answer the following questions using what you've learned from this unit. Write your
responses in the space provided.
1. Factor the polynomial. (2 polnts)
-3x4 - 9x3 + 15x2
2. Use the grouping method to factor the polynomial below completely. (4 points)
10x3 - 35x2 + 6x - 21
Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)
Step-by-step explanation:
(1) Find the greatest common factor - 3x^2. Simplify as much as possible.
(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).
1. The required factor of the polynomial is
(-3x²)(x²+3x-5).
2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).
What is a polynomial?"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."
What is factorization of a polynomial?"The factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.
There are six different methods to factorizing polynomials. One of those methods is factorization of a polynomial by grouping method."
1. The given polynomial is
[tex]-3x^{4} - 9x^{3} + 15x^{2} \\= - 3x^{2}(x^{2}+3x-5)\\[/tex]
Therefore, by factorizing the given polynomial, we get:
[tex]- 3x^{2}(x^{2}+3x-5)[/tex].
2. The given polynomial is
[tex]10x^{3}-35x^{2} +6x-21[/tex]
We need to factorize it using grouping method.
Therefore,
[tex]10x^{3}-35x^{2} +6x-21\\= 5x^{2}(2x-7)+3(2x-7)\\= (5x^{2} +3)(2x-7)[/tex]
Hence,
1. The required factor of the polynomial is
(-3x²)(x²+3x-5).
2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).
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PLEASE HELP!!!!!
Which of the following is not an exponential function?
Answer:
g(x)=x3
Step-by-step explanation:
g(x)=x3 is not an exponential function
The price of an item has been reduced by 10%. The original price was $21.
Use the ALEKS calculator to find the price of the item now.
Answer:
$18.90
Step-by-step explanation:
Multiply the original price by the percentage
$21 x 10% = $2.10
You then subtract this from the original to get the discounted price
$21 - $2.10 = $18.90
ANSWER QUICK PLEASE THANK YOU!!! 7 1/2 divided by (4 1/2 - 5 1/8)=
Answer:
7 1/2 divided by (4 1/2 - 5 1/8)=-12
Step-by-step explanation:
PLZZ MARK BRAINLIEST!!!!
Answer is -12
Solve the inequality for u. 7+u>-10
Answer:
Answer and steps in the pic
Step-by-step explanation:
u > -17
need the answer help
Answer:
Both expression equals 5 when substituting 2 for x, because the expressions are equivalent.
Step-by-step explanation:
Given the expressions:
(1/2)x + 4
x + 6 - (1/2)x - 2
Substituting 2 for x in the equation :
(1/2)x + 4
x = 5
(1/2)2 + 4
2/2 + 4
1 + 4
= 5
x + 6 - (1/2)x - 2
Substituting 2 for x
2 + 6 - (1/2)2 - 2
8 - 2/2 - 2
8 - 1 - 2
= 5
2. Rachel makes cranberry almond cookies. The number of cups of cranberries and the number of cups of almonds are shown in the table below. What is the ratio of cups of cranberries to cups of almonds?
Answer:
Step-by-step explanation:
By 2 for the first one. And for 2 they skip counting by 6
2(x+3)=x - 4
What is the answer pls
Answer:
X= -10
Step-by-step explanation:
This is the answer wait I will show u the steps
How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
5x+7y= -21 (ANSWER?)
Answer:
y=-5/7x-3
Step-by-step explanation:
so, we need the equation to be in y=mx+b form.
The equation right now is 5x+7y=-21 in standard form.
We need to isolate y onto one side
Here's the equation:
5x+7y=-21
subtract 5x from both sides
7y=-5x-21
divide by 7
y=-5/7x-21/7
simplify
y=-5/7x-3
Hope this helps! :)
Find the quotient of -4 and -9
{6x+6y=18
{2x-6y=-10
Answer:
x = 1, y = 2
Step-by-step explanation:
this system is set up nicely to just add because then the y-value will be eliminated and you will have:
8x = 8
x = 1
get y value: 2(1) - 6y = -10
2 - 6y = -10
-6y = -12
y = 2
The scale of a map is one and a 1/2 inch. :8 mi. Find the actual distance for each map distance.
Answer:
The actual map distance would be 160 miles. when we multiply 0.5 by 16 we get 8 miles to find the actual distance for the map we need to multiply by 16 as well.
Hope it helps :)
Step-by-step explanation:
3. El grupo de Mariana se organizó en seis equipos. Cada equi-
po cumplirá con tres comisiones al mismo tiempo (aseo, pun-
tualidad y orden) durante una semana. Los equipos irán par-
ticipando en orden numérico durante el primer cuatrimestre
del ciclo escolar; los turnos se iniciarán la segunda semana de
clases. Mariana es integrante del equipo 4; ¿en qué periodos
le tocará participar? ¿Todos los equipos participarán el mismo
número de veces? ¿Por qué?
Answer:
¿en qué periodos le tocará participar?
El equipo cuatro participa en el periodo 5 - 11 - 17
¿Todos los equipos participarán el mismo número de veces?
Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces
¿Por qué?
Cuatrimestre. = 120 dias
Numero de semanas = 120/ 7 17,1
17 semanas completas 3 dias
No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.
Son 6 equipos para participar todos serian por lo menos 17 semanas 1 dia.
Step-by-step explanation:
Cuatrimestre. = 120 dias
Numero de semanas = 120/ 7 17,1
17 semanas completas 3 dias
No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.
Son seis equipos. 17 ( 16,3) semanas / 6
Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces
Semana 1 2 3 4 5 6
Equipos
1
2 X
3 X
4 X
5 X
6 X
7 X
8 X
9 X
10 X
11 X
12 X
13 X
14 X
15 X
16 X
17 X
18 X
Divide 4a^2 -12ab + 9b^2 by 4a^2 -9b^2
Answer:
4a(a+b−c)Step-by-step explanation:
4a
2
+4ab−4ca
The common factor =2×2×a
Thus, 4a
2
+4ab−4ca
=4a(a+b−c)
The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.
When d=6, T=5
Find the value of T when d=3
Input note: give your answer correct to 2 decimal place.
Answer:
[tex]T = 3.54[/tex]
Step-by-step explanation:
Given
Direct Variation of T to [tex]\sqrt d[/tex]
[tex]d =6;\ when\ T = 5[/tex]
Required
Determine T when d = 3
The variation can be represented as:
[tex]T\ \alpha\ \sqrt d[/tex]
Convert to equation
[tex]T = k\sqrt d[/tex]
[tex]d =6;\ when\ T = 5[/tex]; so we have:
[tex]5 = k * \sqrt 6[/tex]
Make k the subject:
[tex]k = \frac{5}{\sqrt 6}[/tex]
To solve for T when d = 3.
Substitute 3 for d and [tex]k = \frac{5}{\sqrt 6}[/tex] in [tex]T = k\sqrt d[/tex]
[tex]T = \frac{5}{\sqrt 6} * \sqrt{3}[/tex]
[tex]T = \frac{5\sqrt{3}}{\sqrt 6}[/tex]
[tex]T = \frac{5 * 1.7321}{2.4495}[/tex]
[tex]T = \frac{8.6605}{2.4495}[/tex]
[tex]T = 3.5356[/tex]
[tex]T = 3.54[/tex] -- approximated
What input is NOT allowed for f(x)
4/-X + 1
Answer:
x ≠ 1
Step-by-step explanation:
If 1 is used, this will happen:
f(x) = 4/-(1) + 1
f(x) = 4/-1 + 1
f(x) = 4/0 = Undefined
A grocery sells bag of 6 oranges for 4.38 what is the unit cost on the double number line below fill in the given values then use multiplication it division to find the missing Value
Answer:
$1.37 unit rate
*this answer was rounded*
Step-by-step explanation:
Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters. What is the length of Line segment M N? 58 cm 75 cm 88 cm 116 cm
Answer:
A
Step-by-step explanation:
Edge
The measure of MN is equal to 58cm, the correct option is A.
What is a Triangle?A triangle is a polygon with three sides, vertices and angle.
Triangle A B C is cut by line segment M N.
such that,
A M = M B = 88 centimeter
CN =NB = 75 centimeter
AC = 116 centimeter
If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.
MN = (1/2) AC
MN = (1/2) * 116
MN = 58 centimeter
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-6)
73°
57°
Answer:
14°
Step-by-step explanation:
Sum of angles is 180°
57 + 73 + (4x - 6) = 180
130 + 4x - 6 = 180
4x = 180 - 130 + 6
4x = 56
x = 14°
Best and correct answer gets BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)
Only B goes up 4 and over 3 (has the slope of 4/3)
Answer: B
What is the simplified base for the function f(x) = 2(7272)?
Answer:
The simplified base is 9Step-by-step explanation:
The question is not quiet correctly displayed, it should be:
f(x) = 2[tex]\sqrt[3]{27^2^x}[/tex]Simplifying:
f(x) = 2[tex]\sqrt[3]{27^2^x}[/tex] = 2[tex]\sqrt[3]{3^3*^2^x}[/tex] = 2(3²ˣ) = 2(9ˣ)f(x) = 2(9ˣ)The simplified base is 9
69+420 what is the ansewer
Answer:
489
Step-by-step explanation:
Answer:
the answer is 489 I hope it helps.
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
True
Answer:
False
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 6
Step 2: Write Function
Substitute into general form.
y = 2x + 6
Step 3: Compare
2y = 6x does not equal y = 2x + 6
Solve for .
2x-5y=-12
Answer:
If you are solving for y: y=12/5+2/5x
If you are solving for x=1
Step-by-step explanation: