Answers
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]sum \: of \: angles\: of \: a \: polygon \: = \\(n - 2) \times 180\degree[/tex]
in the question , we've been given a five sided figure , i.e. , a pentagon.
sum of angles of a pentagon = ( 5 - 2 ) × 180°
[tex]\implies \: 3 \times 180\degree \\ \implies \: 540\degree[/tex]
thus we can say that ,
angle sum property of pentagon states that the sum of all the angles of a pentagon equals 540°.
therefore ,
Step-by-step explanation:
[tex]125\degree + 117\degree + (x + 6)\degree + x + (x - 44)\degree = 540\degree \\ \\ 125\degree + 117\degree + x + 6\degree + x + x - 44\degree = 540\degree \\ \\ 204\degree + 3x = 540\degree \\ \\ 3x = 540\degree - 204\degree \\ \\ 3x = 336\degree \\ \\ x = \cancel\frac{336}{3} \\ \\ x = 112\degree[/tex]
hope helpful ~
[tex]{\huge{\fcolorbox{purple}{blue}{\red{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{yellow}{Answer}}}}}}}}}}}}}[/tex]
To find :-
The value of x in the angles of Pentagon
Given :-
Here we have been provided 5 angles in Pentagon
x°, (x - 44)°, (x + 6)°, 125°, and 117°
Solution :-
We will find the value of x with the angle sum property.
Now, we will find the sum of angles of Pentagon
there is a formula
(n - 2) × 180°
n = no. of sides of above shape
here n = 5
(5 - 2) × 180°
3 × 180° = 540°
Now will add the above given angle in the diagram and put equal to 540°.
x° + (x - 44)° + (x + 6)° + 125° + 117° = 540° (angle sum property)
[tex]3x + 204{\degree} = 540{\degree} \\ 3x = 540{\degree} -204{\degree} \\ 3x = 336{\degree} \\ x = \frac{336{\degree}}{3} \\ x = 112{\degree}[/tex]
x = 112°
further we will find further 2 angles related to x.
x - 44 = 112 - 44 = 68°
x + 6 = 112 + 6 = 118°
Result :-
The all angles of Pentagon are
125°, 117°, 118°, 112°, and 68°.
Related Questions
If one lip balm takes 5 minutes and I spend 2 hours making lil balms how many lil balms would there be?
Answers
Answer:
24 balms
Step-by-step explanation:
2 hours is 120 minutes
120 minutes / (5 minutes/balm) = 24 balms
If Dylan buys a book that is 25% off, what percent of the original price does Dylan pay?
Answers
Answer:
75 percent is your answer
Fatoumata owns a small business selling ice-cream. She knows that in the last week 13 customers paid cash, 39 customers used a debit card, and 5 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.
Answers
Answer:
40
Step-by-step explanation:
40 because 39 will round up to 40 by 1
The probability in percentage that the next customer will pay with a debit card will be 68.42%.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
She knows that in the last week, 13 customers paid cash, 39 customers used a debit card, and 5 customers used a credit card.
The probability that the next customer that will pay with a debit card will be given as,
P = 39 / (13 + 39 + 5)
P = 39 / 57
P = 0.6842 or 68.42%
More about the probability link is given below.
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How many digits are there to the right of the decimal point if you write this number in standard form? How do you know? 5 x 10-4 + 6 x 10-7 + 5 x 10-9 + 9 ~ 10-11 + 4 10-13
Answers
The function y = |x + 6| is a transformation of the parent function
y = |x|.
The graph of the function is shifted
units in the
-hand direction of the parent function.
Answers
Answer:
in the lefthand direction
Step-by-step explanation:
in |x + 6| , the +6 means that it shifts left by 6 units
if it was -6, it was should right by 6 units
What is an equation of a line in point-slope form, that passes through (1, - 7) and has a slope of -⅔
Answers
Answer:
[tex]y+7=-\dfrac23(x-1)[/tex]
Step-by-step explanation:
Use the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
where:
[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on the lineGiven:
[tex]m=-\dfrac23[/tex][tex](x_1,y_1)=(1,-7)[/tex]Substitute the given values into the formula:
[tex]\implies y-(-7)=-\dfrac23(x-1)[/tex]
[tex]\implies y+7=-\dfrac23(x-1)[/tex]
HELPPP frenss!!! HURRY
Answers
Answer:
x=-7
y=2
Step-by-step explanation:
6x+9y=-24
3y=6
therefore, 9y=18,
and 6x=-42
x=-7
y=2
A b c d or e what one
Answers
Answer: A its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if y = 0
0 = -2x + 4 _ eq 1
0 - 4 = -2x
-4 = -2x
divide through by 2
x = -4 ÷ -2
x = 2
if x = 0
y = -2(0) + 4_ eq 2
y = 0 + 4
y = 4
:.(x,y) = (2,4)
A cylindrical tank is having water pumped in at a
rate of 45 liters/minute and is releasing water at
the bottom at a rate of 25 liters/minute. After five
minutes, what is the net change in the volume of
the water in the tank in liters?
Answers
The net change in the volume of the water in the tank in liters would be 100 liters.
How to find the change in volume?We can calculate the released in released with the released between the water released from the water released .
Quantity of water pumped in per minute = 45 liters
Quantity of water released per minute = 25 liters
Number of minutes = 5 minutes
Total water pumped in = 45 liters × 5 minutes
= 225 liters
Total water released = 25 liters × 5 minutes
= 125 liters
Net change in the volume of the water in the tank in liters
= Total water pumped in - Total water released
= 225 liters - 125 liters
= 100 liters
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please help with my math work !
due tomorrow morning
Answers
Answer:
[tex]y=2x+6[/tex]
Hope This Helps! :)
It took a car 4 hours to travel 180 miles. If the car drove a steady speed, how fast was it going?
0.02 mph
180 mph
45 mph
Answers
Answer:
45 mph
Step-by-step explanation:
It took the car 4 hours to travel 180 miles
Then
It took the car 4/4 hours to travel 180/4 miles
Since 4/4 = 1 and 180/4 = 45
Then
It took the car 1 hours to travel 45 miles
Therefore ,the car was it going at 45 mph
The total cost of attending a state university is $19,700 for the first year.
A student’s grandparents will pay half of this cost.
An athletic scholarship will pay another $5,000.
Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?
A.$404.17
Answers
Answer:
$404.17
Step-by-step explanation:
(19700 - 19700/2 -5000) / 12 =
Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
5 for both.
Step-by-step explanation:
Multiplying exponents rule with like bases;
Add powers with like bases.
So, if we look at x to the power of the blank multiplied by x to the power of 5, we know that 5 added to that unknown/blank power would equal in 10(using the multiplication of exponents rule), because in the results it says x^10.
Thus,
x to the power of __ · x to the power of 5 = x to the power of 10
And, 5 would make a solution for the blank, because;
x to the power of 5 · x to the power of 5 = x to the power of 10, which is true because their exponents added together would be 10 → (5 + 5).
Now, if we look at y to the power of 3 multiplied by y to the power of the blank, we know that 3 added to the unknown/blank power would equal in 8(using the multiplication of exponents rule) because in the results says y^8.
Thus,
y to the power of 3 · y to the power of __ = y to the power of 8
And, 5 would make a solution for the blank, because;
y to the power of 3 · y to the power of 5 = y to the power of 8, which is true because their exponents added together would be 8 → (3 + 5).
Therefore, 5 would be the answer.Overall you're basically just multiplying all those exponents together.
hi ..................................................
Answers
Answer:
Hi
Step-by-step explanation:
Heyy!
Explanation:
I think you need friends or want someone to talk to..
Over the past 10 years, what is the warmest temperature recorded, in degrees Fahrenheit, for the month of December in Miami, Florida?
Answers
What can you conclude from her work? check all that apply. the function is continuous. time represents the dependent variable. the scenario is represented by a linear function, since the rate of change is constant. as the amount of time continues, there are fewer cups of juice poured per hour. for every additional hour, 53 cups of juice are poured.
Answers
Based on Rachel's work, we can deduce and conclude on the following: options A, C and E.
The rate of change of time per juice.Based on Rachel's work shown in the image attached below, we can deduce and conclude on the following:
The function is continuous because for every hour given, there is always a value for the cups of juice. Thus, its graph would be linear and have a straight line.
Also, the scenario is represented by a linear function because the rate of change is constant. Lastly, for every additional hour, 53 cups of juice are poured.
In conclusion, time represents the independent variable while number of cup of juice is an independent variable.
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What is the volume of the figure below if a = 8 units and b = 6 units?
A.
536 cubic units
B.
704 cubic units
C.
256 cubic units
Answers
Answer:
704 cubic units
Step-by-step explanation:
First let's calculate the volume of the cube. The formula to calculate the volume of a cube is V = a^3, a being the edge length of the cube. So we need to cube the value of a, which is 8. 8 cubed is 512 cubic units.
Now we need to calculate the volume of the triangular prism. The formula to calculate the volume of a cube is V = 1/2b * a * h, a being the side edge length of the prism, b being the height of the triangular side, and h being the base edge length of the triangular side, if that makes any sense (easier to explain visually). h and a are equal to the given a, which is 8 in this case. And b in the formula is equal to b in the given problem. So we substitute the values into the formula: V = (1/2*6) * 8 * 8 = 3 * 64 = 192 cubic units.
Now we take the sum of both of the figures:
512 + 192 = 704 cubic units.
Is rectangle efgh the result of a dilation of rectangle abcd with a center of dilation at the origin? why or why not? yes, because corresponding sides are parallel and have lengths in the ratio four-thirds yes, because both figures are rectangles and all rectangles are similar. no, because the center of dilation is not at (0, 0). no, because corresponding sides have different slopes.
Answers
The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.
From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.
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help help helpppppp.fasttttttt.
Answers
Answer:
23.6
Step-by-step explanation:
[tex]c=2\pi r[/tex]
The diameter of the cirle is 7.5 m. To find the radius you would take half of the diameter.
7.5 / 2 = 3.75
[tex]c=2\pi 3.75[/tex]
Then you multiply them
your answer is
23.5619
then you round
23.6
Hope this helps!
Consider the diagram below, where h represents height and 2 represents length.
Which of the following represents the approximate area of both figures?
Answers
Answer:
Both figures have an area of (6hl) by Cavalieri's Principle for two-dimensional figures.
Step-by-step explanation:
Math Nation
a square coffee table has an area of 196 square inches.what is the perimeter
Answers
Answer:
56 in
Step-by-step explanation:
Square ....so each side is = x
x * x = area = 196
x^2 = 196
x = sqrt (196) = 14 in
perimeter = x + x + x + x = 56 in
Answer:
56 inches
Step-by-step explanation:
Given,
Area of square = 196 square inches
To find : Perimeter of the square = ?
Formula : -
Area of square = side²
side² = 196
= 14 x 14
side² = 14²
side = 14 inches
Formula : -
Perimeter of the square = 4 x side
perimeter of the square
= 4 x 14
= 56 inches
solution to 8n is less than72
Answers
Answer:
n is less than 9.
help please help me
Answers
Answer:
19.6
Step-by-step explanation:
A = πr²
A = (3.14159)(2.5 in.)²
A = 19.6 in.²
Which are solutions of x2 5x = 2? check all that apply. startfraction 5 over 2 endfraction startfraction startroot 33 endroot over 4 endfraction startfraction 5 over 2 endfraction startfraction startroot 33 endroot over 2 endfraction startfraction 5 over 2 endfraction minus startfraction startroot 33 endroot over 2 endfraction startfraction negative 5 over 2 endfraction minus startfraction startroot 33 endroot over 2 endfraction startfraction negative 5 over 2 endfraction startfraction startroot 33 endroot over 2 endfraction
Answers
Answer:
x = -5/2 + root(33)/2 or x = -5/2 - root(33)/2
Step-by-step explanation:
ok so your computer is
saying:
x^2 + 5x = 2
and takes the 5 divides it by 2 and squares the result
x^2 + 5x + 25/4 = 2 + 25 /4 but then replaces a trinomial with a binomial
(x + 5/2)^2 = 2 + 25/4 = 33/4
solving
x = -5/2 + root(33/4) or x = -5/2 - root(33/4)
or
x = -5/2 + root(33)/2 or x = -5/2 - root(33)/2
Answer:
C and D
Step-by-step explanation:
correct on edge
SOMEONE HELP ME! MATH
Answers
Answer:
50%
Step-by-step explanation:
The end goal here is to find the total area of the entire figure from the center to the outer radius D. Then take the ratio of region B with respect to the total area, which will give you the probability of landing in the area B.
Circle A has a radius of 4. Circle B has a radius of 8. Circle C has a radius of 12. Circle D has a radius of 16. Therefore, the total area of the dartboard is given by:
[tex]A_{total}=\pi r^2=\pi (16)^2=256\pi[/tex]
The area of the region B can be found by thinking of region B as a shaded region between two concentric circles A and C. The area of the circle C is given by:
[tex]A_C=\pi r^2=\pi (12)^2=144\pi[/tex]
The area of circle A is given by:
[tex]A_A=\pi r^2=\pi (4)^2=16\pi[/tex]
Therefore the area of region B would be:
[tex]A_B=144\pi -16\pi =128\pi[/tex]
Finally, the probability of landing in region B would be:
[tex]P=A_B/A_{total}=128\pi /256\pi =0.5[/tex]
Find the area of each shaded region.
Answers
Answer:
Step-by-step explanation:
laws of exponents:
Squares and Square roots:
√9a¹⁶b³⁶
Answers
Step-by-step explanation:
Square root is equivalent to 1/2 power:
[tex] {(9 {a}^{16} {b}^{36} )}^{ \frac{1}{2} } [/tex]
Square root of 9 is 3. Multiply the exponents by 1/2 to get:
[tex] 3{a}^{8} {b}^{18} [/tex]
Solve the system by substitution.
4x + 2y = 10
x − y = 13
Answers
Answer:
[tex]\boxed{\tt (6,-7)}[/tex]
Step-by-step explanation:
[tex]\tt 4x + 2y = 10\\x - y = 13[/tex]
First Let's solve for x in x-y=13
[tex]\tt x-y=13[/tex]
Add y to both sides:
[tex]\tt x=13+y[/tex]
Now, Substitute x=13+y into 4x+2y=10:-
Let x=13+y
[tex]\tt 4(13+y)+2y=10[/tex]
[tex]\tt 52+6y=10[/tex]
Now, let's solve for y in 52+6y=10:-
[tex]\tt 52+6y=10[/tex]
Subtract 52 from both sides:-
[tex]\tt 6y=10-52[/tex]
[tex]\tt 6y=-42[/tex]
Divide both sides by 6:-
[tex]\tt \cfrac{6y}{6} =\cfrac{-42}{6}[/tex]
[tex]\boxed{\tt y=-7}[/tex]
Now, we'll Substitute y=-7 into to x=13+y to find "x":-
[tex]\tt x=13+y[/tex]
[tex]\tt x=13+-7[/tex]
[tex]\boxed{\tt x=6}[/tex]
___
A. 0.700
B. 0.635
C. 0.875
D. 0.750
Answers
Answer:
0.700 is the answer follow me please please
what is the solution set of 2/5 (x+4) -3/5 (2x+3) = 2/5(2-x)-1
Answers
Step-by-step explanation:
2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1
2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)
2/5(x+4)-3/5(2x+3) = -2/5(2-x)
2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)
2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5
(take like terms)
2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5
( Find their L.C.M ) (5 is the LCM)
2x - 6x -2x / 5 = -4 - 9 - 8 / 5
-10x / 5 = -13 / 5
( cross multiply)
-50x = -65
x = -65/50
x = -1.3 ( decimal)
or x = 13/10 (improper fraction)
or x = 1 ³/10 ( mixed fraction).
Hope this helps.
Good luck.
If you have any questions, you're free to ask.