Answer:
X equals 8.
Step-by-step explanation:
The polygon in the question has 5 sides. However, it is an irregular polygon hence the sides are given as 62 degrees, 66 degrees, 77 degrees, 59 degrees and 12X degrees.
The size of the exterior angle of a polygon is calculated as
Angle = 360/n
Where n is the number of sides. So for a five sided polygon, the size of the exterior angle is calculated as
360/5 which equals 72. Since it is an irregular polygon, the sum of the exterior angles can be expressed as
62 + 66 + 77 + 59 + 12X = 360
264 + 12X = 360
Subtract 264 from both sides of the equation
12X = 96
Divide both sides of the equation by 12
X = 8
The value of x in the given polygon is 8.
What is Polygon?A polygon is a plane figure made up of line segments connected to form a closed polygonal chain
The polygon in has 5 sides.
It is an irregular polygon hence the sides are given as 62 degrees, 66 degrees, 77 degrees, 59 degrees and 12X degrees.
The size of the exterior angle of a polygon is calculated as
Angle = 360/n
Where n is the number of sides.
So for a five sided polygon, the size of the exterior angle is calculated as
360/5 =72.
Since it is an irregular polygon, the sum of the exterior angles can be expressed as
62 + 66 + 77 + 59 + 12X = 360
264 + 12X = 360
12X = 96
Divide both sides of the equation by 12
X = 8
Hence, the value of x in the given polygon is 8.
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A polygon with 5 sides is shown with its exterior angles. The exterior angles are 62 degrees, 66 degrees, 77 degrees, 59 degrees, and (12 x) degrees. What is the value of x? 6 8 10 12
3. At a local high school championship football game, 595 tickets were sold. A student
admission ticket costs $1.50 and an adult admission ticket costs $5. The sum of all ticket
receipts for the game was $1750. How many of each type of ticket were sold?
simplify (a+1/a)^2-(a-1/a)^2
4 A curve has equation y=x^3 - 2x² +5. Find the coordinates of its two stationary points.
Answer:
Stationary points are (0, 5) and (4/3, 103/27)
Step-by-step explanation:
At stationary point (turning point), dy/dx :
[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]
but dy/dx = 0:
[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]
let y = x³ - 2x² + 5:
[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]
Please help me finish 4 and answer 5
there :))) check out image I could attach one image...sorry
¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?
Answer:
How long will it take to hear the rumbling of a volcano located 58km away?
Step-by-step explanation:
Help me find the value
Answer:
soln
Step-by-step explanation:
a=7
b=-2
5a-3b
5×7-3×-2
35+6(because - and - becomes+
41ans
Answer:
5a-3b
5×7-3×-2
35-6
29
I think soo
A quantity with an initial value of 850 grows continuously at a rate of 90% per
decade. What is the value of the quantity after 59 years, to the nearest hundredth?
Answer:
5400
Step-by-step explanation:
so 90% of 850 is 765 (0.90x850)
765 is 10 years
so 1 year is 765/10 = 76.5 per year. So 76.5x59 = 4,513.5 add the initial ammount and you got 5,363.5 in the nearest hundredth you get 5400
Answer:
171997.69
Step-by-step explanation:
See photo for explanation
Solve the following simultaneous equations:
5x + 3y = 21
2x + y = 3
2x+3y=12
5x+4y=23
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
List the domain and range of the relation.
{(1,-6), (5,5), (0, -6), (5,1) (1,6)}
FIRST PERSON WILL BE MARKED BRAINLIEST!!!
Answer:
Correct choice is option A. 6a + 8b ≤ 200
7a + 5b ≤ 150
---> cereal A with grams will be multiplied by the sodium available in one gram of cereal A
----> The solution from the above equation would then be added to the cereal B with grams as well as its sodium content per grams.
6a + 8b ≤ 200
---> Cereal A's grams × Cereal A's calories + Cereal B's grams × Cereal B's calories is ≤ 150
so, 7a + 5b ≤ 150
what is the probability of reaching into the bag and picking a red marble and then drawing again (without replacing the marble you picked the first time) and picking a red marble. Please help. i have acellus btw
Answer:
To solve you would need the exact number of all colored marbles
HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards
Answer:
99
Step-by-step explanation:
9x5 + 7X6 + 3X4 + 2X6
help please!!!!!!!!!!!!!! im bad at math
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?
Answer:
The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
you are totally correct
Help with this IXL question.
Answer:
U=(0,-3) s=(10,-8)
Step-by-step explanation:
Plot it and then just draw the rectangle again with the same length as the original one
"The perimeter of a triangle is 294cm. The sides are x + 2, 2x + 3, and 3x + 1. Find the length of each side of the triangle."
Answer:
50cm, 99cm, 145cm
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides.
So
(x+2) + (2x + 3) + (3x + 1) = 294
Combine like terms
6x + 6 = 294
Subtract 6 on both sides
6x = 288
Divide 6 on both sides
x = 48
So the sides are
x + 2 = 48 + 2 = 50 cm
2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm
3x + 1 = 3(48) + 1 = 145 cm
Checking, first:
50 + 99 + 145 = 194 cm
Plug in x = 48 to the original equation.
48 + 2 + 2(48) + 3 + 3(48) + 1 = 294
48 + 2 + 96 + 3 + 144 + 1 = 294
294 = 294
The lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The sides of triangle are x + 2, 2x + 3, and 3x + 1.
Given that the perimeter of a triangle is 294 cm
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
⇒ x + 2 + 2x + 3 + 3x + 1 = 294
⇒ 6x = 294 - 6
⇒ x = 288/6
⇒ x = 48
So the length of the first side = 2+48 = 50
So the length of the second side = 2(48 ) +3 = 99
So the length of the second side = 3(48) + 1 = 125
Thus, the lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
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Please explain. I think it’s two step equations
Answer: I don’t see anything
Step-by-step explanation:
A man mixes 90 litres of milk, containing 10% of water with 60 liters of milk containing 20% of water, then the percent of water in the minture is?
Answer:
it is 15 percent than
Step-by-step explanation:
hope i could help
**3. What is the y-intercept of the line that has a slope of
-4 and passes through the point (4, -6)?
Answer:
10
Step-by-step explanation:
We'll first write in point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is our point and m is our slope.
Then convert into slope-intercept form to make it easier to find the y-intercept.
y - (-6) = -4(x-4)
y + 6 = -4(x-4)
y + 6 = -4x + 16
y = -4x + 10
Now that we've put the equation in slope-intercept form, we see that our b-value
y = mx + b
b = 10, so our y-intercept is 10
5(1+s)=9s+6
----------------
Answer:
Solution given
5(1+s)=9s+6
distribute
5+5s=9s+6
subtract both side by 5s
5+5s-5s=9s-5s+6
solve like terms
5=4s+6
subtract both side by 6
5-6=4s+6-6
-1=4s
divide both side by 4
-1/4=s
Answer:
[tex]s=-\frac{1}{4}[/tex]
[tex]s=-0.25[/tex]
Step-by-step explanation:
[tex]5\left(1+s\right)=9s+6[/tex]
Apply distributive law:-
[tex]5\left(1+s\right)[/tex]
[tex]=5+5s[/tex]
[tex]5+5s=9s+6[/tex]
Now, Subtract 5 from both sides :-
[tex]5+5s-5=9s+6-5[/tex]
[tex]5s=9s+1[/tex]
Subtract 9s from both sides:-
[tex]5s-9s=9s+1-9s[/tex]
[tex]-4s=1[/tex]
Divide both sides by -4:-
[tex]\frac{-4s}{-4}=\frac{1}{-4}[/tex]
[tex]s=-\frac{1}{4}[/tex]
OAmalOHopeO
n decreased by 35% is 117
find n
show solutions please
Answer:
According to question, we get the following equation:
n-35% = 117
n-35/100 = 117
(100n-35)/100 = 117 ........... Took LCM
100n-35 = 117*100
100n-35 = 11700
100n = 11700-35
100n = 11665
n = 11665/100
n = 116.65 .......... ANSWER
To which number sets would ✓16 belong? Check
all that apply.
(Select all that apply.)
Natural
Whole
Integers
Rational
Irrational
Answer:
16 is rational , interger , Whole.
Write your answer as an integer or as a decimal rounded to the nearest tenth
Answer:
965.31sq.km
Step-by-step explanation:
Area of the triangle = 1/2 xy sina
a=52° , x=49 , y=50
area of triangle= 1/2 * 49 *50 *sin52°
area= 965.31 sq.km
Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x
Answer:
option c
Step-by-step explanation:
explaination is in pic below
is 16 a natural, whole, integer, rational or irrational number?
Answer:
6 is a natural, whole and integer
Step-by-step explanation:
16 is a natural, whole and integer
it is not rational or irrational because
rational numbers are written in p/q as well as irrational
natural numbers start from 1 till infinite
whole numbers start from 0 to infinite
integers include all the positive and negative numbers
Answer:
rational
Step-by-step explanation:
Ivan sold 37 boxes of oranges on Friday and 33 boxes on Saturday during a citrus sale. there were 10 oranges in each box. how many oranges did he sell in all?
Answer:
He sold 700 oranges
Step-by-step explanation:
37x10=370
33x10=330
370+330=700
Write the phrase as an algebraic expression. The quotient of twelve and the difference of three and a number (Type an expression using x as the variable.)
Answer:
The answer is 12 + 3 - x
Step-by-step explanation:
The keywords are "and" and "difference". "And" means adding and "difference" means subtracting. And if the phrase says/or writes a number before any keywords that represent an operation then, it means that number comes first before the sign or operation.
Hope I'm correct as this is the first time I am answering a question and I don't have a pen and paper with me right now XD.
Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case
Answer:
18245
Step-by-step explanation:
We have to use L.C.M,
L.C.M(20,24,32,38)
2|20,24,32,38
2| 10 ,12 ,16 ,19
2| 5 , 6 , 8 , 19
2| 5 , 3 , 4 , 19
2| 5 , 3 , 2 , 19
L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19
= 18240
Now for each case remainder is 5,
So the number is 18240+5
=> 18245
Classify 7/8 as either a whole number natural number an integer or rational number
Answer:
rational number
Step-by-step explanation:
a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number
