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.
To learn more on Polygon click:
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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
(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC
===============================================================
Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
In algebra (grade 7) :-
what does + and - make?
what does + and + make?
what does - and + make?
what does - and - make?
NEED HELP ASAP
giving brainly
Answer:
A&C
Step-by-step explanation:
They are negative and even and they are not positive and even too.
Answer:
A
Step-by-step explanation:
Technically A and C are correct but we are dealing with only negative even values. A non-positive integer is any negative number or zero but we don't have that value so it makes more sense to choose A than C. B is incorrect because a whole number can't include a negative number, a fraction, or a decimal. D is also incorrect because a non-negative integer is a positive number which we don't have in the set.
Best of Luck!
Please help me! I need details. I will appreciate it very much and I will mark Brainllist! Please! ASAP
Answer:
(1, 4), (2, 8), (3, 12)
Step-by-step explanation:
The ratio if the number if books to the cost in dollars is 1 : 4
To plot on a coordinate grid, we first look at the horizontal direction (x-axis)
Take the number of books to be values of the x-coordinate.
Start at the origin and travel the necessary distance to the left or the right then move up or down in the vertical direction to mark the y-coordinate.
The corresponding cost to be the values of the y-coordinate. Mark or plot at the intersection of the two numbers.
What is the Standard Deviation of the following set of data?
14, 22, 18, 12, 14, 8, 4, 12, 32, 12
Answer:
34
Step-by-step explanation:
34 because i beleive so
WILL MARK BRAINLIEST !!! PLEASE
find the length of PQ
[tex]\\ \rm\longmapsto L=\dfrac{\Theta}{180}\times \pi r[/tex]
[tex]\\ \rm\longmapsto PQ=\dfrac{135}{180}\times 3.14(12)[/tex]
[tex]\\ \rm\longmapsto PQ=\dfrac{3}{4}\times 37.68[/tex]
[tex]\\ \rm\longmapsto PQ=\dfrac{113.04}{4}[/tex]
[tex]\\ \rm\longmapsto PQ=28.3[/tex]
Jonathan has no money and he owes three friends fifteen dollars each. What is his worth?
Answer:
-$45
Step-by-step explanation:
Find how much he owes his friends in total by multiplying 3 by 15:
3(15)
= 45
So, he owes his friends $45.
Since he has no money, we can find his worth by subtracting 45 from 0:
0 - 45
= -45
His worth is -$45.
11. Make Sense and Persevere The sum of four
consecutive integers is –18. What is the greatest
of these integers?
Answer:
-3
Step-by-step explanation:
4n+ 6 = -18
4n=-24
n = -6
-6,-5,-4,-3
largest is -3
Answer:
[tex]\displaystyle -3[/tex]
Step-by-step explanation:
[tex]\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}[/tex]
Hence, you have your answer.
I am joyous to assist you at any time.
A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.
Answer:
95kg
Step-by-step explanation:
Mass÷Volume=Density
Therefore, Mass = Volume × Density
Mass = 1500 × 95
Mass = 95,000g
Since we were asked to find the mass in kg:
1000g = 1kg
Therefore, 95,000g = 95kg
¿Alguien sabe como realizarlo?
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Answer:
C.................is the answer
Answer:
a)=10m
b)(x+1)
c)=(27x+9)
d=(3x+1)
Estimate numbers 1-4 from the tens place value.
1. 89
2. 64
3. 985
4. 467
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{We are not sure what you want us to}\\\huge\text{round to so I will...}\huge\boxed{\downarrow}\\\\\\\huge\boxed{\mathsf{original \ number\rightarrow tens\rightarrow hundreds/thousands}}[/tex]
[tex]\huge\boxed{1.) \ \mathsf{89} \rightarrow \bold{90}\rightarrow\bf 100}}\\\huge\boxed{2.) \mathsf{\ 64\rightarrow \bold{6} \rightarrow \bf 100}}\\\huge\boxed{3.) \mathsf{ \ 985 \rightarrow \bold{990}\rightarrow \bf 1,000}}\\\huge\boxed{4.)\mathsf{\ 467\rightarrow\bold{470}\rightarrow \bf 500}}}[/tex]
[tex]\huge\textsf{Reminder: If you have \bf 0 - 4 you are going}\\\huge\textsf{\bf downward \& 5 - 9 you are going upward}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
8/9 divided by 2/5..
Solve the Proportion
5 = x
-- --
12 36
Answer:
[tex]x = 15x[/tex]
Step-by-step explanation:
[tex] \frac{5}{12} = \frac{x}{36} [/tex]
[tex] \frac{5 \times 36}{12 } = x[/tex]
[tex]5 \times 36 = 12x[/tex]
[tex]180 = 12x[/tex]
[tex]12x = 180[/tex]
[tex]12x \div 12 = 180 \div 12[/tex]
[tex]x = 180 \div 12[/tex]
[tex]x = 15[/tex]
What set of numbers best describes the amount of money in a bank account?
a. rational
b. irrational
c. integers
d. whole numbers
At the beginning of March, a store bought a leather couch at a cost of $960.70 and marked it up 20%. At the end of the month, the leather couch had not sold, so the store marked it down 25%. What was the discounted price? Submit
Answer: $864.63
Step-by-step explanation:
First find the original price. Write 20% as the decimal 0.20 before using it in the equation.
price
= cost+mark-up
= 960.70+0.20×960.70
= 960.70+192.14
= 1,152.84
The original price was $1,152.84.
Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.
discount price
= original price–discount
= 1,152.84–0.25×1,152.84
= 1,152.84–288.21
= 864.63
The discount price was $864.63.
Find the value of the following question
Step-by-step explanation:
[(-¾)`²]² =
[ (-4/3)²]² =
[ 16/9]² = 256 / 81
Answer:
the req answer is 256/81
What is the domain of the function y = [tex]\sqrt{x}[/tex]
A)Negative infinity less-than x less-than infinity
B)0 less-than x less-than infinity
C)0 less-than-or-equal-to x less-than infinity
D)1 less-than-or-equal-to x less-than infinity
Answer:
C is the answer
Step-by-step explanation:
The domain can't be minus. That's the only stipulation. It can be equal to 0 or anything larger than 0. It just can't go into the minus numbers.
0≤x<infinity.
C
Which of the following set of angles could be the measurements of a triangle
The source of this question is on learning farm 7th grade
Is the following number rational or irrational?
TV4
Choose 1 answer:
A
Rational
В
Irrational
Answer:
B irrational :]..............
is the mistake one two three or is their no mistake
Answer:
the mistake is that to "remove" the 1/2 on the left you would have to multiply by 2 (or divide by 1/2 but no one does that)
the result would be that 2h-4 = 10 should actually be 2h-4 = 20
Step-by-step explanation:
"The difference between m and n."
Answer:
Step-by-step explanation:
They are diffrent values
katya is 1/8 the height of a tree in a forest. olga is 1/8 the height of the same tree. who is taller?
Answer:
2/8 you plus it
Step-by-step explanation:
you should plus both
0.5t + 0.25(t +16) =4 + 0.75t
Answer:
0.5t + 0.25(t +16) =4 + 0.75t
0.5t + 0.25t + 4 = 4 + 0.75t
0.5t+ 0.25t – 0.75 t = 4– 4
0.5t +0.25t–0.75t = 0 —> 0 = 0
I hope I helped you^_^
Answer: All Real Numbers or A.R.N
Step-by-step explanation:
Given
0.5t + 0.25 (t + 16) = 4 + 0.75t
Expand parentheses and apply the distributive property
0.5t + 0.25 · t + 0.25 · 16 = 4 + 0.75t
0.5t + 0.25t +4 = 4 + 0.75t
Combine like terms
0.75t + 4 = 4 + 0.75t
Subtract 0.75t on both sides
0.75t + 4 - 0.75t = 4 + 0.75t - 0.75t
4 = 4
Since both sides are left with the same term, this means any number would be able to make the equation true.
Therefore the answer would be All Real Numbers, or [tex]\boxed{A.R.N}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Simplify: 6m2,2 – 3mn + 14mn + 10m²n2 + 9 O 27m2n2 + 9 16m?n? + 11mn + 9 16m4n" + 1lm?n? + 9 0 16mn+ 17mn + 9
Answer:
2nd one is the ans
16m*2n*2+11mn+9
Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3
Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
Solve 29 – 3:= 5x + 5 for x.
Answer:
x=4.2
Step-by-step explanation:
29-3=5x+5
21=5x, x=21/5=4.2
plz answer it plz
step by step plz
Answer:
answer is subtract the 180-120=80
Answer:
Y = 60[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
HELLLPPP Multiply. Write your answer in scientific notation. 6 (2 x 10^)(1 x 10
Answer:
[tex](2 \times {10}^{4} )(1 \times 10 ^{6} ) \\ = 2 \times {10}^{10} [/tex]
I hope I helped you^_^
Answer:
2×10^10
Step-by-step explanation:
The tape diagram represents an equation.
Write an equation to represent the image.
Answer:
m + 1/4 = 2/3
Step-by-step explanation:
Since they are equal lengths set them = to each other.
2/3 - 1/4= 5/12; 1/4 + m = 2/3
We know it's subtraction as the tape diagram above has 2 pieces, both smaller than the whole tape diagram below it. Also, knowing it has 2 pieces and that 1/4 is small than 2/3 help us know that it's subtraction.
I hope I've helped!