Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.
Answers
Answer:
160°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°
The solution is : the largest angle is 150°.
What is the polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10
= 2(70) + 10
= 140 + 10
= 150°
Hence, The solution is : the largest angle is 150°.
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Related Questions
The polygons below are similar. Find the value of y
Answers
Answer:
y = 21
Step-by-step explanation:
Find the least common multiple of 8y^2 and 7m
Answers
Answer: [tex]56y^2m[/tex]
which is the same as writing 56y^2m
====================================================
Explanation:
Let's focus on the coefficients 8 and 7 for now.
To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.
multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, ...multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, ....We see that 56 is the LCM of 7 and 8.
Or you could use this shortcut
LCM = (x*y)/GCF
where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,
LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.
----------------------
Once we determine that, we look at the variable terms now.
The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m
This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.
The radius of a circle is 19 miles. What is the circle's circumference?
Answers
Answer:
119.32 miles
Step-by-step explanation:
radius=19 miles
circumference =2×3.14×19 miles
The circle's circumference 119.32 miles
What is circle's circumference ?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
GIven that, radius of a circle is 19 miles
we know , circumference of circle = [tex]2\pi r[/tex]
= [tex]2\pi \cdot19[/tex]
= 38 (3.14)
= 119.32 miles
Hence, circle's circumference 119.32 miles
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You earn $8.45 an hour. How much would you make for a 40-hour week, before taxes are withheld?
giving crown
Answers
Answer:
278.5
Step-by-step explanation:
HELP!!!! PLEASE NO LINK SCAM THO
Which graph shows all natural numbers less than 3?
OA)
-4 -3 -2 -1
+
4
o
1
2
3
+
+
OB) -4 -3 -2 -1
+
2 3
o
1
4
+
+
OC) -4 -3 -2 -1
+ +
2 3 4
o
1
OD)
-4 -3 -2 -1
+ +
+
0 1 2 3 4
Answers
Answer: C
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
3/4+x=2x−x+_
Make equation have infinite solutions in the blank
Answers
Answer:
3/4
Step-by-step explanation:
3/4+x=2x−x+_
2x-x is x
So the equation is now
3/4+x=x+_
So to have infinite solutions, we will have to get both of the sides the same value
Since there is already an x on both sides we don't have to worry about it
Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation
Hope this helps!
r less than one-eighth
Answers
Answer:
what did you mean
Step-by-step explanation:
is not a question
2. Which expression is equivalent to 3ly-6)?
A. 3y - 6
B. 2y - 18+y
c. 5y + 18-2y
D.2y-18-5y
Answers
Answer:
pyfoydoye9ye9ye9ts8ts9teo5e
Which quadrilateral is a trapezoid?
Answers
Answer:
Hey mate!Step-by-step explanation:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
pls mark me as brainliest!!Little help please...?
Answers
Answer: The answer is B
Step-by-step explanation:
It's B because every pound is $14 and for C it looks similar, until you add another pound and then option B becomes $28 per 2 pounds and option C becomes $25 per 2 pounds. Therefore, the answer is B
135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST
Answers
Answer:
27/20
Step-by-step explanation:
135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think
B. Analyze the problem below and answer the questions that follow. a monthly salary of Php 18.500 Complete the table below which shows the deductions on Bianca has her payslip Name Bianca Ramos Assistant For the month of September 2020 Basic Salary 18,500 00 Position Financial Allowances Total Earnings 18.500 00 DEDUCTIONS Description SOCIAL SECURITY SYSTEM MEDICARE (PHILHEALTH) PAGIBIG (FUND) BIR (WITHHOLDING TAX) Amount of Deduction (11) (12) (13) (14). Total Deductions (15) NET PAY (16)
Answers
The completed table showing Bianca Ramos's tax deduction and NET PAY
is presented as follows;
SOCIAL SECURITY SYSTEM = Php 1,147
MEDICARE (PHILHEALTH) = Php 268.25
PAGIBIG (FUND) = Php 370
BIR (WITHHOLDING TAX) = Php 5,509.19
Total deductions = Php 7,294.44
NET PAY = Php 11,205.56
Reasons:
Based on online search, the tax rate for the items on the table are as follows;
SOCIAL SECURITY SYSTEM = 6.20% of earnings
MEDICARE (PHILHEALTH) = 1.45% of earnings
PAGIBID (FUND) = 2% of salary
BIR (WITHOLDING TAX) = P1,342.47 + 32% over P5,479
Bianca Ramos's basic salary = 18,500.00
Which gives the deduction amount as follows;
SOCIAL SECURITY SYSTEM = 0.062 × 18,500.00 = 1,147
MEDICARE (PHILHEALTH) = 0.0145 × 18,500.00 = 268.25
PAGIBIG (FUND) = 0.02 × 18,500.00 = 370
BIR (WITHHOLDING TAX) = 1,342.47 + 0.32×(18,500 - 5,479) = 5,509.19
Total deductions = 1,147 + 268.25 + 370 + 5,509.19 = 7,294.44
NET PAY = 18,500 - 7,294.44 = 11,205.56
Her net pay = Php 11,205.56
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Approximately what portion of the circle is shaded blue?
A. 2/3
B. 2/10 C.2/5
Answers
Answer:
2/5
Step-by-step explanation:
Try to make equal sections. The fraction they are asking for has the shaded number of sections on top (this us called the numerator) and the total number of sections on the bottom (this is called the denominator) see image
the perimeter of a square is 44 cm find the area
Answers
Answer:
The given perimeter is \[44cm\]. Hence, the area of the given square is \[121c{m^2}\].
Step-by-step explanation:
Perimeter = sum of all sides
A square has 4 equal sides, therefore 44/4 = 11, so the length of each side in the square is 11cm.
Area of square = length x width
Area = 11 x 11
Area = 121cm
To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?
Answers
6 cups/ 4 cakes
= 1.5 cups per cake
Answer:
Step-by-step explanation:
So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated
Of the 600 sixth graders at Melville Middle school, 80% want more field trips. How
Many students want more field trips?
Answers
Multiply total students by the percentage:
600 x 80% = 600 x 0.80 = 480
480 students want more field trips.
Approximately what portion of the box is shaded blue?
A.1/3
B.1/10
C. 1/6
Answers
Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answers
Answer: betina or adelita
Step-by-step explanation: hope it helps
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the original price.
Answers
Step-by-step explanation:
60% of original price X = $180
60/100 × X = $180
60X/100= $180( cross multiply)
60X= 18000
X= 18000÷60
X= $300
Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28
Answers
Answer:
2√21
Step-by-step explanation:
1) Simplify.
√84
2) Simplify √84 to 2√21.
2√21
Can anyone help thanks
Answers
Answer:
First Option, log 3x is equivalent to the expression shown
Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them
Answers
Answer:
addie at 4.5 candie bars and frankie had 4
I don’t understand, please help
Answers
Answer:
cosA=root8/3 is the answer
Devaughn is 15 years younger than sydney. the sun of their ages is 63. what is sydney’s age?
Answers
Answer:
39
Step-by-step explanation:
d = s - 15
d + s = 63
Replace d with s - 15
s - 15 + s = 63
2s -15 = 63
2s = 78
s = 39
Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer
Answers
Answer:
525
Step-by-step explanation:
The demand at a price of 205 is ...
Qd = 2600 -5(205) = 2600 -1025 = 1575
The supply at a price of 205 is ...
Qs = -1000 +10(205) = 2050 -1000 = 1050
The demand exceeds the supply by ...
1575 -1050 = 525
The shortage is 525 units.
Help me out please???
Answers
Answer:
5
Step-by-step explanation:
The interquartile range is Q3-Q1.
in this problem, Q3=7 and Q1=2
Please help me answer
Answers
Answer: Second Choice
Step-by-step explanation:
Find the value for x.
Answers
Answer:
4x + 22
Step-by-step explanation:
help me please please
Answers
Answer:
its 3 OR C
Step-by-step explanation:
Helppp! I dont completly get the conceptttt
Answers
0.2 is b
3/9 is c
Hope you find this helpful!
Brainliest and a like is much appreciated!