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
Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular
price. The limit is one deal per customer. Is the relation (# sale items purchased, price) a function? Why or why not?
A)
B
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
It is not a function because the input can be either 1 or 2 items, but the
output will always be the same price.
It is a function because the input will always be the same price, but the
output can be either one or two items.
D
It is not a function because the input will always be the same price, but the
output can be either one or two items.
Answers
Answer:
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
Step-by-step explanation:
Answer:
A. It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
Step by Step Explanation :
A function is for every single input but the output is always the same. So, let's make a scenario. If someone bought ' 1 ' then paid the marked cost and if you bought 2 then paid the marked cost BUT with " One Buy One Free. " So, it is in fact a function.
solve for y and x
2+3x-1=4y
And
2x-3=y
Answers
Answer:
x = 2.6, y = 2.2
Step-by-step explanation:
if 4y = 2 + 3x - 1 and
y = 2x - 3,
4y = 2 + 3x -1 and 4y = 8x - 12 so
8x - 12 = 2 + 3x - 1
so 5x - 12 = 1,
5x = 13,
x = 2.6
If x = 2.6,
y = 5.6 - 3
so y = 2.2
Please mark me as Brainliest!
Choose the symbol that correctly compares the fractions below.
Answers
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answers
Answer:30 drinks
Step-by-step explanation:
PLS HELP ME WITH GEOMETRY :0000
Answers
Answer:
GM = 18
Step-by-step explanation:
HJK is congruent to HKL (RHS congruency)
so, JK = KL
JK = 2
GHJ is congruent to MHL (SAS congruency)
so, GJ = LM
LM = 7
GM = 7 + 2 + 2 + 7 = 18
solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
Answers
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
what word phrase can you use to represent the algebraic expression 6x+6
Answers
Answer:
the word phrase use to represent 6x+ 6 is sum 6x and 6
Step-by-step explanation:
first you sum 6x and 6
2. Ramona spent 20 minutes on homework on Monday, 20 minutes on Tuesday,
40 minutes on Wednesday, 30 minutes on Thursday, and 0 minutes on Friday.
What is the mean number of minutes she spent on homework?
Answers
Answer:
Ramona spent 110 minutes on homework
Step-by-step explanation:
You want to add up all the minutes spent on homework altogether.
20 +20 = 40
40 + 40 = 80
80 + 30 = 110
110 + 0 = 110
So, Ramona spent a total of 110 minutes on homework. Hope this helps!
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.
Answers
According to the two-way table, the correct option is:
10% of her customers ordered an appetizer and dessert.From the table, it is taken that:
0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.Hence, the highlighted 0.1 = 10% means that:
10% of her customers ordered an appetizer and dessert.You can learn more about two-way tables at https://brainly.com/question/24670062
What is 0.459 roused to the nearest hundredth
Answers
Answer:
0.459
the 9 rounds the 5 up to a 6 so its 0.46
Answer:
The answer is 0.46
Step-by-step explanation:
The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.
According to his running log, Baldwin averaged 4 miles per week last month and 25% more this month. How much did he average this month?
Answers
Answer:
4(1.25) = if it’s only one month then it’s 5 miles
Step-by-step explanation:
Please mark brainliest
Which graph could potentially have a correlation coeffiecient (r value) of 0.95?
Answers
Answer:
C,
Step-by-step explanation:
A and D is incorrect because they are negative correlation
and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values
so answer C
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answers
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
hlep me it is easy plssssssssssssss
Answers
Answer:
C. (10 - 2) ÷ 4
Step-by-step explanation:
To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:
Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.
Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.
So, since the only option that raises a division is option C, that's the correct option.
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Answers
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?
Pics here
↓
Answers
The student made $100 in week 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned from the first week to 6 weeks.
110, 100, 90, 110, 100, 90
We see that,
Every 3 weeks the amount gets repeated.
So,
7th week = 110
8th week = 100
Thus,
The amount earned in week 8 is $100.
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9 X 19 + 2 X 57 - 75 = n
Answers
Answer:
210
Step-by-step explanation:
juss a fact
Answer:
210
Step-by-step explanation:
First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210
Factorise fully 2x2 – 8x
Answers
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
6 lb = how many oz .
Answers
Answer:
96 oz
Step-by-step explanation:
1 lb= 16 oz
so, 16×6=96
3. Which of the following is a rational
number that is not an integer?
A-2
C 0
B -0.5
D 4
Answers
Step-by-step explanation:
-0.5 cause decimals and fraction are not included
5c + 7c simplify fytdtdecxsts
Answers
Answer:
12c
Step-by-step explanation:
Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.
In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:
5c + 7c = 12c
12c is your answer.
~
2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother b) my present age
Answers
Answer:
age of the Father is 46 and age of the son is 24
Step-by-step explanation:
13 years ago x was thrice y's age, or
(x - 13) = 3(y - 13); or
x - 3y = -26
2 years ago, x was twice y's age, or
(x - 2) = 2 (y - 2); or
x - 2y = -2
Subtracting equation 1 from 2:
x - 2y - (x - 3y) = -2 - (-26)
or y = 24
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
Answers
Answer:
Number 21 is < number 23 is > number 22 is < and number 24 is >
Step-by-step explanation:
help plsssssssssssssss
Answers
Answer:step 2
Step-by-step explanation:
Help help again ..2 more :/ thank you again ..
Answers
64 + 12 - 16
76 - 16
60
so your answer would be 60
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answers
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
1) 0.52 + 1.6 + 8.26 =
2) 1.4 + 5.98 + 9 + 0.39 =
3) 4.45 + 7 + 0.049 =
4) 12.54 – 1. 054 =
5) 0. 685 – 0. 5903 =
6) (34. 89) (0.875) =
7) (840) (0.625) =
8) 28.5 ÷ 0.87 =
9) 104 ÷ 6.4 =
Answers
Step-by-step explanation:
1 10.38
2 16.77
3 11.499
4 11.486
5 0.0947
6 30.52875
7 525
8 32.57862069
9 16.5625
100 points will award brainliest crown
Draw the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0). Label the image E' F' G'
Answers
Answer:
Should be 3 units away from the picture
Step-by-step explanation:
I hope this helps! ;)
The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The image of EFG under the dilation with scale factor and center of dilation has to be drawn.
The value of scale factor of dilation is 3/2.The center of dilation is at (0, 0).The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,
[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]
The dilated image of triangle EFG is attached below.
Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
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2x-y=3
X+y=3
Slove equations algebraially
Answers
Add the two equations together and get
3x = 6
x = 2
2 + y = 3
y = 1
⦁ Solve for x: 3|x – 7| = 15
SHOW WORK
Answers
[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]
3x=36 divided by 3 both side x=12 x=2