Answers
Step-by-step explanation:
blue line = x
12c-8-2c+10-4=10c-x
(12-2)c+(10-4-8)=10c-x
10c-2=10c-x
=> x=2
Related Questions
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon? Show your work.
Answers
Answer:
9 inches; 4.5 inches.
Step-by-step explanation:
Given the following data;
Length of sides of the equilateral triangle = 1.4x + 2 inches.
Length of sides of the hexagon = 0.5x + 2 inches.
We know that the perimeter of a hexagon is given by the formula;
P = 6 * length of sides
Substituting into the equation, we have;
P = 6*(0.5x + 2)
P = 3x + 12
Perimeter of an equilateral triangle is given by the formula;
P = 3 * length of sides
Substituting into the equation, we have;
P = 3(1.4x + 2)
P = 4.2x + 6
Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;
3x + 12 = 4.2x + 6
Rearranging the equation, we have;
12 - 6 = 4.2x - 3x
6 = 1.2x
x = 6/1.2
x = 5
I. To find the length of each sides of the equilateral triangle;
Length of a side = 1.4x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 1.4*(5) + 2
Length of sides = 7 + 2
Length of sides = 9 inches.
II. To find the length of each sides of the hexagon;
Length of sides = 0.5x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 0.5*(5) + 2
Length of sides = 2.5 + 2
Length of sides = 4.5 inches.
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given tha the perimeters are equal.
So,
[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
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Solve for x. (Simplify)
Answers
Answer:
x = 8.75
Step-by-step explanation:
the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]
x = 8.75
70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there
Answers
Answer:
21 moats
Step-by-step explanation:
.70 x 30 = 21
what are the missing angles?
Answers
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?
A. 45
B. 21
C. 95
D. 81
Answers
95 households have electricity bills of less than $200. Option C is correct.
Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) = [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) = (200 - 245)/55
= --45/5
= -0.818181
p < 200 = 0.206 (from z table)
Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95
Thus, 95 number of household have electricity bills of less than $200. Option C is correct.
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2x+5y=10
x intercept=
y intercept=
Answers
Answer:
x= 0/-8
y= 0/5
Step-by-step explanation:
Brain-List?
Simplify 18 - 6x + 5x - 11
Answers
Answer:
7-x
Step-by-step explanation:
18-11=7
-6x+5x=-x
therefore, the answer is 7-x
The solution of the expression is,
⇒ - x + 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 18 - 6x + 5x - 11
Now, We can solve the expression as;
⇒ 18 - 6x + 5x - 11
Rearrange as;
⇒ - 6x + 5x + 18 - 11
Combine like term as;
⇒ - x + 7
Thus, The solution of the expression is,
⇒ - x + 7
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please help solve this.
Answers
N=-8
I think that’s the answer am not sure but there
Solve each equation. Check your solution.
3(n - 7) = -30
Answers
3n-21= -30
3n = -9
n= -3
What is the slope of the line that passes through the given points?
(-12,-4) and (11,-10)
Answers
Answer:
Y2-y1
X2-×1 = m
-12-(-10)
11-5 = -2/3
m= -2/3
Step-by-step explanation:
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
Answers
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
if Scott types 210 words in 5 minutes how many words can he type in a minute
Answers
Answer:
42
Step-by-step explanation:
210 divided by 5 is 42
help me.............
Answers
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
Damian has a mask collection of 500 masks he keeps 64% of the masks on his wall. How many masks does he keep on his walk?
Answers
Answer:
he has 320 masks on his wall
7) Wnte a linear function in
slope intercept form that
passes through the point (2, 3)
and has a slope of 4
Answers
Explanation:
3 = 2(4) + b
3 = 8 + b
3-8 = b
-5 = b
y = 4x - 5
16. Patrick turned out for the track team and lost 5.62 kilograms during the season. After the season
finished, he gained back 1.4 kilograms.
a. One of the decimals should be written as negative number. Which one is it and why?
b. Find the sum of the two numbers to determine the total change in Patrick's weight
Answers
Answer:
A: the 5.62 kilograms should be negative, since he is losing weight.
B: -5.62 + 1.4 is -4.22, which is how many kilograms Patrick lost in total.
Hope this helps :)
Your restaurant bill is $42.16. You want to leave a 20% tip. What is your best
estimate of a 20% tip?
Your answer
Answers
Answer:
$8.40
Step-by-step explanation:
Since this is an estimate, you need to do it in your head. The way I did it was I divided 40 by 5 since 20% is one fifth of 100%, then I divided 2 by 5 and added them together which equaled 8.40.
Answer:
About $8
Step-by-step explanation:
Move decimal point one place to the left (making $4.20), then double that answer (making $8.40). You said estimate so I rounded down to $8 but a more precise answer would be $8.40.
Hope this helps :).
which of these is not a linear graph.
Answers
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
Yuki works at a garden store. She is stacking 40-pound bags of soil. Write an equation that gives the total weight, w, of the soil in pounds when yuki stacks b bags.
Answers
The answer is w=40b Answer:
Step-by-step explanation:
Answer:200
Step-by-step explanation:
w=40b
=40(5)
=200
ldentify the location of the values used to create a box
plot.
A=
B=
C=
D=
E=
Answers
B Q1 ( first quartile )
C Median
D Q3 ( third quartile)
E maximum
I hoped that helped.
Answer:
A minimum
B Q1 ( first quartile )
C Median
D Q3 ( third quartile)
E maximum
Step-by-step explanation:
HOPED THIS HELPED YOU OUT! AND TO EVERYONE THAT NEEDS THE HELP WITH THIS QUESTION
have a GOD-LIKE day
8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answers
Answer:
They have room for 166 more people.
Step-by-step explanation:
485 - 319 = 166
Answer:
166 people.
Step-by-step explanation:
If there is room for 485 and 319 people are coming, just subtract. 485-319=166.
Solve the inequality
Answers
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.
How can you use your equation to find the cost of 6 pounds of cashews?
Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.
Please reply quickly thanks : )
Answers
Answer:
Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.
Step-by-step explanation:
BRAINLIEST MAYBE???
Marta used a coupon to save $3.50 on a book she bought. when marta bought the book,she gave the Clark a $20.00 bill,and the coupon.the sales gave Marta $9.01 in change.
Answers
Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!
Step-by-step explanation: Thanks for the points!!!! :)
Element X is a radioactive isotope such that every 40 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 110 grams, how much of the element would remain after 29 years, to the nearest whole number?
Answers
Answer:67 or 66.549674907
Step-by-step explanation:
Man women baby
help me please and you will be legend and nice
Answers
Pls answer asp!!!! Pls
Answers
Answer:
C I think
Step-by-step explanation:
hope it's correct
Answer:
im 92.2% sure its A because 70 is what he had while 27 is after taking the 18 but i might be wrong so your better off with someone elses answer
Step-by-step explanation:
what is 20 percent of 90?
Answers
Answer:
18
Step-by-step explanation:
Help plz ^-^ will give brainliest!
Answers
Answer:
E
Step-by-step explanation:
I took the test too!
This scatter plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
A 3 inches
B 5 inches
C 7 inches
D 8 inches
Answers
The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.
Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
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