Answers
Answer:
They are congruent bc they are the same size and shape
Answer:
Congruent by SAS
Step-by-step explanation:
As given by the diagram, we have two congruent sides already. From the set of parallel lines, we see that two angles are congruent because they are corresponding. Luckily, this angle falls between the two congruent sides, which gives you the proof of SAS.
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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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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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 :).
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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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 choose all linear functions with slope that is greater than jamals linear function.
Answers
Answer:
a b
Step-by-step explanation:
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
Which of the following numbers
does NOT have the same value as
one quarter?
Answers
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
It’s not b!!!! Help me please
Answers
Answer:
D maybe? im not sure
Step-by-step explanation:
What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9
Answers
Answer:
Multiply by 18
Step-by-step explanation:
Given
[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]
Required
Eliminate the fraction
To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)
This is show below:
List out the multiplies of 3, 6 and 9
[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]
[tex]6 = 6,12,18,24,30...[/tex]
[tex]9 = 9,18,27...[/tex]
The least common multiple is 18.
Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;
See proof
[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]
[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]
[tex]6x + 3x = 11 * 2[/tex]
[tex]6x + 3x = 22[/tex]
The fraction is eliminated
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
a television that usually sells for $499 is on sale for 10% off. what is the discount of the television?
Answers
Answer:
The discount is $49.90 the final price is $449.10
Step-by-step explanation:
help me please and you will be legend and nice
Answers
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
2x+5y=10
x intercept=
y intercept=
Answers
Answer:
x= 0/-8
y= 0/5
Step-by-step explanation:
Brain-List?
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:
How to simplify 1/3a+2/5a
Answers
Answer:
The simplified answer is 11a/15
Step-by-step explanation:
Shsjsjnxnbshxjhdhsx
Solve each equation. Check your solution.
3(n - 7) = -30
Answers
3n-21= -30
3n = -9
n= -3
A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for eight hours?A grocery store sells a bag of 5 lemons for $2.00. What is the unit cost of each lemon in the bag?
Answers
Answer:
$160 0.4/lemon
Step-by-step explanation:
5 per car wash
12 cars in 3 hours
4 cars per hour times 8= 32 cars in 8 hours
32 times 5= 160
5 lemons for 2.00
Unit cost= 0.4 per lemon
What is the hardest subject in Middle School?
Answers
Answer:
in my middle school it was history
Step-by-step explanation:
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
Help plz ^-^ will give brainliest!
Answers
Answer:
E
Step-by-step explanation:
I took the test too!
A student decided to make random guesses for all the above 5 true/false questions. What is the probability of this student getting one or more correct answer
Answers
Answer: 25%
Step-by-step explanation:
The probability of getting at least one correct answer is 255/256 ≈ 0.996
The probability of getting exactly one correct answer is 5/256 ≈ 0.0195
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
As there are two possible results for each of the 5 questions, there are
2⁵ = 256 possibilities total.
To calculate the probability, then, we only need to know how many ways the student can get one correct answer.
The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.
Probability of at least one correct answer:
There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.
Thus, the probability of getting at least one correct answer is
255/256 ≈ 0.996
Probability of exactly one correct answer:
There are 5 ways the student can get exactly one correct answer
Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195
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what is 20 percent of 90?
Answers
Answer:
18
Step-by-step explanation:
what are the missing angles?
Answers
please help solve this.
Answers
N=-8
I think that’s the answer am not sure but there
help me.............
Answers
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
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
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???