Use similar triangles and a proportion to find the length of the lake shown here.
(Hint: The side 92 m long in the smaller triangle corresponds to side of 92 m + 112 m = 204 m in the larger triangle.)
N= m
Answers
Answer: n = 152 m
Step-by-step explanation:
write a proportion to find n.
46/n = 92/204
n = 102 m
The length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.
What is similar triangle's proportion property?In the two similar triangle, the ratio of two sides of one triangle is equal to the ratio of corresponding sides of the other triangle.
In the figure shown,
The length of the base of the smaller triangle is 92 meters, The height of this triangle is 46 meters.The total length of the base of the larger triangle is,
[tex]112+92=204\rm\; m[/tex]
The height of this triangle is n meters, which is equal to the length of lack. Thus, by the similar triangle proportion property,
[tex]\dfrac{n}{204}=\dfrac{46}{92}\\n=\dfrac{46\times204}{92}\\n=120\rm\; meters[/tex]
Thus, the length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.
Learn more about the similar triangle here;
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Related Questions
Tacos from the taco truck or 60% off on Tuesdays Erica by the taco for 1.50 on Tuesday she wants to know the regular price of a taco quick answer
Answers
Answer:
3.75
Step-by-step explanation:
i did the lesson its correct :)
Answer:
Regular Price: 100%
$3.75
Sale price: 40%
$1.50
Discount:
60%
$2.25
Which equation can be used to find the regular price, r, of a taco?
1.5 = 0.4r
Step-by-step explanation:
Read the answers correctly, or you might be typing in the wrong answer.
Everything is all correct, Thank me later :)
Question 3:
Solve the inequality 3x – 8 > 16
Answers
Answer:
x is greater than 8
Step-by-step explanation:
3x-8>16
3x>24
x>8
The solution of the inequality is : x is greater than 8.
Here, we have,
given that,
the inequality 3x – 8 > 16
now, we have to Solve the inequality 3x – 8 > 16
so, we get,
3x-8>16
adding 8 on both side, we get,
=>3x>24
dividing both side by 3, we get,
=>x>8
Hence, The solution of the inequality is : x is greater than 8.
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Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
Write an expression to represent the total cost of the shirts in two different ways.
Enter the correct answers in the boxes.
Answers
Answer:
2S + 0.065(2S)
Step-by-step explanation:
Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S
a tax is a compulsory sum levied on goods and services. tax increases the price of a good
The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)
This gives = 2S + 0.065(2S)
Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S
We want to write two expressions that represent the total cost of the shirts, the expressions are:
Cost = P*(1.065) + P*(1.065)
cost = P*2.13
We know that Benita buys two shirts for the same price, P.
Then at this moment. the total cost is just:
cost = 2*P
Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:
P' = P*(1 + 6.5%/100%) = P*(1.065)
Then the total cost is twice that amount, written as:
Cost = P*(1.065) + P*(1.065)
This can be one of the two expressions.
Now to get the other expression, we just simplify the above one:
cost = 2*P*(1.065) = P*2.13
If you want to learn more, you can read:
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Determine the value of m∠DCB.
Answers
Answer:
Angle DCB is Equal to 78
Step-by-step explanation:
4x+2 + 3x+3 =180
7x +5=180
7x=175
x=25.
Then put the x in the 3x+3
3(25) +3 = 78
so DCB = 78
How can you convert 18ft to CM?
Answers
One-third of a number decreased by six equals eight. What is the number?
6
Answers
Answer:
The number is 42.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: Two concentric circles with AB tangent to smaller circle at R
Prove: AR = RB
Answers
Step-by-step explanation:
The statements are
1.Draw Oa,Ob
2.OR is perpendicular to AB
3.OR is congruent to OR
4.OA is congruent to OB
5.Triangle AOR is congruent to BOR.
6.AR is congruent to AB.
The reasons are
1.Auxalaritly lines
2 Radius are perpendicular to tangent
3.Reflexitive
4.Radii of same circle are equal
5.HL theorem, (since we know hypotenuse and a leg)
6.CPCTC
Consider the system of equations below.
4x – 8y = 12
11x + 7y = 33
Answers
Answer:
x = 3
y = 0
Step-by-step explanation:
When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both
Answers
Answer:
yes
yes is answer of this equation
Answer:
answer is yes
Step-by-step explanation:
Help Asap if i can i will give brainliest
Answers
Answer:
10x+2y
8c+2
0
Step-by-step explanation:
How many terms are in the expression below?
3x3+4x+7
Answers
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.
Tell me if I'm wrong and please explain.
Help Fast!!! What is 65 divided by 2,210 in a number not percentages or a fraction.
Answers
Answer:
0.02941176...
— Used a calculator for this, so it is guarantied correct! Hope this helps. Brainliest appreciated (and very much needed)
Need help as fast as possible please
I will mark BRAINLIST only for correct answers :)
Thank you!
Answers
Answer:
Correct Answer
Step-by-step explanation:
Mark as brainliest now NOW!
Please help me will give brainlest to correct answer and simple/small explanation
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Answer:
the measure of the angle is 72
x=36
Step-by-step explanation:
we can make an algebraic equation using the info given
2x+80=152
2x=72
x=36
the measure of the angle is 72
Answer:
x = 36, the measure of the angle is 72
Step-by-step explanation:
We can see this because Angle 2x and Angle 72 are verticle angles. Based on this information we know that verticle angles are congruent to each other, meaning the are the same. So that leaves us with an equation to figure out x.
2x = 72
[tex]\frac{2x}{2}[/tex] = [tex]\frac{72}{2}[/tex]
x = 36
XYZ will be translated so that the coordinates of X are (5,11)
Answers
Answer: B
Step-by-step explanation:
The normal price of a computer game is £40
The price is reduced by 1/2 in a sale.
Work out the price of the computer game in the sale.
Answers
Answer:
The answer is £20
Step-by-step explanation:
Since the game is half-priced, we just have to divide the original price by 2.
£40/2 = £20
A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?
Answers
Answer:
188.4
Step-by-step explanation:
because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.
Answer:
area = length×wide=15.7×12=188.4ft²
What is the greatest common factor of 48, 24, and 32?
Answers
Answer:
8
Step-by-step explanation:
Answer:
It is 2
Step-by-step explanation:
The greatest common factor is 2 because 2×16=32
also works for 24 because 2×24=48
then yes it works again for 2×12=24
division is also very helpful
What is the slope of the line that passes through the points (3, 4) and (-8, -2)?
Answers
Answer:
6/11
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-4)/(-8-3)
m=-6/-11
m=6/11
PLS ASSAAAAPPP IMMA CRY( MAY U PLS SHOW HOW TO DO IT LIKE THE WORK)!!
Darwin's house is located on the edge of a park. He leaves his house and walks north along the edge of the park for 5 blocks. He turns and walks 12 blocks west in the park. He then walks directly back to his house in a straight line across the park. Determine the total distance of his trip. HINT: you must find the length of the hypotenuse
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Answer:
here you go
Step-by-step explanation:
Plz help me out xx tysm
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Answer:
see explanation
Step-by-step explanation:
let the number be x , then
[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation
Answer:
x / 2 = 44.3
Hope that helps!
Step-by-step explanation:
If 100 soldiers can eat 100 dozen rations in a week, how long will it take 400 soldiers to eat 400 dozen rations?
Answers
Answer:
1 week
Step-by-step explanation:
100 soldiers / 100 dozen = 1 soldier / 1 dozen
400 soldiers / 400 dozen = 1 soldier / 1 dozen
Therefore, it also takes a week for 400 soldiers to eat 400 dozen rations
Given h(x) = 4x−4, find h(−3)
Answers
Answer:
-16
Step-by-step explanation:
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
Answers
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.
Or you can do it using the Pythagorean Theorem directly:
9^2 + 12^2 = 15^2
and that is true.
Answer:
yes it is.
Step-by-step explanation:
pythagorean theorem. A^2 + B^2 = C^2
Ex 9^2 + 12^2 = 15^2
Priya has a recipe for banana bread. She uses 7.5 cups of flour to make 3 loaves of banana bread. How much flour does Priya need to make 1 loaf of bread?
Answers
Answer:
It would take 2.5 cups of flour to make 1 loaf of bread.
Step-by-step explanation:
You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.
7.5/3 = 2.5
it would take 2.5 cups of flour to make 1 loaf of bread.
A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?
Answers
Answer: 26%
Step-by-step explanation:
The formula to calculate the percentage markup is given as:
= Selling price - Cost / Cost price × 100
where selling price = $15750
Cost price = $12500
Percentage markup = ($15750 - $12500) / $12500 × 100
= $3250/$12500 × 100
= 26%
Answer: 26
Step-by-step explanation:
12,500 - 15,750= 3250
A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help
Answers
Answer:
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Step-by-step explanation:
1. What is (6^1/2 x3/4 simplified?
Answers
Answer:
1/ 6
Step-by-step explanation:
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Answer:
1.A
2.C
3.D
4.B
5.C
6.A
Please and thanks!!!