Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.
Answers
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
[tex]\frac{L}{33} =4[/tex]
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
Related Questions
Eldrick finished at the percentile of a men's tennis league with players in it. How many tennis players finished above him
Answers
Answer:
The number of tennis players who finished above Eldrick are 20 players.
Step-by-step explanation:
Note: The question is not complete as the data in it are omitted. The complete question is therefore provided before answering the question as follows:
Eldrick finished at the 77th percentile of a men's tennis league with 88 players in it. How many tennis players finished above him?
The explanation of the answer is now given as follows:
The 77th percentile refers to the number of men's tennis league players below (inclusive) which 77% of the players can be found.
Therefore, we have:
Remaining percentile = 100th - 77th percentile = 23rd percentile
The remaining 23rd percentile refers to the number of men's tennis league players above (exclusive) which 23% of the players can be found.
Therefore, the number of tennis players who finished above Eldrick can be calculated as follows:
Number of tennis players who finished above Eldrick = 23% * Number of players in the league = 23 * 88 = 20.24
Rounding to a whole number, we have:
Number of tennis players who finished above Eldrick = 20
you had $20 at the beginning of the week you worked 10 hours during the week having $70 how much do you earn each hour
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Answer:
You need more deatils, did you work 24 hours per day or 9 hours. my question is how many hours a day did you work?
which shape has sides that are straight and connected?
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Answer:
The first shape
Step-by-step explanation:
y
44
3
2-
-3
-2
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Answers
Answer:
-1
Step-by-step explanation:
-1 is the slope of the line
5) Choose which postulate proves the triangles congruent.
Answers
Answer:
AAS
Step-by-step explanation:
HEHE
ΔBAC and ΔDAC are the congruent triangles by ASA postulate of the congruence of two triangles.
In ΔBAC and ΔDAC,
Given properties are,
AC bisects ∠BADAC bisects ∠BCDBy using these properties,
∠BAD ≅ ∠DAC (Given)
∠BCA ≅ ∠DCB (Given)
AC ≅ AC (Reflexive property)
ΔBAC ≅ ΔDAC (ASA postulate of congruence of two triangles)
Therefore, ΔBAC and ΔDAC will be congruent by ASA postulate for the congruence of two triangles.
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. A fence encloses a triangular field. There is
a vertical wooden fence post at each corner
(vertex) of the field, and vertical
Posts
all
along the fence, placed 5 feet apart. If the
sides of the field measure 20 feet by 35 feet
by 25 feet, how many posts are there
altogether?
Answers
Answer:
16 postsStep-by-step explanation:
Sides are:
20 ft, 25 ft and 35 ftThere are following number of posts on each of the sides:
20 ft side ⇒ 20/5 = 425 ft side ⇒ 25/5 = 535 ft side ⇒ 35/5 = 7Total number:
4 + 5 + 7 = 16 postsPip can type 90 words a minute.
How many words can be typed in 10.5 minutes?
Answers
Answer:
the answer is 945
Step-by-step explanation:
simple math 90 x 10 = 900
.5 = 45
900 + 50 = 945
Answer:
945 minutes
Step-by-step explanation:
just multiply 90 by 10.5 buddy
Alex has 48 stickers this is 6 times the number of stickers max has how many stickers does max have
Answers
Answer:
8
Step-by-step explanation:
Answer\
Max has 8 because 48 divided by 6 is 8
Step-by-step explanation:
Is the square root of 144, 12?
Answers
Answer:
Yes, square root of 144 is 12
Step-by-step explanation:
12 times 12 is a perfect square and it is 144.
Answer:
yes it is
Step-by-step explanation:
9 cm. 12 cm. 15 cm
Is this a right triangle or not a right triangle
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Answer:
It is a right triangle.
Step-by-step explanation:
bro isnt that a scalene triangle
Write the slope intercept form equation of the line when m =-1 and b =-2 (write your answer with no spaces and any fraction with “/“)
Answers
Answer:
y = -x - 2
Step-by-step explanation:
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Complete the sentence to explain how to use mental math to express 12/25 as a percent.
Multiply the numerator and the denominator by______ to get ---------
100
which is the same as ___%
Answers
Answer:
the first one is 4 i think and the last one is 48 percent. im not sure if the dotted line is a underline tho
Step-by-step explanation:
:))
Multiply the numerator and the denominator by 100 to get 48/100
which is the same as 48% .
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
Fraction = 12/25
To convert into percentage
divide the number by 100 and multiply by 100.
= ((12/25)×100)/100
= 12 × 100/25×100
= 48/100
= 48%
Hence, 48% is the expression of 12/25 as percent gotten by multiplying and dividing with 100.
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0 Help please!
If you know geometry please help!
Answers
Answer:
D
Step-by-step explanation:
It's an Icoseles triangle do the two bottom angles are equal. 50+ 50 = 100. All triangle angles add up to 180 so 180 - 100 = 80
Answer:
Option D - 80
Step-by-step explanation:
The triangle is an isosceles triangle, which means that two angles and sides are the same. That means that other side is also 50°. All the angles in a triangle add up to 180°. Since we know two of the angles, we should know what the angle x is. We can write it as 50 °+ 50° + x = 180°. You can add 50° and 50° to get 100°. Now you have 100° + x = 180°. Subtract 100° from both sides to get x = 80°.
Hope this helps! :)
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Answer: where is the homework that is needing help
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Answer:
X - B = -2
Step-by-step explanation:
You’re welcome
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Answer:
30
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Which biconditional is false?
F A person is eligible to attend the
club meetings if and only if that
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G A person can practice medicine in
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person has a valid medical license.
H A person can legally drive a car if
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driver's license.
J A student participates on the
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Choice G.
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PLEASE HELP ME STATTTTTTTTT
A real estate agent has $61 to spend on newspaper ads. Each ad costs $7. After buying as many ads as she can afford, how much money will the real estate agent have left over?
Answers
Answer:
8.714285 repeated
Step-by-step explanation:
Answer:
$5
Step-by-step explanation:
The real estate agent can buy 8 ads for a total of $56. Next you do $61 minus $56 which equals $5. If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
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ENJOY
OLMOST MERRY CRISLER
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Answer:
Step-by-step explanation:
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Answer:
2)
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3)
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Step-by-step explanation:
An adult ticket for hypnotist's show cost $15. A children's ticket for the hypnotist's show cost $9. The number of adult tickets sold 5 more times the number of children's ticket sold. A total of $1512 is taken in for ticket sales. How many of each type of ticket is sold.
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2. 110 adult tickets and 22 children's tickets
3. 10 adult tickets and 90 children's tickets
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Answers
because number 2 and 4 are under $1512 and 3 is over
Answer:
The answer is B, or the second one.
90 Adult tickets and 18 Children's tickets
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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