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.
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;
Pip can type 90 words a minute.
How many words can be typed in 10.5 minutes?
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
Please help!! Will mark brainilest ☺️
Answer:
B
Step-by-step explanation:
x = -3
Means we go 3 units to the left of the origin and draw a vertical line ( up and down)
Answer:
B
Step-by-step explanation:
B because , it would be a straight line and it needs to cross x=-3. Its straight because there's no y. B is the only one that actually has -3 as x so B would be the only correct answer.
What is the slope intercept form for (2,0)(4,6)
Answer:
I think its y=3x+6 but if im wrong sorry
Is the square root of 144, 12?
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:
Eldrick finished at the percentile of a men's tennis league with players in it. How many tennis players finished above him
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
. 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?
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 posts9 cm. 12 cm. 15 cm
Is this a right triangle or not a right triangle
Answer:
It is a right triangle.
Step-by-step explanation:
bro isnt that a scalene triangle
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)
can someone help me find the missing numbers
Please, help me with my homework! Thank you!
Answer: where is the homework that is needing help
I need help please please.
Answer:
C
15(2/3)=10
15/1 x 2/3 = 10
30/3=10
10=10
Step-by-step explanation:
Answer:
C apparently from what the guy above me said
which shape has sides that are straight and connected?
Answer:
The first shape
Step-by-step explanation:
What is the solution to the equation below? Enter the answer in the format p=#, keep your answer as a fraction if necessary. -2/3p + 1/6 = 7/10
Let's solve your equation step-by-step.
-2/3p+ 1/6= 7/10
Answer:
p= -4/5
Help now playing 10 point
Answer:
greatest sum is: 11 1/4 plus 8
greatest difference: is 11 1/4 plus -20.8
greatest product is: 8 times 11 1/4
greatest quotient is: 11 1/4 divided by 3.75
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
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?
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.
1. 21 adult tickets and 110 children's tickets
2. 110 adult tickets and 22 children's tickets
3. 10 adult tickets and 90 children's tickets
4. 10 adult tickets and 18 children's tickets
Answer:
The answer is B, or the second one.
90 Adult tickets and 18 Children's tickets
Step-by-step explanation:
(90 x 15) + (18 x 9)
Need help please! Will give brainleist
Answer:
D is 16 degrees and C is supposed to have 2 angles so C is half of 85 so 42.5 degrees.
Step-by-step explanation:
answer helppppp plsss i’m on quizzzz
Problem: Suppose that on-the-job injuries in textile mill occur at the rate of 0.1 per day. What is the probability that two accidents will occur during the (five-day) work week
Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758
Step-by-step explanation:
Given that;
injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1
probability that two accidents will occur during the (five-day) work week = ?
T= 5
so, the average number of on the job injuries for five days will be;
λT = 0.1 × 5
= 0.5
now if X follows Poisson distribution, hemce
P( X=k ) = [e^-λT (λT)^k] / k!
so the probability that two (2) accidents will occur during the (five-day) work week will be;
P( X=k ) = [e^-0.5 (0.5)²] / 2!
= (0.6065 × 0.25) / 2
= 0.1516/ 2
= 0.0758
the probability that two accidents will occur during the (five-day) work week is 0.0758
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 “/“)
Answer:
y = -x - 2
Step-by-step explanation:
y = mx + b
Pls help 2 and 3!!!!!!!!!
Answer:
2)
d. -1 1/2
3)
c. 21 1/2
Step-by-step explanation:
5) Choose which postulate proves the triangles congruent.
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.
Learn more,
https://brainly.com/question/19689509
y
44
3
2-
-3
-2
2
3
4
-3+
-4
V
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
-1 is the slope of the line
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 ___%
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.
Learn more about percentage here:
https://brainly.com/question/14979505
#SPJ3
ENJOY
OLMOST MERRY CRISLER
If the height of a falling object after a certain amount of time is given by the equation , which of the following is true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.
Answer:
B
Step-by-step explanation:
Time can't go backwards
Today Alice is five times as old as Todd in 10 years she will only be 3 times as old what is there age now
Answer:
30
Step-by-step explanation:
Helppppppp ASAP plsss
If p = 2, insert the value of p.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
so p^3 = 8
Which situation can be represented by the equation 4d+5=29