Help, please! In the diagram, FH = 1/3AC and 3FG = AB. What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?
1.
2.
3. BC/GH = 3
4. BC/GH = 1/3
Answers
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Explanation:
The order of the letters is very important. This is because the order tells us how the angles pair up and that leads to telling us how the sides correspond to one another.
Note with ABC and FGH, the first and last letters are AC and FH respectively. These sides correspond. We're told that FH is 1/3 as long as AC when your teacher wrote FH = (1/3)*AC; we can solve for AC to get AC = 3*FH.
Going back to ABC and FGH, we see that the first two letters of each are AB and FG. This is another pair of corresponding sides. We're told that 3*FG = AB. So AB is three times longer than FG.
So far we can see that
AC = 3*FHAB = 3*FGThe missing information we need is that BC = 3*GH. If we know this, then we can use the SSS similarity theorem to prove the triangles are similar. Note how BC are the two last letters of ABC while GH are the last two letters of FGH.
Starting with BC = 3*GH, we can divide both sides by GH and we get BC/GH = 3.
Related Questions
Make x the subject of the formula
X
y = x/a+b
Answers
Step-by-step explanation:
[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]
Find the slope of the line that passes through (4, 1) and (10, 6).
Answers
Answer:
5/6
Step-by-step explanation:
The equation for slope is
(difference in y) / (difference in x)
So:
6-1/10-4
5/6
So the slope is 5/6
Mortgage loan of $46,000.00.
Interest rate is 5 percent.
Monthly payment is $269.10.
How much of the first monthly payment is for interest?
Answers
Answer: $191.67
Step-by-step explanation:
When paying back mortgages, the monthly payment has two components: an interest payment component and a principal repayment component.
The interest payment component is based on the total amount of debt still to be paid at the time and the principal repayment component is the rest of the payment after the interest has been deducted.
This interest is in a yearly rate so should be combined to a monthly rate as the payments are monthly:
= 5% / 12
= 5/12%
Interest = Mortgage remaining * interest rate
= 46,000 * 5/12%
= $191.67
An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?
Answers
Answer:
4x + 11
Step-by-step explanation:
Here all sides of the triangle have the same length. Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is
12x + 33
------------- = 4x + 11
3
math is hard im not sure for this
Answers
Answer:
c. 39 miles per hour
Step-by-step explanation:
If you look at the graph, each hour has a marking of an interval of 39, starting at (1,39).
(hope this helps-and math gets better)
Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16
Answers
James purchased 3 pounds of steak for $21. Which equation can be used to determine the cost, y, to purchase
x pounds of steak?
Answers
Answer:
i belive its A
Step-by-step explanation:
y= 7 x or 21=7x3
y = 21 x=3
21 = 7x3
7x3=21
NEED NOW PLZ !!!!!!!!!!!!!!!!!!!!!!1
What is the area of the trapezoid?
Answers
Answer:
it 40 :)
Step-by-step explanation:
Answer:
1476
Step-by-step explanation:
What is the slope of the line that passes through the points (0,5) and (2,8)
Answers
So m=3/2
Plz help due tomorrow
Answers
Answer:
C.
Step-by-step explanation:
p/6+(q+8)
They are just adding not multiplying.
C is the answer they just changed the order of the numbers
like saying 3+4+5=5+4+3
On a certain hot summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $537.50.How many children and how many adults swam at the public pool that day?
Answers
Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
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Answers
Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour
bottle 1: $2.97/100 oz = unit rate
bottle 2: $5.78/200 oz=unit rate
BOTTLE 1 =0.0297
BOTTLE 2 =0.0289
how did you solve 60 times 400
Answers
Answer:
24000
Step-by-step explanation:
You just multiply 60 times 400
=24000
Answer:
24,000
Step-by-step explanation:
trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000
Your bank account balance is $46.74. You deposit $60.86, then withdraw $134.70. What is your new balance?
Solve to get points!
Answers
Answer:
The answer is 6/3>2/3
Help me pls i dont understand this
Answers
Step-by-step explanation:
Notice that:
15x = 5 * 3x and 10y = 5 * 2y.
Since there is a common factor of 5,
we can take out the factor.
=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).
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Answers
Answer:B and D yes, A and C no
Step-by-step explanation:
pls brainliest
Aimee noticed her plant grew Two-thirds of an inch every week since it sprouted. She created this graph to show its growth.
On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (3, 2) and (6, 4) are plotted.
Which statement about Aimee’s graph is true?
Aimee’s graph is correct because the ratio Two-thirds is to 1 is equal to 2:3, which her graph shows in each point.
Aimee’s graph is incorrect because the ratio Two-thirds is to 1 is equal to 3:2, so she should have switched her points.
Aimee’s graph is correct because it shows 3 inches of plant growth every two weeks.
Aimee’s graph is incorrect because it shows 2 inches of plant growth with each point instead of Two-thirds of an inch.
Answers
Answer:
It's C
Step-by-step explanation:
I got a 100% on edge, have a delightful day Chicos y chicas!
Answer: A
Step-by-step explanation:
For each graph shown below, select the correct description for slope and y-intercept. In the fourth column, create an equation that can be used to describe the function shown in the graph.
Answers
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
Answers
Please help me on this and thank you!
Answers
Answer:
D
Step-by-step explanation:
We open it up, so 2/3x + -3 + -2 -1/3x, -3 + (-2) = -5.
2/3x - 1/3x - 5, 2/3x - 1/3x = 1/3x
Our final answer is 1/3x - 5
Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answers
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
The length of a rectangle is 1 7/9 in and its width is 3/4 of its length. Find the area of this rectangle.
Answers
Answer:
The answer is 4/3 or 1.33 square units.
Step-by-step explanation:
Length = 1 + 7/9 = 16/9 units.
Width = 3/4 units.
Since area of rectangle = Length * Width
Area = 16/9 * 3/4 = 4/3 square units.
What is the 87th term of the arithmetic sequence of 12,0,-12
Answers
Step-by-step explanation:
12,0,-12
[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]
please help. see doccument below
Answers
Answer:Yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
we can start by dividing finding how many times 60 goes into 156.
It goes in 2 times with 120 miles.
we can subtract 120 from 156
this leaves us with 36 miles.
36 > (60 * .5)
between 7:30 and 10:00 there are 2.5 hours.
the car ride would take 2.6 hours meaning Kim wouldn't arrive before 10 am.
If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days
Answers
Answer:
a) 34.3%
b) 49%
Step-by-step explanation:
In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..
70% / 100 = 0.70
Now we multiply all of them together and multiply the product by 100 to get the percentage.
0.70 * 0.70 * 0.70 = 0.343
0.343 * 100 = 34.3%
34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities
0.70 * 0.70 = 0.49
0.49 * 100 = 49%
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Answers
6g-8-8g-3
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Answer is: -2g-11
Select the correct answers. Which two words or phrases indicate a cause and effect relationship? O first of all O likewise O for this reason O before because
PLEASE HELP ASAP
Answers
Answer:
D. because
Step-by-step explanation:
ok
The sum of 3 times a number and 16 is more than 25. Write an inequality and solve it.
Answers
Answer:
3x+16 >= 25 (Greater than or equal to) Solved: x>= 3
Step-by-step explanation:
I dont know how to put the line under the > sign so >= means greather than or equal to
At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answers
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because . Does Noah's method always work? Explain why or why not.
Answers
Answer:
Yes Noah's method will always work
Step-by-step explanation:
Noah's method states that:
To find 20% of a number he divides the number by 5. For example, 20% of 60 is 12.
Noah's method will always work because:
20% = 20/100
Simplifying 20/100 to the least fraction = 20/100 = 1/5
20% of x = 1/5 × x
= x/5 = x ÷ 5
Applying this to the examples
20% of 60 = 1/5 × 60
= 60/5 = 12.
Therefore, Noah's method will always work.
