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The triangles △ABC and △DEF are similar.
Which set of measurements prove that the two triangles are similar?
Answers
The two triangles are similar if the ratio of the corresponding sides are equal.
What is ratio?Ratio is a mathematical comparison of two or more quantities expressed as a fraction. A ratio can be expressed as a fraction, a decimal, or in the form of words. Ratios are used to compare items or quantities in a variety of different contexts, from mathematics and science to business and daily life. For example, a ratio of 2:1 indicates that for every two items, there is one of the same item.
This means that the ratio of side AB to side DE must be equal to the ratio of side BC to side EF, and the ratio of side AC to side DF must be equal to the ratio of the remaining sides.
For example, if side AB is 10 cm and side DE is 5 cm, then side BC must be 10 cm and side EF must be 5 cm for the two triangles to be similar. Similarly, if side AC is 8 cm and side DF is 4 cm, then the remaining sides must be 8 cm and 4 cm respectively.
To learn more about ratio
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Related Questions
What is the slope of this line ?Helpppp me :(
Answers
Answer:
-2
Step-by-step explanation:
Use the method, which is [tex]\frac{rise}{run}[/tex].
The graph below shows an example of rise over run.
After you found the values using rise over run, then divide.
[tex]\frac{-2}{1}[/tex] = -2
Hence, the slope of the line is -2.
3/2+2m=7/2, find what the answer is
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Answer:
m = 1I HOPE IT HELPS ❤️❤️If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?
Answers
Answer:
121.80
Step-by-step explanation:
how many chimps will 9 bananas feec
Answers
Answer:
9
Step-by-step explanation:
if the monkeys are nice sharing is caring
Help needed very much
Thankd
Answers
Answer:
b
Step-by-step explanation:
i think it b i might be wrong but the picture is weird so
please ignore the numbers at the top.how do i graph this please help ASAP.
Answers
Replace x with the x-coordinates and solve to find the y.
Answer:
(0,4) is the y-intercept and 3x is the slope
HELP ME PLEASEEEEEEEEEE
Answers
Answer: It should be the top option
Step-by-step explanation:
Answer:
No the correct answer is the 2nd option
Step-by-step explanation:
it equals 927,000 which is how much the expression (9.5 x 10 ^5) - 23000 equals
please help me making brainliest if correct
Answers
Answer:
SSS
Step-by-step explanation:
each of the sides are congruent to another side
Which angle corresponds to < 8?
Answers
Answer:
b
Step-by-step explanation:
A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?
Answers
Answer: 12 miles per gallon
trust
me
on
my
mama
this
is
correct
my
g
Answer:
The vehicle can travel 12 miles per gallon of gasoline
Step-by-step explanation:
Proportions
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles.
It's required to find the rate of miles per gallon of gasoline consumption of the vehicle.
First, we convert all the mixed fractions to improper fractions:
[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{9}{8}[/tex]
[tex]13\frac{1}{2}=13+\frac{1}{2}=\frac{27}{2}[/tex]
The rate of consumption is:
[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}[/tex]
Operating:
[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}=\frac{27}{2}\cdot\frac{8}{9}=12[/tex]
The vehicle can travel 12 miles per gallon of gasoline
A meter is a unit of length approximately equal to 39.37 inches. If someone is 1.82 meters tall, what is his or her approximate height in inches?
Answers
Answer:
64.5668 inches tall
Step-by-step explanation:
Which graph represents the function g(x) = |X + 4| + 2?
Answers
Answer:
B on edge
Step-by-step explanation:
The graph that represents the function g(x) = |x + 4| + 2 is graph A.
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function g(x) = |x + 4| + 2 is a transformation of the absolute value function f(x) = |x|.
The absolute value function has a V-shaped graph that passes through the origin with a slope of 1 on both sides.
When a constant is added to the absolute value function, it shifts the graph vertically.
In this case, the constant 4 is added inside the absolute value, which shifts the graph horizontally to the left by 4 units.
Next, the constant 2 is added to the result of the previous operation, which shifts the graph vertically upwards by 2 units.
The graph of g(x) = |x + 4| + 2 is a V-shaped graph that has been shifted 4 units to the left and 2 units upwards, as shown below:
The vertex of the V-shape is at (-4, 2), where the absolute value function crosses the x-axis.
The slope of the graph on both sides of the vertex is 1.
Thus,
The graph that represents the function g(x) = |x + 4| + 2 is graph A.
Learn more about functions here:
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is the change constant??
if so how do you know?
Answers
Write these numbers in standard form.
a) 200 000
b)
80 000
c)
900 000 000
d)
10 000 000 000
Answers
Answer:
2X10^5
8X10^4
9X10^8
1X10^10
Step-by-step explanation:
Latoya is saving money at a constant rate to buy a new computer. The table below shows the amount of money that Latoya still needs to purchase the computer.
How many dollars is Latoya saving each week?
Answers
Answer:
630-450= 180
there were three weeks between these two amounts
180/3 = 60
450-330= 120
there were two weeks between these two amounts
120/2 = 60
330-210 = 120
again two weeks between amounts
120/2 = 60
It can now be said that LaToya is saving $60 per week
PLEASE HELP I WILL IVE BRAINLEST IF YOU GUYS KNOW HOW TO!
Answers
Answer:
Its D.
Step-by-step explanation:
x^3+18x=0 solve by factoring
Answers
ANSWER:
STEP BY STEP EXPLANATION:
[tex]x( {x}^{2} + 18) = 0[/tex]
[tex]x = 0[/tex]
OR
[tex] {x}^{2} + 18 = 0[/tex]
[tex] {x}^{2} = - 18[/tex]
[tex]x = - \frac{1}{18} [/tex]
Can a triangle be classified as both isosceles AND obtuse? Why or why not?
Answers
karen is reading the great gatsby in English class. So far, she has read 30 pages. If she reads 18 pages a day and there are 192 pages in the book, how many days will it take her to finish the book
Answers
Answer:
it will take her 9 days
Step-by-step explanation:
192- 30 = 162
162 / 18 = 9
Answer:
9 days
Step-by-step explanation:
192-30=162
162/18=9
There is 192 pages in total and if she has read 30 pages already you need to work out how much is left so you do 192-30. That would be 162 pages. It says that she reads 18 pages a day so now you need to divide 162 by 18 pages to see how many days it will take for her to finish the book. that is how the answer is 9 days.
I hope this helps
So I have a question. Its a really good question. I'm not sure you'll get it though. Okay so my question is if a train leaves a station at 12 o'clock and moves at a constant speed of 90 mph and another train leaves a different station 2000 miles away in the opposite direction at 2 o'clock traveling at 80 mph. When will both trains cross each other?
Answers
Answer:
12:42 (approximately)Step-by-step explanation:
Train 1 will travel for 2 hours before the second train leaves.
The distance at 2 o'clock is reduced by 2*90 = 180 miles and now is:
2000 - 180 = 1820 milesLet the trains spend x hours before crossing, then we have following equation for the distance:
x(90 + 80) = 1820170x = 1820x = 1820/170x = 10 120/170 = 10 12/17 hours ≈ 10 hours and 42 minutesThe trains will cross at:
2 o'clock + 10 h 42 min = 12:42The time when trains cross each other will be approximately 12:42
I WILL GIVE BRAINLIEST JUST PLEASE HELP ME
IF 2 fish is in the water and 3 on land how many will die
Answers
Answer:
3 lol
Step-by-step explanation:
When 0 is the divisor or the denominator, the quotient will be?
Answers
Answer: formula, dividend=divisor×quotient+rem.
Step-by-step explanation: What is the quotient of a number divided by 0 ? if we divide a number by 0 , quotient will be zero and remainder will be the number itself. by formula, dividend=divisor×quotient+rem.
Blake thinks that the mass of a baby mouse will increase similar to what is shown on the graph below
Answers
Answer:
6 is the answer
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Trust Me Im Doing It Now.
Please help me ill make brainliest
Answers
Answer:
I'm not that sure but I think it is the 3rd one :3
Step-by-step explanation:
Answer:
[tex]26^{9}[/tex]
Step-by-step explanation:
I am assuming that you are multiplying 26 by [tex]26^{8}[/tex]
so the answer is [tex]26^{9}[/tex]
A bike rental charges a flat fee of $500. As well as $0.05 every mile. If you spent$10 how many miles did you take the bike for? Write and solve an equation for this problem
Answers
Answer: 100 miles.
Step-by-step explanation:
Here , Flat fee = $ 5.00
Additional charge per mile = $ 0.05
Money spent = $ 10
Formula : Total Charge = Flat fee + (Number of miles ) x (Additional charge per mile)
Let x= Number of miles
Substitute values , we get
10 = 5 + 0.05x
⇒ 0.05x= 5
⇒ x = 100
Hence, I took bike for 100 miles.
Mark has a piece of wood that is 11 1/4 ft long. He cuts the piece of wood into as many 2 1/2-ft pieces as he can. How long is the leftover piece of wood?
Answers
Answer:
1.25 inches
Step-by-step explanation:
2.5 x 4 = 10
11.25 - 10 = 1.25
Katya earned $85 for 5 hours of work. Which equation below shows how much money (m) she'll earn for (h) hours of work? * ( please help me)
m = 5h
h = 85m
m = 17h
h = 17m
Answers
Answer:
m = 17h
Step-by-step explanation:
85/5 = 17 (she makes $17 per hour)
Therefore:
m = 17h
Answer:
h = 17m
Step-by-step explanation:
yup
You work at a car rental service. A customer returns a car with 4 3/5 gal of gas left in the tank. You add an additional 6 3/10 gal of gas. How many gallons of gas does the car have now
Answers
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with$12?
Answers
Answer:
Well all you have to do is 4x=12 but muiltuply whatever numbers add to 12.such as 3x4=12
Step-by-step explanation:
SOMEONE HELP FAST PLEASE!!!
Find the sum for the equation (2m + 2y + 5) and (1m + 7y - 10) where m=2 and y=-1
a. Remember! You need to plug in the values for m and y with the numbers provided.
Answers
Answer: 7
Now (1m+7y-10), again we plug in m=2 and y=-1. (1(2)+7(-1)-10). 1(2) is 2. 7(-1) is -7. So now (2+-7-10), and the addition sign and negative sign make it (2-7-10). 2-7 is -5 minus 10.
Answer: -15
Have a good day mate.
Answer:
-8
Step-by-step explanation:
2(2) + 2(-1) + 5 + 1(2) + 7(-1) - 10
(4 + -2 + 5) + (2 + -7 - 10)
7 + -15
= -8