Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
manteo made the model below to represent the number of miles he swims in the pool each week for exercise
Answer:
What model?
Step-by-step explanation:
In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
Anyone knows this please help me
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
how do you differentiate more and more than? can these terms be used in mathematics? how?
Answer:
The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.
Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .
Answer:
70
Step-by-step explanation:
can anyone also help me solve this and explain?
Step-by-step explanation:
A'B'/AB = 5.1/1.7 = 3
B'C'/BC = 7.2/2.4 = 3
A'C'/AC = 7.5/2.5 = 3
These ratios are equal to the scale factor. These ratios are the scale factor.
8 to the 7th power/ 8 to the second power
Answer: 32768 or [tex]8^5[/tex].
Step-by-step explanation:
[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152
[tex]8^2[/tex]= 8x8 = 64
Dividing Exponents
When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].
Dividing Whole Numbers.
You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.
64 goes into 2097152, 32768 times. Or we can say,
2097152 divided by 64 = 32768.
So the answer is 32768, or [tex]8^5[/tex].
plz answer my question
Answer:
a its not straight and its negative
Answer:
I'm pretty sure it is nonlinear with negative trend.
Step-by-step explanation:
I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.
Happy to Help :)
Dexter has four different coins in his pocket. He has 1 quarter 1 nickel 1 dime and 1 penny he randomly selects a coin from his pocket, replaces it, and selects another coin. What is the probability that both coins are dimes
The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.
What is the value of x, the side length of Square 2?
HELP ME PLZZZ This is the only table I don't know,
Answer:
apples: 6/8 = $0.75 per apple
pears: 1.25/1 = $1.25 per pear
peaches: 1.50/1 = $1.50 per peach
bananas: 4/6 = $0.67 per banana
"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.
Step-by-step explanation:
I hope this helps :)
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.
A: 1/2
B: 1/4
C: 1/5
D: 1/25
Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve
The Pythagoras Theorem:
the base squared and height squared added is equal to the hypotenuse squared.
so
(x+6)² + (x+3)²= (x+9)²
x²+36+12x+x²+9+6x = (x+9)²
2x²+45+18x=x²+81+18x
x²=36
x=√36
X= 6
now
(x+6)= 12
(x+3)=9
(x+9)=15
haha sorry correct it pls
ASAP! please help, thanks
Answer:
d should be correct
Step-by-step explanation:
prove me wrong
The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:
1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6
Step-by-step explanation:
You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.
Hope this helps!
FMFWE,KFJWKJWKLEJWLKERJWLKRJLWKERJLWRJLWRJLWERJWERJWLKRJWERJWLE
Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
HELP PLSSSS LOL!!!!!!!
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
pls help you i’ll give brainliest
The answer is 6+(-4) = 2
Answer:
2
Step-by-step explanation:
it's just like saying 6-4 is two a negative is like a positiveIf x = ‐3, evaluate x + 7
Answer:
4
Step-by-step explanation:
Substitute -3 for x.
-3 + 7 = 4
Un carro utiliza 8 litros de gasolina para recorrer 96 kilómetros.Cuantos kilómetros recorre con 35 litros?
Answer:
415.625
Step-by-step explanation:
1. Yo dividida 35 por 8. La respuesta de eso es 4.375.
2. Yo multiplica 4.375 por 95. La respuesta es 415.625 km.
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
The wholesale cost of a pair of PUMA sneakers is $28. Academy Sporting Goods sells the sneaker for 74.99. Rounded to the nearest 10th of a percent, which choice best represents the markup rate?
Question 4 options:
37.8%
.6%
167.8%
62.7%
I WILL GIVE BRAINLIST IF YOU PUT THE RIGHT ANSWER BUT IF U DONT KNOW IT DO NO ANSWER OR I WILL REPORT U
Answer:
167.8
Step-by-step explanation:
Answer: 167.8
Step-by-step explanation:
-8n - 4 = -2 +n -n please I need the answer by tomorrow
Answer:
n= -3/4 (0.75)
A sandbox is located at (-8, -3). How many UNITS apart on the coordinate plane are the locations of the swing set and the sandbox?
help me please:(((((
Answer:
I will do the first one for you 115/24
Step-by-step explanation:
First find the prime number is of the number on the bottom of the fraction
Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3
Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it
Hope this helps :D
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
?? anyone know thank you❤️
Answer: 9/8
Step-by-step explanation:
you turn 1/2 into 4/8 and add that to 5/8 to get 9/8
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation: