In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)
Answers
Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
Related Questions
Find the length of the arc.
Answers
We know
Length if arc=L[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]
if 4 is a root of x^2- kx+12=0 , then the value of k and the other roots are what?
Answers
Answer:
k=7
Other root=3
Step-by-step explanation:
If x=4 is a root of the given equation, then it satisfies the given equation.
4^2-k(4)+12=0
We can solve this equation for k.
16-4k+12=0
28-4k=0
28=4k
28/4=k
7=k
So the equation is x^2-7x+12=0
Factor form is (x-3)(x-4)=0 since-3(-4)=12 and -3+-4=-7.
This implies x=3 and x=4 are roots.
Chris drives 240 miles from his home in Atlanta, Georgia, at 60 miles per hour. How many minutes longer would the return trip take if he travels at 50 miles per hour
Answers
Answer:
48 minutes
240 at 60mph = 4 hrs.
240 at 50 mph = 4.8 hrs.
it would take an extra 60*.8 or 48 minutes
Step-by-step explanation:
The trip will be of 48 minutes longer when the speed is decreased by 10 miles per hour.
What is the formula for time?
The time is given by distance/speed. The unit of time is minutes or seconds.
What will be the time difference?When distance of 240 miles is cover by the speed of 60 miles per hour then the time take to travel this distance will be 240/60=4 hours
When distance of 240 miles is cover by the speed of 50 miles per hour then the time take to travel this distance will be 240/50=4.8 hours
The difference between 4.8 hours and 4 hours is of 0.8 hours or 0.8*60=48 minutes.
Therefore, the trip will be of 48 minutes longer.
Learn more: brainly.com/question/21061928
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please solve this.....
Answers
Answer:
Step-by-step explanation:
the dot means multiply
The cityscape bike path is 2 2/3 times longer than the bay view bike path. What is the length of the cityscape bike path?
Answers
The complete version of the question is attached below :
The length of Cityscape Bike Path is [tex]3 \frac{1}{9} miles[/tex]
Given that :
Cityscape Bike Path is [tex]2 \frac{2}{3}[/tex]
times longer than Bay View Bike Path
Length of Bay View Bike Path = [tex] \frac{7}{6} miles[/tex]
Hence, to compute the length of Cityscape Bike Path :
Cityscape Bike Path = [tex]2 \frac{2}{3} \times [/tex] Length of Bay View Bike Path
Therefore, length of Cityscape Bike Path =
[tex]2 \frac{2}{3} \times \frac{7}{6} [/tex]
Length of Cityscape Bike Path =
[tex] \frac{8}{3} \times \frac{7}{6} = \frac{56}{18} = 3 \frac{1}{9} miles[/tex]
Hence, the length of Cityscape Bike Path is [tex]3 \frac{1}{9} miles[/tex]
Learn more : https://brainly.com/question/12213307
The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student
Answers
Answer:
4.107
Step-by-step explanation:
115/28=4.107
A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Answers
Answer:
34
Step-by-step explanation:
This is because you will have to simply divide 782 by 23.
782 / 23 =
34 :D
Can someone answer this pls
Answers
Answer:
Domain is [tex]x \ge d[/tex]
You'll check the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d". So you'll have 3 boxes checked.
=======================================================
Explanation:
We cannot have a negative number under the square root, and get some real number output. For example, the result of [tex]\sqrt{-4}[/tex] isn't a real number.
That means we need to have the "x-d" under the square root to be 0 or larger.
[tex]x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d[/tex]
The domain is [tex]x \ge d[/tex] telling us that x = d is the smallest x value we can plug in
So that's why we check off the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d" as shown below.
need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only
Answers
Answer:
True
Step-by-step explanation:
integers like 5 or 4 can be put over one to be a fraction.
For example: 5/1 or 4/1
Answer:true
Step-by-step explanation:
they can
eg 1/1, 7/1
The sum of three prime numbers is 22. What is the largest possible product of these numbers?
Answers
Step-by-step explanation:
a+b+c=22
abc=?
2+3+17=22
2×3×17=102
Answer:
The numbers are 2, 7 and 13
Step-by-step explanation:
2+7+13 = 22
2X7X13 = 182
help me find x please
Answers
Answer:
[tex]3\sqrt{3}[/tex]
[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]
Step-by-step explanation:
Factor the following expression completely. 16x^5-x^3
Answers
Answer:
x³ (4x + 1)(4x - 1)
Step-by-step explanation:
Answer:
x^3 (4x-1)(4x+1)
Step-by-step explanation:
16x^5-x^3
Factor out x^3
16* x^2*x^3 - x^3
x^3(16x^2 -1)
The term inside the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
x^3 ( (4x)^2 -1^2)
x^3 (4x-1)(4x+1)
A baker used 12 cups of batter to make muffins. It took 2/3 of a cup of batter to make one muffin. How many did the baker make?
Answers
Answer:
8 cups
Step-by-step explanation:
1 cup = 2/3
so,2/3 x 12 = 8 cups
Answer:
8 cups
Step-by-step explanation:
In a research study, students were randomly assigned to three different groups. Group 1 drank no cups of coffee, group 2 consumed 1 cup of coffee, and group 3 consumed 2 cups of coffee. Following this, all the participants took an IQ test. What is the independent variable
Answers
Answer:
The score that they got on the IQ test is the dependent variable
Step-by-step explanation:
. If a = 120°, find the measure of angles b, c and d.
Explain your reasoning.
Answers
a full circle has a total of 360°, ∡d and ∡c are vertical angles, namely two angles across from each other at a junction, and therefore ∡d = ∡c.
∡a + ∡b is 120° + 120° thus 240°, since a circle has a total of 360°, 360 - 240 = 120, so the other two angles pick up that slack and divide it among each other evenly, 120/2 = 60, so ∡d = ∡c = 60°.
Is the following number rational or irrational? Choose the appropriate reason. PA N. 1.4 7+ V5 Rational, because it is the sum of two rational numbers. Rational, because it is the sum of a rational and an irrational number. Irrational, because it is the sum of two irrational numbers Irrational, because it is the sum of a rational and an irrational number. There is not enough information to answer the question.
Answers
Answer:
u need to give more points for thouse kind of questions
Step-by-step explanation:
Can someone please help me on these 4 questions PLEASE HELP ME!!
Answers
Answer:4 ans x is -32/10
7 ans b is 6
10 ans x is 25/7
13 ans x is 9/2
Step-by-step explanation:
please mark this answer as brainlist
8a^3-36a^2+54a-27-64p^3
Answers
Answer:
8a^3-64p^3-36a^2+54a-27
Step-by-step explanation:
since it no common variable so it can not be further solved
Point A(8,4) is reflected over point (6,−2) and its image is point B. What are the coordinates of point BB?
Answers
Answer:
If Point A (8,4) is reflected over point (6,−2), then that point becomes (4, -8).
Let me know if this helps!
Geometry, please answer question ASAP
Answers
Answer:
Step-by-step explanation:
D
For what value of x is the rational expression below equal to zero?
x-4/(x+5)(x-1)
O A. -5
O B. 4
C. -4
O D. 1
Answers
Answer:
x=4
Step-by-step explanation:
(x-4)/(x+5)(x-1)
For this to be equal to zero, the numerator must be zero and the denominator not equal to zero
x-4 = 0
x=4
what is the one solution for the linear equations y=3x-5 and y=-3x+7
Answers
Answer:
y=1 and x=2
Step-by-step explanation:
Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2
Answer:
The solution is (2,1)
Step-by-step explanation:
Set the two equations equal
y=3x-5 and y=-3x+7
3x-5 = -3x+7
Add 3x to each side
3x-5+3x = -3x+7+3x
6x-5 = 7
Add 5 to each side
6x-5+5 = 7+5
6x = 12
Divide by 6
6x/6 = 12/6
x=2
Now find y
y =3x-5
y=3(2)-5
y = 6-5
y=1
The solution is (2,1)
Please help! Solve each equation with its indicated method. Please show your work and upload a picture. Thank you!
1. Solve using substitution
2x + 3y = 24
-3x - 5y = 15
2. Solve using elimination
x - y = 3
2x + 4y = 9
Answers
Refer to the attachment
f (8^9)p = 8^18, what is the value of p? (4 points)
Answers
Answer:
p=8^9
Step-by-step explanation:
14. What is the measure of angle wº? Show all work.
Answers
Answer:
100 degrees
Step-by-step explanation:
We can start by finding angle y, which is supplementary to 160.
180-160=20
angle y = 20 degrees.
With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:
angle w = angle y + 80
angle w = 20+80
angle w = 100.
The final answer is 100 degrees.
I hope this helped! :D
Answer:
Hello,
w=100
Step-by-step explanation:
y=180-160 (angles supplementaries)
y=20
w is a externel angle of the triangle is equal to the sum of non adjacents angles:
w=80+20=100
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answers
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
Read more:
https://brainly.com/question/2319353
4. Find the index of algebraic expression 4x^6
Answers
Answer:
6
Step-by-step explanation:
"Index" is another name for exponent.
Find the measure of the missing angles.
133°
b =
C=
Answers
Answer:
<b = 133
<c = 47
Step-by-step explanation:
<b and 133 are vertical angles and vertical angles are equal
<c and 133 form a straight line so they add to 180
<c+133 = 180
<c = 180-133
<c =47
Which relation is not a function?
Answers
Answer:
A
For something to be a function every x value bust have at most 1 y value and in A 9 has 2 y values so it cant be a function
Evaluate the expression
Answers
Answer:
3
Step-by-step explanation:
(5x -2y) / y
Let x = -4 and y = -4
(5*-4 - 2*-4) / -4
(-20 +8) / -4
-12/ -4
3
Hey there!
5x - 2y / y
= 5(-4) - 2(-4) / -4
5(-4)
= -20
(2)(-4)
= -8
= -20 - (-8) / -4
= -20 + 8 / -4
-20 + 8
= -12
= -12 / -4
= 3
Therefore, your answer is: 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
