Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy:
The ratio of DA:HE is 1:2. What is the length, in meters, of side FG on the photocopied image?
14
17
28
34
Answers
Answer:
I think its 28.
Step-by-step explanation: Dont take my word for this tho
the ratio is 1:2 and that would mean that whatever length DA, HE is 2 times.
The length of BC is 14 so 14 x 2 is 28.
The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.
Given :
Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy.The ratio of (DA : HE) is 1:2.AB = 17 mBC = 14 mThe following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:
Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.
Step 2 - From the above step, it can be concluded that 2 is the dilation factor.
Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:
FG = 2 BC
Step 4 - Substitute the value of length of side BC in the above expression.
FG = 2(14)
FG = 28 m
Therefore, the correct option is C).
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Related Questions
PLEASE PLEASE HELP!!! urgently
f(x)=-2x+3
g(x)=3x+3
find f(1-x) + g(1-x)
Answers
Answer:
-5x + 11
Step-by-step explanation:
All you're doing is substituting.
f(x)=-2x+3
f(1-x) = 2(1-x)+3
= 2 - 2x +3
= -2x + 5
g(x)=3x+3
g(1-x) = 3(1-x)+3
= 3 - 3x + 3
= -3x + 6
Now add them together and combine like terms:
f(1-x) + g(1-x)
-2x + 5 + -3x + 6
= -5x + 11
is y= -1/3x a direct variation?
Answers
Answer:
Yes
Step-by-step explanation:
It is a direct variation of the X,Y,Z family. This is due to the 3rd party uneven number.
Answer:
no
Step-by-step explanation:
Which line appears to have an x-intercept of -3 and a intercept of 5?
Answers
The first graph shows the x-intercept of -3 and y - intercept of 5.
Option A is true.
What is Intercepts?
The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.
Given that;
The x - intercepts = -3
And, The y - intercepts = 5
Since,
The x - intercepts = -3
That's mean the line cross at the point - 3 on x - axis.
And, The y - intercepts = 5
That's mean the line cross at the point 5 on y - axis.
Clearly, In graph first;
The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.
Therefore,
The first graph shows the x-intercept of -3 and y - intercept of 5.
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Help me with these problems ASAP please! *look at attached images
Answers
HELP ASAP ILL GIVE You 5 stars
What is the solution to this inequality?
7x + 25<=11
Answers
Answer:
Step-by-step explanation:
smplifying
7x + 11 = 25
Reorder the terms:
11 + 7x = 25
Solving
11 + 7x = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 7x = 25 + -11
Combine like terms: 11 + -11 = 0
0 + 7x = 25 + -11
7x = 25 + -11
Combine like terms: 25 + -11 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
Answer: Inequality form: x<=-2
Interval notation: (-infinity,-2]
If 3/4 pound of sugar makes 10 cakes, how much sugar, in pounds, is needed to make 1 cake?
Answers
Answer:
3/40 or 0.075 pounds
Step-by-step explanation:
3QWz4exrtv7y8huji0ko,pminbyutcr
Answers
Wha..?
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Tom finished 6/7 of his math homework on the school bus. What percent did he finish on the bus?(If needed round to the nearest hundredth)
Answers
Answer:
85.71
Step-by-step explanation:
precentage of 6÷7 ×100
Answer:
86%
Step-by-step explanation:
[tex]\frac{6}{7}[/tex] ≈ 0.86 = 86%
Find the intercept of the y axis for 6x + 4y – 12z = 36. will give brainlest
(6, 4,-12)
(0, 0, -3)
(6, 0, 0)
(0, 9, 0)
Answers
Answer: ( 0, 9, 0)
Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)
Hope this helps :)
As a reward for winning a math competition, 26 students in the 7th grade visited a theme park. On one ride, 3 equal groups of students could be seated and 2 students were left over. Write and solve an equation to find how many students could be seated in each group.
Answers
Answer: in each group, there are 8 students.
Step-by-step explanation:
We have a total of 26 students.
If we separate them into 3 equal groups (suppose that each group has X students) and leave 2 students left, we will have the relation:
3*X + 2 = 26
This means that 3 times the number of students in each group, plus the two students leftover must be equal to the initial number of students.
Now we can solve this for X.
3*X + 2 = 26
3*X = 26 - 2 = 24
X = 24/3 = 8
X = 8
This means that in each group there are 8 students.
Kailey and Justin both hire tutors for math and pay them per hour. After tutoring 8.5 hours, Justin pays his
tutor $242.25. The table below shows how much Kailey paid her tutor.
Which person paid more for tutoring and by how much?
Answers
Answer:
(A) kailey paid $3.50 more per hour
Answer:
kailey paid $3.50 more per hour
Step-by-step explanation:
WILL MARK BRAINLIEST DUE NOW!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,
Match each linear model to its inverse.
+2
y = -10 + 2
y = -x +
y =
- 2
Linear Model
Inverse
32 - 4y = 6
4x + 3y - 6
3x + 4y =-
42 - 3y -
Answers
Answer:
Min nikaribû bixwîne biborîne
Step-by-step explanation:
How many inches are in 1 2/5 groups of 1 2/3
2 and 4/15
2 and 4/8
2 and 1/3
2 and 2/3
Answers
Answer:
2 and 1/3
Step-by-step explanation:
1 2/5 = 7/5
1 2/3 = 5/3
(7/5) * (5/3) = 7/3
7/3 = 2 1/3
pls help. polynomials solving equations
Answers
Answer:
+9or -9 is the answer ☺️ you
Answer:
y will be equal to 0, 9, or 1
(y=0, 9, 1)
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answers
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
In the input/output rule: y = -2x - 5 What
would be the output of an input of -1? Write
only the number.
Answers
Answer:
-3
Step-by-step explanation:
(-2)*(-1) - 5
2 - 5 = -3
how do you solve graphs and make an equation from a line on a graph?
Answers
Always start on the y-axis.
rise/run
First things first, you have to know your positives, negatives, zeros, and undefined.
To make an equation from the graph you have to know your formula.
y=mx+b
You do the rise first. The rise on the graph is 3. The run is 2. So, that'll make it 3/2. m=slope.
b=y-axis. b=1.
y=3/2x+1 (Example from the image)
PLEASE HELP, I ONLY HAVE A FEW MINUTES TO TURN THIS IN BEFORE ITS NOT ACCEPTED!!
Jamila wants to play a game called "Guess my line". She gives you the following hints:
"Two points on my line are (1,1) and (2,4)
- What is the slope of her line?
- What is the y-intercept?
- What is the equation?
Answers
Answer:
The slope is 3, the y- intercept is -2, and the equation is y= 3x - 2
Answer:
[tex] \Large \pink{\tt \dfrac{i dunno}{..}}[/tex]
Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the least number of cabins needed?
Answers
The least number of cabins needed for campers is 8.
Given that, Shady Rivers summer camp has 188 campers this week.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The least number of cabins needed = Total number of campers/Number of campers to each cabin
= 188/22
= 8.54
Therefore, the least number of cabins needed for campers is 8.
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16 - 3x = 4 + x
solve please
Answers
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3
Calculate the sum of the INTERIOR angles of a 16-gon.
Answers
Can someone please explain this to me!
For the sequence an = 3 + 6 · (n − 1),
its first term is :
its second term is:
its third term is:
its fourth term is:
its fifth term is:
its common difference d=
Answers
[tex]a_n[/tex] is the n-th term in the sequence. So
• the first term (n = 1) is a₁ = 3 + 6•(1 - 1) = 3
• the second term (n = 2) is a₂ = 3 + 6•(2 - 1) = 9
• the third term (n = 3) is a₃ = 3 + 6•(3 - 1) = 15
• the fourth term (n = 4) is a₄ = 3 + 6•(4 - 1) = 21
• the fifth term (n = 5) is a₅ = 3 + 6•(5 - 1) = 27
The common difference between terms is what you get from subtracting consecutive terms in the sequence, or the number [tex]a_n-a_{n-1}[/tex]. Just by taking any two consecutive numbers from above, you have d = 6, since
9 - 3 = 6
15 - 9 = 6
and so on. More generally,
[tex]a_n-a_{n-1}=(3+6\cdot(n-1)) - (3+6\cdot(n-2))=6\cdot((n-1)-(n-2))=6[/tex]
The ratio of boys to girl in a school is 5:7 if there are 600 students, how many girls are there
Answers
Answer:
350 girls
Step-by-step explanation:
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
I REALLY NEED HELP FAST PLEASE !!
Answers
Answer:
C: √768
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
ISSS THIS CORRECT??????please help
Answers
Answer:
I think that is correct, sorry if i get it wrong
Answer:
Step-by-step explanation:
(4,1) you are correct
thhe solution is the intersection of thhe 2 graphs because that point of intersection belongs to both lines in the same time
Corrine bought 8.4 pounds of almonds. She divided them into 30 snack-size bags. How many pounds are in each bag?
helphelphelp ASAPPPPP!!!!!
Answers
Answer:
0.28 pounds in each bag.
Step-by-step explanation:
There are 0.28 pounds in each snack-size bag.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
We have been given that she bought 8.4 pounds of almonds. She divided them into 30 snack-size bags.
We have to determine the number of pounds in each bag.
The number of pounds in each bag = total quantity of almonds ÷ number of bags
The number of pounds in each bag = 8.4 pounds ÷ 30 bags
The number of pounds in each bag = 8.4/30
Apply the division operation, and we get
The number of pounds in each bag = 0.28 pounds
Thus, there are 0.28 pounds in each snack-size bag.
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Can someone please help me
Answers
Answer:
It's 78.50 or either 78.54
Step-by-step explanation:
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answers
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
PLEASEEE HELPPPP!!!!!
Answers
Answer:
the answer is 9.85
Step-by-step explanation:
the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2
Describe how you know that (8 + 9) + 3 is
equivalent to 8 + (9 + 3). What is the benefit
to using this property?
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(8 + 9) + 3 = 17 + 3 = 20
8 + (9 + 3) = 8 + 12 = 20
This is the property of associative.
Thus,
(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.
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