Consider the enlargement of the triangle. A smaller triangle with side lengths 9 millimeters and 6 millimeters. A larger triangle with side lengths x millimeters and 16 millimeters. Which proportional statements are true for finding the value of x? Check all that apply. StartFraction 6 over x EndFraction = StartFraction 9 over 16 EndFraction StartFraction 6 over 16 EndFraction = StartFraction 9 over x EndFraction StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction StartFraction 9 over x EndFraction = StartFraction 16 over 6 EndFraction StartFraction 9 over x EndFraction = StartFraction 6 over 16 EndFraction
Answers
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The proportional statements that are true for finding the value of x in the enlargement of the triangle are:
6/x = 9/16
9/x = 6/16
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the property of similar triangles to set up these proportional statements.
Since the two triangles are similar, their corresponding sides are in proportion to each other.
We can set up the proportion:
smaller side length / larger side length = corresponding smaller side length / corresponding larger side length
Substituting the given side lengths, we get:
6 / 16 = 9 / x
Now,
Solve for x, we can cross-multiply and simplify:
6x = 9 x 16
x = 24
Substituting x = 24 into the other proportional statement.
9 / 24 = 6 / 16
Cross-multiplying and simplifying.
144 = 144
which is true.
And,
The other proportional statements are not true for finding the value of x.
Thus,
The proportional statements that are true for finding the value of x in the enlargement of the triangle are:
6/x = 9/16
9/x = 6/16
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Related Questions
Can anyone help me with this one, Next one.......
Answers
Answer:
B) m + 7
Step-by-step explanation:
x + y + z = (m+9)/2 + (2m+15)/2 + (3m+18)/2 = (6m + 42)/2 = 3m + 21
Average of x, y, and z = (x + y + z)/3 = (3m + 21)/3 = m + 7
Answer:
m + 7
Step-by-step explanation:
\(x = \frac{m + 9}{2}\\ \\y = \frac{2m + 15}{2}\\\\z = \frac{3m + 18}{2}\\\\To\;\;find\;\;\\\frac{x+y+z}{3} \\\\= \frac{1}{3} *[\frac{m + 9}{2}+\frac{2m + 15}{2}+\frac{3m + 18}{2}]\\\\= \frac{6m + 42}{6}\\ \\= m + 7\)
Maggie had $29.14. Then her mom gave her $7.50 for watching her younger brother.
She was paid $12.23 for her old roller skates. How much money does Maggie have now?
Answers
Answer:
48.87
Step-by-step explanation:
Answer:
48.89
Step-by-step explanation:
Just add up the numbers
Broody spent $260 on 4 chairs. To find out how much he spent on each chair, he did the following work in long division. did he do the problem correctly why or why not
Answers
Answer:
i think it is C
Step-by-step explanation:
if not than sorry
Answer:
C. Yes, he worked the problem correctly
Step-by-step explanation:
260 / 4 = 65 and he did the work as he was supossed to
4 goes into 26 6 times and 4 goes into 20 5 times which = 65
So he got it right!
If a scooters speed is 1,200 and a skateboard is going 55 feet in 4 seconds are us the skateboard going faster slower of the same speed as the scooter
Answers
Answer:the scooter is going faster then the scooter
Step-by-step explanation:
Answer: The scooter is going faster assuming you mean 1200 mph
Step-by-step explanation:
Max is stacking logs at his campground for firewood. After his first load of logs, he has 12 logs on the stack. After his seventh load of logs, he has 60 logs on the stack. Use sequence notation to represent the arithmetic function.
an = 12 + 8(n − 1)
an = 60 + 8(n − 1)
an = 12 + 6(n − 1)
an = 60 + 6(n − 1)
Answers
Answer:
an = 12 + 8(n − 1)
Write the expression as a number in scientific notation.
Pls help me or I'm gonna fail :(
Answers
Answer:
(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation
Answer:
As a professional failure, I shall try this.
3.5 * 10^3
Simplify
-6x + 8/6 - 3/2x - 1/2 + 5/2x
Answers
Answer:
-5x + 5/6
Step-by-step explanation:
1) -6x + 4/3 - 3/2x - 1/2 + 5/2x
2) -6x + 4/3 - 3x/2 - 1/2 + 5x/2
3) (-6x - 3x/2 + 5x/2) + (4/3 - 1/2)
4) -5x + 5/6
i need help ASAP!!!!!
Answers
Answer:
3/8
Step-by-step explanation:
The circle is cut into 8ths, and we got 3 so, it's 3/8ths.
the 17 students on the math team want to raise $483.62 to buy practice books. they have already raised 218.25. if each student raises the same amount.How much more money must each student raise.
Answers
Answer: the answer would be 29
Step-by-step explanation
bc first you divide then youmutiple i also checked my work so i know its correct
WOULD YOU PLZ BRAINLIEST PLZ
Explanation: Subtract $218.25 from $483.62 to find out how much money they have left to raise
483.62-218.25=$265.37
Then divide by the number of students so find out how much each needs to raise
265.37/17=$15.61
To check simply multiply 15.61 by 265.37
THIS IS NOT MULTIPLE CHOICE!!!!! ANSWER EACH PART!!!!
A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese.
How many combined ounces of meat and cheese are used on each sandwich?
How many sandwiches were made in the hour?
How many ounces of meat were used?
How many ounces of cheese were used?
Label your answers a, b, c, and d.
Answers
Answer:
A-7
B-13
C-52
D-39
Step-by-step explanation:
A-3+4=7
B-91\7=13
C-4•13=52
D-3•13=39
(Will l give 25 points!) Solve the system of linear equations by substitution. -8x + y = 5 and 5x - y = 3
Answers
Answer:
x = -8/3 and y = -49/3
Step-by-step explanation:
(Step 1) To solve using substitution, you first need to isolate a variable in one of these equations. I chose to isolate "y" in the following equation.
-8x + y = 5 <--- Original equation
y = 5 + 8x <--- Add 8x to both sides
(Step 2) Now, substitute (5 + 8x) for "y" in the second equation.
5x - y = 3 <--- Original equation
5x - (5 + 8x) = 3 <--- Substitute 5 + 8x for "y"
5x - 5 - 8x = 3 <--- Distribute (-) in the parentheses
-3x - 5 = 3 <--- Combine terms with "x"
-3x = 8 <--- Add 5 to both sides
x = -8/3 <--- Divide both sides by -3
(Step 3) Since you know the value of "x", plug it into one of the equations to solve for "y".
y = 5 + 8x <--- Original (rearranged) equation
y = 5 + 8(-8/3) <--- Plug (-8/3) for "x"
y = 5 - 64/3 <--- Multiply
y = 15/3 - 64/3 <--- Convert 5 into a fraction
y = -49/3 <--- Subtract
(Step 3.5) You can check your work by plugging "y" into the other equation to see if the answer for "x" is the same.
5x - y = 3 <--- Original equation
5(-8/3) - y = 3 <--- Plug (-8/3) for "x"
-40/3 - y = 3 <--- Multiply
-40/3 - y = 9/3 <--- Convert 3 into a fraction
-49/3 - y = 0 <--- Subtract both sides by 9/3
-49/3 = y <--- Add both sides by "y"
The value of the system of equations is x = -8/3 and y = -49/3.
A box contains several copies of Mrs. Spencer's new pamphlet. The box weighs 2,000 grams. This chart shows the effect of adding or taking away a pamphlet. Pamphlets Added to the box(x) Effect on the Box's Weight (y) 0 0 1 6 2 12 3 18 Is this an example of continuous or discrete data? discrete continuous
Answers
Answer:
This example represents discrete data.
Step-by-step explanation:
Discrete data refers to information that can only take certain specific values. In this case, the number of pamphlets added to the box (x) can only take on integer values such as 0, 1, 2, 3. Similarly, the effect on the box's weight (y) is also given as specific values: 0, 6, 12, 18.
In contrast, continuous data would involve measurements that can take any value within a range, such as height, weight, or temperature.
Since the number of pamphlets added and the corresponding effect on the box's weight are presented as specific, separate values, the data in this example is considered discrete.
An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?
Answers
Answer: $125
Step-by-step explanation:
1/80=x/10,000
10,000/80=125
Hope this helped!
Answer:125 yen
Step-by-step explanation:
Ratio and proportion
Ratio=1:80=x:10,000
x represents dollars which is unknown
1/80=x/10,000
Then you cross multiply
80x=10,000
80x/80=10,000/80
x=125
Therefore,$125 will give you 10,000yen
The person that is the most kind gets a brainiest award
P.S: evaluate this function: f(x) = 3x^2+5x+6
Answers
Explanation:
This is unable to be evaluated due to the function not being stated. X has to be a number for us to be able to solve the equation and for It to be evaluated. 3x to the second power is gonna stay that since there isn't another power integer on 5x and 6 is staying like that since there is nothing for it to be added or subtracted to.
So the answer is simply:
3x^2+5x+6
please use 3.14 for the pi
Answers
Answer:
huh
Step-by-step explanation:
NOBODY IS ANSWERING MY QUESTION!!!!!!!!!!!!!!!!!!!!!PLEASE HELP!!!!!!!!!!!!!!!!!!!!GIVING BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
terms: 2
constant: 4
Coefficient: 6
Highest Degree: 1
Step-by-step explanation:
The table shows the results of randomly selecting a colored cube from a bag 80 times. The cube was returned to the bag after each selection.
Based on these results, what is the expected probability of randomly selecting a red cube from the bag in one attempt?
A) 0.20
B) 0.04
C) 0.24
D) 0.30
Answers
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
How many 3/4 cup portions are in a 1/2 cup?
Answers
Answer:
2/3 of a 3/4 sized portion will fit in a 1/2 cup container.
Step-by-step explanation:
A map of a town has no scale. The actual distance between the school and the mall in the town is 5 mi., which is shown on the map as 2 in.
The distance from the school to the library on the map is 1 1/2 in. What is the actual distance in miles between the school and the library?
Answers
Explanation: You can solve this by thinking of proportions. When you look at 1 1/2 (or 1.5) to 2, you can see that 1.5 is 3/4 of 2. Since scales on a map are meant to be proportional to the real distance, we can use this 3/4 scale to calculate the real distance from the school to library. Simply multiply 3/4 and 5 and you will receive 15/4 or 3.75.
Answer:
3.75 miles
Step-by-step explanation:
A bicycle rental company charges $18 to rent a bicycle, plus $7 for every two hours of rental time.
Write an equation
Answers
this is because every hour you are spending 3.5 which is why u multiply by .5
Math please help (needed in at most and hour)
Answers
Margo is wrapping a box that is 7 inches long, 10 inches wide, and 4 inches high. How much wrapping paper will she need to cover the entire box?
Answers
She will need to cover six sides of the box. To calculate the surface area of the box, you'll need to add the area of each side. The formula for surface area is: 2lw + 2lh + 2wh. Plugging in the dimensions of the box, we get:
2(7 x 10) + 2(7 x 4) + 2(10 x 4) = 140 + 56 + 80 = 276
So, she will need 276 square inches of wrapping paper. But since she doesn't need to wrap the bottom of the box, we subtract one of the sides, which gives us a total of 268 square inches of wrapping paper.
To calculate the surface area of the box, you need to add the area of all six sides. The area of each side can be found by multiplying the length by the width.
- The area of the front and back sides is 7 x 4 = 28 square inches each.
- The area of the top and bottom sides is 10 x 4 = 40 square inches each.
- The area of the two side sides is 7 x 10 = 70 square inches each.
So, the total surface area of the box is 2(28) + 2(40) + 2(70) = 56 + 80 + 140 = 276 square inches.
Therefore, Margo will need at least 276 square inches of wrapping paper to cover the entire box.
Answer:280 in
Step-by-step explanation: First we multiply the length by the width and that would be 7 by 10 and we would get 70. Next we multiply the height by the total of (l x w), so 4 x 70 would be 280. Margo needs a total of 280 inches of wrapping paper to cover the entire box. Hope this helps! :)
QUIKKK PLEASE HELP
For lines c, d and e, m1 = 90° and m3=90°
For the given diagram and angle measures, use complete sentences to describe each pair of lines as parallel or perpendicular. In your description, include the special angle relationship between angles 1 and 3.
lines d and e
lines d and c
Answers
Lines D and E seem to be a pair of lines that are parallel to each other, which is what makes angles 1 and 3 congruent
Lines D and C seem to be perpendicular to each other, which would make angles 1 and 3 right angles.
What could thy answer be?
Answers
Answer: 36
Step-by-step explanation:
There are a total of 36 numbers, you can find that out by multiplying 6 x 6.
There is only 1 number pair can has a sum of 2 which is 1,1
\(\sqrt[n]{x} x^{2}\)
Answers
![[tex]\sqrt[n]{x} x^{2}[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/4IEEZlhf52KfH7Sp734cBuYKpa7xOdK9.png)
![[tex]\sqrt[n]{x} x^{2}[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/vABn7NVw3p85y4MRU0rgnt26NBe3TTXD.png)
how do I know if im diving with ratio's or multiplying? please put a equation problem about dividing and multiplying ratios
Answers
Answer:
3/4 x 2/5
6/9 ÷ 4/7
Step-by-step explanation:
Referring to the Fig, this sequence of toothpick figures has 6
toothpicks in Term 1, 11 toothpicks in Term 2, and 16 toothpicks in
Term 3. What rule can be used to find the number of toothpicks for
any term of the sequence?
a. term number × term number + 7
b. term number × 5
c. term number × 5 + 1
d. term number + 5
Answers
Show that (3+7)2−84=(3−7)2
Answers
Answer:
solution LHS ;
\( {(3 + 7)}^{2} - 84 \\ (10)^{2} - 84 \\ 100 - 84 \\ = 16\)
Solution RHS ;
\({(3 - 7)}^{2} \\ ( - 4)^{2} \\ = 16\)
I hope I helped you^_^
Answer:
Step-by-step explanation:
(3+7)²−84=(3−7)² =
10²-84=-4²
100-84=16
16=16
On February 2nd, Jordan is going on a class trip to Washington D.C. He is saving his weekly allowance to use as
spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records
the total amount of money he has saved in the table below.
Week
January 4 January 11 January 18 January 25 February 1
Total $ Saved
$86
$94
$102
With only two weeks left before the trip, Jordan wants to predict how much money he will have to bring on the trip. What
is the total amount of money that Jordan will have saved on February 1st?
$106
$110
$116
$118
Answers
Answer:
$118
Step-by-step explanation:
The amount Jordan will have on 1st of the February is $118
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,
The saving are
In 1st week = $86
In 2nd week = $94
Therefore, we can consider the coordinates as (1, 86) or (2, 94)
We know that, standard equation of a line = y = mx+c
Where, m is the slope,
We have here slope = 8
Finding for c, put x = 1 and y = 86
c = 78
Now finding the amount for 5 weeks, that means x = 5
y = 5x8+78
y = 118
Hence, The amount Jordan will have on 1st of the February is $118
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