Answer:
x=7/3
Step-by-step explanation:
AB/XY=BC/YZ
The length of {x} is equivalent to 7/3 units.
What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically -
K = a/b.
Rewriting, we get -
a = Kb
If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].
Given is that ABC is similar to XYZ.
Since, the two triangles are similar, than their corresponding sides will be proportional to each other. This means that the ratio of corresponding sides will be equal. Mathematically -
BC/YZ = AB/XY = AC/YZ = K [scale factor]
We can write -
8/(2[tex]\frac{2}{3}[/tex]) = 7/x
8/(8/3) = 7/x
8 x 3/8 = 7/x
3 = 7/x
x = 7/3
Therefore, the length of {x} is equivalent to 7/3 units.
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A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?
If the number of seats that are in the last row is 1100 seats.
Number of seatsFirst row=20
Second row=22
Third row=24
A.P = 20,22,24,…
a=20
d=22−20=2
n=25
Using the formula of the sum of the first n terms of an A.P
Sn=n/2[2a+(n−1)d]
S25= 25/2 [2×20 +(25-1) 2]
S25 = 12.5 [40 +24 ×2]
S25= 12.5 [88]
S25= 1100
Therefore If a theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. The number of seats that are in the last row is 1100 seats.
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Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.
Jonathan’s answer is unreasonable because 1 times 8 is 8, and 8 is not very close to 15.77.
Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Triangle is
obtuse and
isosceles
Volunteer drivers are needed to bring 24 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. There is a total of 5 cars and vans.
Answer:
34
Step-by-step explanation:
can you please help me with this question
Answer:
B. 4 mL
Step-by-step explanation:
This graph represents a linear relationship between x and y. Which equation best represents the relationship shown in this graph? y=35x y=−53x y=53x y=−35x
Answer:
y= 5/3x
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i took the test and it gave me the answer.
here is some info about a play
starts at 7:30
1st act lasts 46 min
interval 20 min
2nd act 53 min
what time does the second act end
Answer:
The answer would be 9:29
Step-by-step explanation:
7:30 and add 46 min would be 8:16
8:16 and 20 min would be 8:36
8:36 and 53 min would be 9:29
A geologist wants to determine the distance across the widest part of a nearby lake. The geologist marked off specific points around the lake so that the line containing segment DE would be parallel to the line containing BC. The segment BC is selected specifically because it is the widest part of the lake. The segment DE is selected specifically because it is a short enough distance to easily measure. Use this diagram to answer the following questions.
1. Is ADE similar to ABC'? How do you know? *
Yes. All three sides are proportional.
Yes. Two or more angles are equivalent.
No. Side lengths are not proportional.
There is insufficient information to determine similarity.
2. If ADE is similar to ABC, and |AD| = 1,200 ft and |AB| = 3,600 ft, what is the length of segment BC?
2,700 ft
1,600 ft
2,100 ft
2,400 ft
3. If ABC is similar to ADE what is the length of segment AC? *
5 points
2,000 ft
3,000 ft
2,400 ft
2,800 ft
Answer:
1. Yes. Two or more angles are equivalent
2. 2700 ft
3. 3000 ft
Step-by-step explanation:
1.
∠EAD = ∠CAB (same angle)
∠AED = ∠ACB (because AC is a straight line and ED and CB are parallel)
2.
1200:3600
1:3
This means that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. ED corresponds to CB, so:
900 x 3 = 2700
3.
We know that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. AE corresponds to AC, so:
1000 x 3 = 3000
If a car travels 23 miles in 20 min what is the. car speed in miles per hour?
Answer:
69 miles per hour
Step-by-step explanation:
car travels 23 miles in 20 min
So 20 min=20/60hour
=1/3. hour
Speed of the car=23÷1/3
=69 miles/hour
So the final answer is 69miles/hour
What is 8 divided by 3/5= ?
Answer:
0.075
Step-by-step explanation:
A snack-size bag of carrots has a mean weight of 1.75
ounces and a standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure
and found that it weighed 1.68 ounces.
What is the Z-score for the snack-size bag of carrots
that Kendra measured?
A. -0.70
B. -0.07
C. 0.07
D. 0.70
Answer:
The person above is right,
the answer is (A) -.70
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Which percent is modeled? 9% 19% 91% 99%
Answer:
9%
Step-by-step explanation:
Count the squares side which is 10
Then Count the bootom side of the square which is 10
10 x 10 =100
Now count how many squares are filled. 9
9/100=9%
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
Total value = b
Percentage = a/b x 100
The percent modeled is 9%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
Total value = b
Percentage = a/b x 100
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of cells in the box = 100
Number of shaded cells = 9
The percentage of the shaded cells.
= (Number of shaded cells / Total number of cells) x 100
= 9/100 x 100
= 9%
Thus,
The percentage of shaded cells is 9%
The percent modeled is 9%.
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Jessica has an account with a credit union. Her account earns 2.6% simple interest yearly. Exactly a year and a half ago, she opened her account with $900.
How much interest has she earned so far?
Answer:
$35.1
Step-by-step explanation:
2.6% of 900 = 23.4
Since it's a year and a half you might want to divide by two.
2.6/2 = 1.3
1.3% of 900 = 11.7
add them up,
23.4 + 11.7 = 35.1
It's asking for how much she EARNED not HAS in her bank account in 1.5 years. So include what she earned with interest, do not include the 900 dollars because she didn't earn it with interest, she already had that.
sadie bought 9 cans of peaches for ,$12 at the rate how much would she pay for 21 cans of peaches
For 21 cans she has to pay $28.
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
cost of 9 cans = $12
cost of 1 can= 12/ 9
= 4/3
Now, cost of 21 cans = 21* 4/3
= 7*4
= $28
Hence, for 21 can she has to pay $28.
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What is the change in temperature from 20 degrees F dropping to -33 degrees F?
Answer:
53 degrees.
Step-by-step explanation:
Your just finding the difference or the "change" So I did 20+33=53.
Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.
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ula for a Variable
The surface area of a cone is given by the formula
S = nil + n0r2 Solve the formula for l.
0 1=S - p2
O l=S+ p2
Ol= $ - p2
TT
01 = 5 +2.
1=
TT
Answer: 80 votes
Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).
The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.
What is surface area?The surface area of a three-dimensional shape is the amount of space that surrounds it.
Starting with the given formula:
[tex]S = \pi l + \pi r^2[/tex]
We want to solve for l.
First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:
[tex]S - \pi r^2 = \pi l[/tex]
Then we can divide both sides by π to isolate l:
[tex]l = (S - \pi r^2) / \pi[/tex]
Therefore, the solution is:
[tex]l = (\frac{S}{\pi} - r^2)[/tex]
Thus, the correct option is C.
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Your question seems incomplete, the probable complete question is:
The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.
A) l = S – r2
B) l = S + r2
C) l = 5/3.14 – r2
D) l = 5/3.14 + r2
all of the 2's are to the power of R
the 5/3.14's are fractions
I will give you brainliest
Answer:
3 /4 I think
Step-by-step explanation:
Consider the figure, where segment M N is parallel to segment RP.
What is the value of x?
Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Leave your answer in simplest form in the form of a/b − c/d
If one of your numbers is a whole number, put a 1 in that denominator
well what i got was:
the exact form: 233/28
decimal form: 7.96428571...
mixed number form: 7 27/28
not sure if this is right at all but i hope it helps at least a little
hi
1/7 * (56 -1/4) = 56/7 - 1/28 = 224/28 - 1/28 = 223 /28
as 223 is prime, it's cannot be simplified. however it 7 +27/28
(5.8 x 10^-6): (2 x 10^-3) =
Find the quotient .
write answer in Scientific notation
Linear, exponential or neither?
ao = 2; an = an-1 + 4
A Linear
B Exponential
C Neither
Answer:
Linear
Step-by-step explanation:
The previous term plus 4.
1, 5, 9, 13 plotting these points would make a straight line!
The entrance to an accessibility ramp is at ground level
The first section of the ramp covers a horizontal distance of 18 feet and rises to a
landing 1.5 feet above the ground
The second section of the ramp begins at the landing, it rises at a slope of t; and
covers another 9 feet of horizontal distance to reach the door
Second section
First section
Door
13 feet
ber
NOTE Sketch not drawn to scale
Answer the questions to compare the sections of the ramp
1. What is the slope of the ramp from the ground to the landing? Write your answer
as a fraction with a whole number numerator and denominator
Write your answer in the space below.
Answer:
250 feet
Step-by-step explanation:
Answer:
1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
2)slope is the change in height, the vertical change, divided by the change in horizontal distance
3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
4)slope = 1/18 = (1/2)/9
5)the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically
Name the two congruent angles. Be sure to use three letters to name each angle.
Answer:
b and c
Step-by-step explanation:
looking at the markings
Answer:
The person above is correct. It is b and c.
Step-by-step explanation:
This is because both sides are equal. And while this isn't the best explanation, my reasoning is because if you were to cut it in two and flip one side over the other side they would be equal. Also since all sides are not equal all are not the same angle. Apologies if this doesn't make sense, I am not good and explaining stuff. Best of luck on the assignment.
becky adds 11 new videos to instagram per week. She currently has 1,577 videos.
Write an expression that represents the number of videos Charli will have in w weeks.
Answer:
1577 + 11w
Step-by-step explanation:
given the function f (x) = 2(x + 4), find x if f (x) = 20
Answer:
x=6
Step-by-step explanation:
f(x)=2(x+4)
20=2(x+4)
10=x+4
6=x
x=6
Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)
Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?
Answer:
(-3.5,4)b
Step-by-step explanation:
Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years:
5.4% compounded monthly or 5.5% compounded quarterly?
cual es la formula del rombide.help me
Answer:
Step-by-step explanation:
The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).
B is the base of the rhomboid and a is the length of the side of the rhomboid.
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Every 6th customer at the flower shop receives a free rose, and every 9th customer receives a free lily.
Which customer will be the first to receive a free rose and a free lily?
Answer: 18th customer
Step-by-step explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72
The customer who will be the first to receive a free rose and a free lily is 18th customer
Given:
Every 6th customer = free rose
Every 9th customer = free Lily
Which customer will be the first to receive a free rose and a free lily?
find the lowest common multiple of 6th and 9th customer
6th customer = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
9th customer = 9, 18, 27, 36, 45, 54, 63
The lowest common multiple of 6th and 9th customer is 18
Therefore, the customer who will be the first to receive a free rose and a free lily is 18th customer
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where can I find about slopes in homework 5 unit 3
Answer:
idk
Step-by-step explanation: sorry im in unit 6 in science im working on rn
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