Triangle ABC is a scale drawing of Triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.
Answer: B the side length of XZ is 28
Step-by-step explanation:
to find the scale factor, one of the methods is to divide the side length of one triangle by the same side length of the other triangle.
for example with this problem, the length of XY is 42 while side length AB is 12. 42/12 is 3.5. we know that the side length that corresponds with XZ is 8 so multiply it by 3.5 to get the answer of 28.
Answer:
B
Step-by-step explanation:
Since we know that triangle XYZ is a scale model of ABC then if we find the amount XYZ is bigger then ABC then we can find the answer. Line CB is the corresponding line to ZY and ZY is 3.5x greater then CB. Apply the same logic to AC and we get 8*3.5=ZX 8*3.5=28 so ZX=28.
Luke has 1/5 of a package of dried apricots. He divided the dried apricots equally into 3 small bags. Luke gives one of the bags to a friend and keeps the other two bags for himself, what fraction of the original package of dried apricots did Luke keep for himself? (answer in simplest form)
Answer:
Luke kept 1/3 to himself
Step-by-step explanation:
What is the median of the data set represented by the dot plot?
Answer: 5
Step-by-step explanation:
The median is the middle number of a group of numbers. So, to find the median, first, find out how many numbers there are. You can do this on the dot plot by counting the dots. There are 9 dots.
To find the middle number when the total is odd, you can drop the number down to an even number that will divide in half (or divide the number by two). In this case, you can drop the number to 8 and divide by two. The answer to that is 4. Because there was an odd number of dots, you should use the 4th and then the 5th numbers to determine the middle number. We also count the 5th number because the total was odd. If the total is even, use only one number as the middle number.
Since the 4th and the 5th number are lined up on the 5, that is the median number.
(If you ever have to find two numbers that are not lined up on the same number, you have to add those two numbers and divide by 2 to find the median.)
i need even more help
Answer: hope this helps ♡
Perimeter:
2(l + w) & 2×l + 2×w & l + w + l + w
Area:
l × w & wl
Neither:
l + w
What number is 40% of 86? Show your work.
21.5
344
34.4
215
Answer:
What is 40% of 86? Show your work.
= (40*86)/100
= 3440/100 = 34.4
C. 34.4Step-by-step explanation:
You're welcome.
50 POINTS SHOW YOUR WORK OR I WILL DELETE! !BRAINLIEST!
There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is not yellow is 1 : 2. How many pieces of chalk are yellow? Show or explain how you got your answer.
Answer:
9
Step-by-step explanation:
1:2 is the same as 1/2
if 1/2 of the chalk is yellow, then divide 18/2
18/2 = 9
Answer:
6
Step-by-step explanation:
so do a tape diagram with 1 box and underneath 2 boxes you then divide 3 boxes by 18 giving you 18.
The Gilberts are you designing a rectangular patio for their backyard. The patio has an area of 432 square feet. The width of the patio is 3/4 its length. What is the length of the patio?
A: 15 feet
B: 24 feet
C: 36 feet
D: 270 feet
Answer: B: 24 feet.
Step-by-step explanation:
Let's assume that the length of the rectangular patio is "L" feet. Then, the width of the patio would be 3/4 L.
The area of a rectangle is given by the formula A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the patio is 432 square feet. Substituting the values of L and W, we get:
432 = L x (3/4 L)
Multiplying both sides by 4/3, we get:
(4/3) x 432 = L^2
Simplifying, we get:
576 = L^2
Taking the square root of both sides, we get:
L = ±24
Since the length cannot be negative, the length of the patio is 24 feet.
Therefore, the correct answer is option B: 24 feet.
The sanctuary′s gift shop purchases items for the amounts shown in the table. Leo marks up the cost of each item by 45% to determine the gift shop′s selling price. How much would a customer pay for one pair of binoculars and one bird guide after the markup and 8.5% sales tax? Explain.
Step-by-step explanation:
The customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
According to the given, the required solution would be as:
Mark up for binoculars = 10 x 1.45 = 14.50
14.5 x 1.085 = 15.7325 in sales tax
The total cost per binocular is $15.73 ($).
Bird Guide Commission = 7 x 1.45 = 10.15
10.15 x 1.085 = 11.01275 Sales Tax
The total cost per Bird Guide is $11.11 ($).
The addition provides one of each.
⇒ 15.73 + 11.01 = 26.74
Thus, the customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
could ya please help me?
Answer:the trcks what to do that much because 20 avb=vd 55 is 899
Step-by-step explanation:
Solve the word problem and ratio table
Answer:
4
Step-by-step explanation:
5tv
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 432 miles apart?
create equivalent ratios by completing a ratio table for each. 1. 7 to 5 ( using multiplication), 2. 50:20 ( using division), 3. 3/4 (using multiplication), 4. 18:48 ( using division)
ASAP
Step-by-step explanation:
7 : 5
[tex] \binom{7 \: 14 \: 21 \: 28 \: 35}{5 \: 10 \: 15 \: 20 \: 25} [/tex]
50 : 20
[tex] \binom{50 \: 25 \: 5}{20 \: 10 \: 2} [/tex]
3 : 8
[tex] \binom{3 \: 6 \: 9 \: 12 \: 15 \: 18}{8 \: 16 \: 24 \: 32 \: 40 \: 48} [/tex]
18 : 48
[tex] \binom{18 \: 9 \: 6 \: 3}{48 \: 24 \: 16 \: 8} [/tex]
Ratios must always remain proportional;
Whenever you multiply or divide one part by a number, you must do the same to the other part/s;
When it comes to division, you can divide by all common factors
Melvin pays $49.95 for his gym membership. After that he pays $3.95 for each visit to the gym. What is the greatest number of visits he can afford if the total amount he spends cannot be more than $125.00?
Answer:
Melvin can only visit the gym twice if he cannot spend more than $125.00.
Step-by-step explanation:
$49.95+3.95=$53.9
$53.9x2=$107.8
If he were to visit the gym three times, he would pay $161.7. Therefore, he can only visit the gym twice to stay in his price range.
Please Help
Show that pentagon CDEFG is similar or not similar to pentagon PQRST. [Image in the attachment]
Are the two pentagons similar? How do you know?
-No, because all corresponding sides are not congruent.
-Yes, because all corresponding sides are proportional.
-No, because all corresponding sides are not proportional.
-Yes, because all corresponding sides are congruent.
C. no, because all corresponding sides are not proportional.
i need more help with this lesson
Answer:
Step-by-step explanation:
Rewrite the false statement to make it true:
Answer: more than 500 shirts will be washed each day
Step-by-step explanation:
The histogram to the right shows the number of students in a PE class with their mile running times.
a. How many students are in the PE class?
b. Which interval would have the time 8 minutes?
c. In which interval of time did most students finish?
d. Find the probability a random student chosen ran with a time between 6 and 7 minutes.
e. The teacher teaches a total of 120 students in all PE classes. Predict how many students will run between 6 and 7 minutes.
Answer:
please send a clear image
Step-by-step explanation:
Can you help meeee pleasE?????
Answer: supplier a: 30x + 70 y = 4170
Supplier b :25 x + 85y= 4675
Step-by-step explanation:
x = the number of inkjet printers at the company
Y= the number of laser printers
Maggie reads 1/3 of a book every 3/4 of a week.
How many books does Maggie read per week?
____
(A) 4/9 of a book
(B) 4 books
(C) 2 1/4 books
(D) 1/4 of a book
Answer:
i think it may be B
Step-by-step explanation:
K12 sorry if its wrong
Answer:
О (A) 4/9 of a book.
Step-by-step explanation:
(1/3) / (3/4) = (1*4) / (3*3)
= 4/9
...
Solve the word problem and ratio table
4)
1, 3, 7, 18, 10, 4
6, 18, 42, 108, 60, 24
Ratio was 1:6
5)
2, 4, 6, 8, 10, 7
6, 12, 18, 24, 30, 21
Ratio was 1:3
6)
2, 4, 6, 8, 1, 10
5, 10, 15, 20, 2.5, 25
Ratio was 1:2.5
Unfortunately, you have to do the graph yourself.
Hope this helped!
The number of students in 10 kindergarten classes is shown below.
20, 18, 21, 18, 22, 24, 18, 23, 23, 24
What number of students describes the first quartile?
What number of students describes the third quartile?
What number of students describes the interquartile range?
Answer:
1. 18
2. 23
3. 5
Step-by-step explanation:
The first quartile is 18, the third quartile is 23, and the interquartile range is 5.
Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.
Write and solve an inequality to determine how many yards each friend will swim. Show all your work.
Answer:
400
Step-by-step explanation:
I divided 1600 by 4 which got me 400
7, 11, 4, 2=10 What are the missing symbols?
Answer:
Step-by-step explanation:
Given : 7 11 4 2 =10. To Find : make it true using order of operations. Solution: 7 11 4 2 =10. 7 + 11 - 4 x 2 = 10. Applying BODMAS.
Can someone pls help this is due today before 6!
Answer: .25
Step-by-step explanation:
on x bar 0 and y bar 0 connect them at a 90 angle and from the middle that go diagonal top right.
a sample of 500 schools in a state results in an average number of students per grade level of 178.6 students, with a margin of error of 45.2 if there are 3250 high schools in the state, what is the estimated number of students per grade level?
USE THE DOT PLOT GRAPH TO FIGURE THIS OUT!!
What is the most appropriate measure of center for the data set about 7th graders?
A)mean
B)median
C)range
D)IQR
Answer:
The most appropriate measure of center for the given data set about 7th graders is the median (option B).
Step-by-step explanation:
The median is the middle value in a data set when the values are arranged in ascending or descending order. It is not affected by extreme values or outliers. There is an outlier in this case (180), which could alter the mean and represent the data inaccurately. The range does not give a measure of center but instead represents the spread of the data. The IQR is a valuable measure for understanding the spread of data and identifying potential outliers but is not suitable for describing the central tendency or average of the data.
Please could someone help me?
Answer:
The large box weighs 61/4 Kg and the small box weighs 25/4 Kg
Step-by-step explanation:
Assume the large box is x and the small box is y
6x+2y=104, 3x+5y=77 therefore, 6x+2y=104, 6x+10y=154
8y=54 y=25/4 x=61/4
What is the constant of proportionality?
also I will mark brainliest !!
Answer:
I dnt know the ture answer, but mabye this will help
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Can you help me with this anyone I would appreciate it.
Answer:
(x,y) = (-3,7)
Step-by-step explanation:
you gotta do alot to get this..
hope this helps
Gaspar is riding his bicycle. The graph shows the relationship between time in hours and the miles Gaspar rides. Write an inequality to show the number of hours when Gaspar has ridden more than 80 miles.
Answer:
Step-by-step explanation:
b