Answers
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
In order to solve this problem, you first need to identify whether or not the two triangles formed in the image are similar; you can tell that they are similar by the AAA property because they share a vertex, and the other two angles are congruent because of the Corresponding Angles Theorem. Now that you know the triangles are similar, you need to identify the corresponding sides:
x + 6 corresponds to x
21 corresponds to 9 (21 because 30 - 9 = 21)
You can find the scale factor by dividing 21 by 9:
21 ÷ 9 = 7/3
Now that you know the scale factor, you can write and solve an equation:
7/3x = x + 6 (given)
4/3x = 6 (subtract x from both sides)
x = 9/2 (multiply both sides by 3/4)
Related Questions
468 raffle tickets for 52
people
What’s the answer ?
Answers
Answer:
9
Step-by-step explanation:
you divide 468 by 52
468/52 = 9
9
Step-by-step explanation:
468/52 = 9 tickets per person
What is the fifth exterior angle measure?
Answers
Answer:
50
Step-by-step explanation:
Adds up to 360 degrees
A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Answers
Question:
A population of insects, in thousands, can be modeled using the function
[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
[tex]p(t) = 1.75(0.97)^t[/tex]
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
[tex]y=ab^x[/tex]
Compare to [tex]p(t) = 1.75(0.97)^t[/tex]
[tex]b= 0.97\\[/tex]
If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate
else, [tex]b= 1-r[/tex] r represents decay rate
Since b < 0.97:
[tex]0.97= 1-r[/tex]
[tex]r = 1 - 0.97[/tex]
[tex]r = 0.03[/tex]
[tex]r = 3\%[/tex]
[tex]r = 0.03[/tex]
x^2 - 10x + 24 = 024
Answers
Answer:
x=0,10
Step-by-step explanation:
Jasmine had $120,000 last year. This year she has $50,000
What is the percentage difference?
Answers
The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.
What is percentage?As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
The last year value = $120000,
The new value of this year = $50000,
Calculate the percentage by the following formula,
Percentage difference = The new value of this year / The last year's value ×100
Substitute value
Percentage difference = 50000 / 120000 × 100
Percentage difference = 41.6%
Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.
To know more about percentages:
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In a map, 8 cm represent 2km. Write the scale of the map.
Answers
Answer:
1:25000
Step-by-step explanation:
2km =2000m =200000cm
200000/8=25000
what number can go into 42 and 21
Answers
Answer:
7
Step-by-step explanation:
Answer:
1,3,7,21 all of those are factors of 42 and 21.
They all can go
Step-by-step explanation:
Hope this helps
What is the slope m of the graphed line?
Ny
Answers
Answer:
A
Step-by-step explanation:
Answer:
A) m=0
Step-by-step explanation:
which term is a perfect square of the root 3x4?
Answers
Answer:
4
Step-by-step explanation:
Answer:
9x^8
Step-by-step explanation:
good luck
please help me this is for a grade
Answers
Answer:
A, B, and D are congruent
Step-by-step explanation:
i am rubbish plz help will mark brainiest for whoever gets it right
Answers
Answer:
23 cars are silver!
Step-by-step explanation:
I really need to get this done quick.
The surfboard is 14 inches taller than the person.
Write and solve an equation to determine how tall is the person?
Answers
Subtract 14 from both sides.
h = 68 inches (height of the person)
A florist creates 46 floral arrangements every 3 days. How many floral arrangements will the florist create in 3 weeks?
Answers
Answer:
322
Step-by-step explanation:
In a survey, 250 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 4 .
Answers
Answer:
the theoretical probability would be 20%, the experimental probability, i would need to see the table for.
good luck, i hope this helps :)
Find the height of the cone. Round your answer to the nearest whole number.
h
8 in.
Volume = 670 in 3
Answers
Answer:
3
Step-by-step explanation:
3.34in is ans and after rounding off we can get 3
Add the following lengths:
2'5"
+ 4'8"
------------
plsss i'm doing a test i'l give brainliest lolol okay bye ty if u answer ok bye
Answers
Answer:
7'1"
Step-by-step explanation:
6 feet and 13 inches... you take 12 and make another foot and leave the one inch
Kayla is pricing whole wheat flour.
A 5-pound bag at Bargain Mart costs $6.45.
A 2-pound bag at Food Saver costs $2.50.
A 7-pound bag at Grocery Surplus costs $9.45
A 10-pound bag at Economart costs $12.89.
The shop with which sells flour for the lowest unit price is
Answers
Answer:
Food Saver
Step-by-step explanation:
6.45 ÷ 5 = 1.29
2.50 ÷ 2 = 1.25
9.45 ÷ 7 = 1.35
12.89 ÷ 10 = 1.289
Food Saver sells for $1.25 per pound, which is the lowest.
Answer:
Food Saver
Step-by-step explanation:
Bargain Mart: 6.45/5 = $1.29/lb
Food Saver: 2.50/2 = $1.25/lb
Grocery Surplus: 9.45/7 = $1.35/lb
Economart: 12.89/10 = $1.29/lb
K=39 and j=10 what's k/3 + j
Answers
Answer:
39/3 + 10 = 23
Step-by-step explanation:
I did the math and then reviewed it to make sure it was correct with Chegg
identify the missing number 41, 48,33,40,62,55,54,?,
Answers
Answer:
47
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
can I get how you solved it
This is giving me hard time someone help ASAP. I really need it because I been trying to solve it and cant
Answers
A pentagon with an apothem 316.6 millimeters long and a side 460 millimeters long. Find the perimeter and area
Answers
I need help with this one and other question that I put
Answers
what is the answer to this
Answers
Answer:
im going with c anyone else
Step-by-step explanation:
(b) If the median of the following data is 40, write down
the class where the median lies.
Answers
Answer:
maximum- median
80-50=30
What is the value of v?
(This is 7th-grade math btw)
Answers
Answer:
Step-by-step explanation:
v = 40° ( being vertically opposite angles )
What is 16% of 80?
PLEASE DO NOT SOLVE, I KNOW THE ANSWER IS 12.8. JUST WRITE A PROPORTION ON HOW YOU GET THE ANSWER
Answers
Answer:
12.8
Step-by-step explanation:
(16÷100)×80 = 12.8
help me plssss lsss i really need help today like today today
Answers
Answer:
1. Reflection across the x-axis:
1) (-2,-2)
2) (-1,-4)
3) (3,-4)
2. Reflect across the y-acis:
1) (-1,-3)
2) (-2,1)
3) (-4,1)
Brainiest PLZZZ
Suppose you are asked to find the missing vertex of a rectangle in a coordinate plane. What information will help you determine the missing coordinate?
Answers
The information to determine the missing coordinates is given below.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
Given;
A rectangle is drawn in the coordinate plane.
That means, each vertex has coordinates.
To find the missing vertex of a rectangle in a coordinate plane:
We should have the three known vertices.
Then use the formula,
w = t + v - u for each of the coordinates.
Therefore, the information to determine the missing coordinates is given above.
To learn more about the coordinates;
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A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.
a. What is the area of the room in square feet?
_square feet
b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in
decimal form to the nearest hundredth.
c. What is the total price for the carpeting? _
d. This room is well insulated and is on the south side of the house. It has an
require? Write the exact.
_BTUS
foot high ceiling. How large an air conditioner would this room
Answers
Answer:
a. 270 square feet
b. 3.75 inches by 4.5 inches
c. $10,260
Step-by-step explanation:
A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.
a. What is the area of the room in square feet?
Area of a rectangular room = Length × Width
Length = 15 feet
Width = 18 feet
Area of the room = 15 feet × 18 feet
= 270 square feet
b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.
From the above question:
1/4 inch = 1 foot
Length = 15 feet
Hence:
1 foot = 1/4 inch
15 feet = x inch
Cross Multiply
x = 15 × 1/4 inch
x = 3.75 inches
For the Width = 18 feet
Hence:
1 foot = 1/4 inch
18 feet = x inch
Cross Multiply
x = 18 × 1/4 inch
x = 4.5 inches
Therefore, the dimensions of the room in inches is
3.75 inches by 4.5 inches
c. What is the total price for the carpeting? _
From the above question, we know that: A square foot of carpet is sold for $38
The area of the room is 270 square feet
Hence:
1 ft² = $38
270 ft² = $x
Cross Multiply
1ft² × $x = 270 ft² × $38
$x = 270 ft² × $38/ 1 ft²
$x = $10,260
Therefore, the total price for the carpeting of the room is $10,260.
If a sporting goods store has 40 basketballs, 39 baseballs, 24 footballs, 51 hockey pucks, and 16 lacrosse sticks.
Write the following ratio in simplest form.
Lacrosse Sticks to Basketballs
Answers
Answer:
40/16
2/5
Thus the ratio
= 2:5