Select the correct answer from each drop-down menu.
The sides of ABC are 30 units, 40 units, and 60 units long. The corresponding sides of AXYZ are r times as long
as the sides of AABC.
2. If the area of AABC is n square units, the
The expression that gives the perimeter of AXYZ is
area of AXYZ is
square units.
Answers
Answer:
Area of ΔXYZ = n(r * r) square units
Step-by-step explanation:
Sides of ΔABC are 30 units, 40 units and 60 units.
Corresponding sides of another triangle XYZ are r times as long as the sides of ΔABC.
Therefore, sides of ΔXYZ will be, 30r units, 40r units and 60r units.
Perimeter of the triangle XYZ = 30r + 40r + 60r
= 130r units
If the area of ΔABC = n square units
Then the ratio of the area of ΔXYZ and ΔABC = (Ratio of the sides of ΔXYZ and ΔABC)²
[tex]\frac{\text{Area of triangle XYZ}}{\text{Area of triangle ABC}}=(\frac{\text{Side length of XYZ}}{\text{Side length of triangle ABC}})^2[/tex]
[tex]\frac{\text{Area of triangle XYZ}}{n}=(r)^2[/tex]
Area of ΔXYZ = nr² ≈ n(r * r)
Therefore, Option (3) will be the answer.
The expression that gives the perimeter of ΔXYZ is: 130r
The area of ΔXYZ = nr²
Similar FiguresIf A and B, with sides a and b respectively, are similar figures, therefore: area of A/area of B = a²/b².
Thus;
Given that the sides of ΔABC, which are 30, 40 and 60, are r times the corresponding sides of ΔXYZ, the sides of XYZ would be:
30r, 40r, 60r.
Perimeter of ΔXYZ = 30r + 40r + 60r = 130r
Given that the area of ΔABC is n units², therefore:
(area of ΔABC)/(area of ΔXYZ) = (side of ΔABC)²/(side of ΔXYZ)²
Substitute(n)/(area of ΔXYZ) = (30)²/(30r)²
n/area of ΔXYZ = 1/r²
Cross multiplynr² = area of ΔXYZ
area of ΔXYZ = nr²
Therefore, the expression that gives the perimeter of ΔXYZ is: 130r
The area of ΔXYZ = nr²
Learn more about area of similar figures on:
https://brainly.com/question/26145340
Related Questions
A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats. Let A= the total number of animals. Let C = the number of cats.
Answers
I do not know what answer you are looking for, but A would be double the amount of C. Without the number of cats, I do not know the total number of animals, vice versa.
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Answers
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
composite numbers to 30
Answers
Answer:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, Step-by-step explanation:
The quotient of 56 and a number
Answers
Answer:
yes
Step-by-step explanation:
9.) Is the graph below line your nonlinear?
Answers
Answer:
Linear.
Step-by-step explanation:
A linear graph is any straight-line graph. That's a straight line.
Answer:
No
Step-by-step explanation:
This graph is not a non-linear line, in fact, it's a linear line. A non-linear line is a line that is not straight, a line that is curved. And as you can see in this graph, the line is straight which makes it a linear line.
Hope this helped!
4x-5+2r= -11
What is the value of x?
Answers
Hope this helps
Have a great day/night
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.
Answers
Answer:
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
Step-by-step explanation:
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.
Name the theorem that lets you conclude that triangle and = cbd
Answers
what is half of 3.5
Answers
1.25 Step-by-step explanation:
Answer:
1.75
Step-by-step explanation:
3.5/2 = 1.75
hope this helps
plz help me i need it done
Answers
Answer:
Final answers are ,
• 9
•-7
• 7
• -85
Step-by-step explanation:
Given that when we input a number then first it will be multiplied by 2 and finally decreased by(-1) .
Input 5 :-
• Firstly Multiplying it by 2 → 2× 5 = 10
• Subtracting 1 from it → 10 - 1 = 9
Output = 9
====================================
Input (-3) :-
• Firstly Multiplying it by 2 → 2× -3 = -6
• Subtracting 1 from it → -6- 1 = (-7)
Output = (-7)
====================================
Input 4 :-
• Firstly Multiplying it by 2 → 2× 4 = 8
• Subtracting 1 from it → 8 - 1 = 7
Output = 7
====================================
Input (-42) :-
• Firstly Multiplying it by 2 → 2× -42 = -84
• Subtracting 1 from it → -84 - 1 = -85
Output = (-85)
====================================
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answers
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
solve for brain list asap
Answers
Answer:
i believe the answer to this x=8
32. A volleyball team played 25 games. The ratio of games won to
games lost was 6:4. How many games did the team win?
Answers
Number of volleyball games team win is 15 games
Given that;Number of volleyball games = 25 games
Won to lost ratio = 6:4
Find:Number of volleyball games team win
Computation:Number of volleyball games teams win = 25[6 / (6+4)]
Number of volleyball games teams win = 25[6 / 10]
Number of volleyball games team win = 15 games
Learn more:https://brainly.com/question/24140426?referrer=searchResults
Substitute x=3y+1 into the expression-x -7 and simplify
Answers
Answer:
Step-by-step explanation:
x-7
3y+1-7
3y-6
1. Dixie has a bag of coins. The bag contains 10
dimes, 1 nickels, and 4 penny. She will randomly
choose a coin from the bag. What is the probability
that Dixie will NOT choose a penny?
C.
15
15
A.
B.
D. Not Here
4
Please help me I give brainilest
Answers
Answer:
Its A 11/15
Step-by-step explanation:
There are 15 probabilities and 4 of them are pennies which you cant choose from that elimenates 4 possible outomes so subtract the 4 you get 11.
The graph of a proportional relationship is given along with an equation for a difference relationship. Which situation has a greater unit rate?
•A
• B
•C
Answers
Answer:
I think its C
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
yo welcome....
NANNIIII?!
5x - 4y = -8 x + 4y F-16
Answers
Consider the following frequency table representing the scores on a test.
Scores on a Test
Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4
Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5
Answers
Answer:
(a)56
(b)47
(c)3
(d)29
Step-by-step explanation:
From the given frequency
(a) Fifth class is 56-59.
The lower class boundary for the fifth class is 56.
(b) Second class is 44-47.
The upper-class boundary for the second class is 47.
(c) Class width = 47-44 = 3, 47-44 = 3.
(d) Number of scores between 39.5 and 55.5 is
=7 + 7+ 7 + 8 =29
In a zoo theres 5 tigers, 4 lions, and 7 cheetahs. What is the ratio of Cheetah: Tiger?
7:4
4:7
5:7
5:4
7:5
Answers
Answer:
7:5
Step-by-step explanation:
there are 7 cheetahs and 5 tigers soooooo
Evaluate 16/9 -2/9
4 2/3
2 2/3
1 5/9
2 4/9
Answers
Answer: C, 1 5/9
Step-by-step explanation:
16/9 - 2\9
= 14/9
= 14 ÷ 9
= 14/9 = 1 5/9
= 16/9 ÷ 2/9= 1 5/9
Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
Answers
9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
r/15≥-3 solve the inequality
Answers
Answer:
r≥-45
Step-by-step explanation:
r/15≥-3
Multiply each side by 15
r/15 * 15 ≥-3*15
r≥-45
3x+y=10
Which are solutions of the linear equation select all that apply
(1,6)
(2,4)
(3,1)
(4,-1)
(5,-5)
Answers
Find the missing side length in the right triangle below.
Answers
Answer:
69
Step-by-step explanation:
Heather studied for 30 minutes several days in a row. Before her test, she also studied for 10 more minutes. The total amount of time she spent studying was 280 minutes. Write and solve an equation to determine how many days she studied. Let d represent the number of days.
Answers
Answer:
9 days
Step-by-step explanation:
280=30d+10
270=30d
9=d
Practice:
3. The table shows the attendances y(in thousands) at an amusement park from 2005 to
2014, where x = 0 presents the year 2005.
Year, x
Attendance, y
0
850
1
845
2
828
3
798
4
800
5
792
6
785
7
781
8 9
775 760
The equation of the line of best fit is:
a
Interpolation: Approximate the year with b. Extrapolation: Predict the attendance at
an attendance of 770,000 people.
the amusement park in 2017.
Answers
omg that was hard I see that in my module to
The average weight of a mature human brain is approximately 1400 grams. What is the equivalent weight in pounds? Use the conversion equivalency 1 kilograms (kg) = 1000 grams (g) and 2.20 pounds (lb) = 1 kg.
a.
5.11 lb
b.
3.08 lb
c.
636 lb
d.
25.8 lb
Answers
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answers
Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
what are all the terms which are equivalent to the slope in a proportional relationship
Answers
Answer:
13
Step-by-step explanation:
well if you add the first parts then undwe rate the next you will get 13
Hello? Someone please help me with this.
Answers
Answer:
16x-6
Step-by-step explanation:
well in order to do so
u have to multiply 2 to 8x to get 16x
and then, multiply the 2 to -3 to get -6
this is the distributive property form. and that's how u get ur answer