Answers
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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Related Questions
Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel on its way to earth?
PLEASE EXPLAIN YOUR ANSWER THROUGHLY (i need to learn for a test)
Answers
9514 1404 393
Answer:
2.41×10^14 miles
Step-by-step explanation:
The distance usually associated with a light-year is about 6 trillion miles. More precisely, it is about 5.879×10^12 miles. Then 41 light-years is 41 times that distance, or ...
41 light-years = 41(5.879×10^12 miles) ≈ 2.41×10^14 miles
_____
You can figure the length of a light-year from the speed of light and the length of a year. The speed of light is about 186,282.4 miles per second. The number of seconds in a day is 86,400, and the number of days in a year averages 365.2425. Multiplying these values gets you to 5.878664e12 miles per year. The number used above is reasonable for most purposes. At astronomical distances, it is difficult to measure precisely.
which is the choice to the inequality below?
-x/9>4
A. x<4
B:x<-36
C.x<-0.44
D. x>-36
Answers
Answer:
x < -36
Step-by-step explanation:
-x/9>4
Multiply each side by -9, remembering to flip the inequality
-x/9 * -9 < 4*-9
x < -36
4/7 of a $42 restaurant bill = $ ?
Answers
The Answer Is:
24
-Hope this helps!
Answer:
24 Dollars
Step-by-step explanation:
In order to figure out the total, we must multiply 42 times 4/7. We get a total of 24.
y = 4x +zx + 6 solve for x
plz
Answers
Answer:
y = x(4+z)+6
y-6 = x(4+z)
x=(y-6)/(4+z)
Step-by-step explanation:
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answers
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
A line passes through the point (8,-2) and has a slope of -5/2. Write an equation in slope intercept form
Answers
Answer:
y= -5/2x+18
Step-by-step explanation:
(Refer to picture)
Just like the last one, use the point-slope formula: y-y1=m(x-x1)
Plug in (8, -2) as y1 and x1
Simplify the equation.
You are making some chili and need some onions and peppers. One pound of onions costs $0.97 and one pound of peppers cost $1.30. What is the total cost of 0.76 pounds of onions and 1.5 pounds of peppers? The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is $
Answers
Answer:
The cost of 0.76 pounds of onion is [tex]x = \$ 0.988 [/tex]
The cost of 1.5 pounds of peppers is [tex] y = \$ 1.455[/tex]
The total cost is [tex]z = \$ 2.443 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of one pound of pepper is C = $0.97
The cost of one pound of onion is [tex]C_o = \$ 1.30[/tex]
Generally the cost of 0.76 pound of onion is mathematically represented as
[tex]x = \frac{0.76 * 1.30}{1}[/tex]
=> [tex]x = \$ 0.988 [/tex]
Generally the cost of 1.5pound of peppers is mathematically represented as
[tex] y = \frac{1.5 * 0.97}{1}[/tex]
=> [tex] y = \$ 1.455[/tex]
The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is
[tex]z = x+ y[/tex]
=> [tex]z = 0.988 + 1.455 [/tex]
=> [tex]z = \$ 2.443 [/tex]
52 cat owners shoed up for the annual Cat Convention, including the Crazy
Cat lady who owns 50 cats (The crazy cat lady owns more cats than anyone
else at the convention.).
Explain how you can be certain that at least two people have the same
number of cats.
Answers
Answer:
Due to the amount of cat owners, and the fact that the highest amount of cats that one person owns is 50, It means that the probability of two of them having the same number of cats is high.
Correct me if im wrong
I tried
Step-by-step explanation:
Rusty is training for a triathlon. He runs 4miles for every 9 miles he bikes. At the end of his training, he has run o total of 92 miles. How many total miles did he bike?
Answers
Answer:
Rusty bikes for 207 miles
Step-by-step explanation:
Because 23 times 4 gives you 92 so you have to also multipy 9 by 23 gives you 207 miles. So Rusty biked for 207 miles. Hoped this helped.
Answer:
207
Step-by-step explanation:∈
-2x + 7 = x-2
What is this ? In the most simplest steps possible
Answers
Answer:
Let's solve your equation step-by-step.
−2x+7=x−2
Step 1: Subtract x from both sides.
−2x+7−x=x−2−x
−3x+7=−2
Step 2: Subtract 7 from both sides.
−3x+7−7=−2−7
−3x=−9
Step 3: Divide both sides by -3.
−3x /−3 −9 /−3
Answer:
x=3
Hope this helps
(>'-'<)
Hi help please this is due today please help ASAP
Answers
Answer:
Step-by-step explanation:
1 Select the correct answer. Which rate is equivalent to ? A. B. C. D.
Answers
Answer:
its d
Step-by-step explanation:
whats pi to the thousandth digit? no google or spam please and a explanation
Answers
Answer: PI to the thousandth digit is 8.
Step-by-step explanation: Since 9 is the last digit in PI, and 3 is the digit at the beginning of PI, then that means that 8 is PI to the thousandth digit.
4. Solve for :
a) ķx = 4
Answers
Use the equation below to find y, if m= 10, x= 3, and b = 8.
y=mx+b
Answers
Answer:
y = 38
Step-by-step explanation:
y=mx+b
y = 10 x 3 + 8
y = 30 + 8
y = 38
Taylor earned $240 last week If she worked20 hours, how much
money did she earn per hour?
Answers
Answer:
per hour is 12 dollars
Step-by-step explanation:
240/20= 12
Answer:
That would be $12
Hope this helps!
The sum of three consecutive even numbers is 66. Find the numbers
Answers
Answer:
20, 22, and 24
Step-by-step explanation:
hope this helps. can I also have brainliest please :)
Answer:
BRAINLIEST PLZZ
Step-by-step explanation:
The other 2 numbers are (x + 2) and (x + 4)
Their sum is 66:
x + (x + 2) + (x + 4) = 66
x + x + 2 + x + 4 = 66
3x + 6 = 66
3x = 60
x = 20
2nd number = x + 2 = 20 + 2 = 22
3rd number = x + 4 = 20 + 4 = 24
Answer: The numbers are 20, 22 and 24
2 1/7+3/7(3x−5)=−4
A) x= -5 1/7
B) x= -3 1/9
C) x= -1 23/49
D) x= - 8/9
Answers
The answer fam is...........B) x= -3 1/9
which is greater -0.53 or-0.51
Answers
Answer:
-.51 is greater
Step-by-step explanation:
-0.51 is greater than -0.53.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
-0.53 and -0.51
The number line from -0.50 to -0.55.
<_____-0.55__-0.54__-0.53__-0.52__-0.51__-0.50_____>
We see that,
-0.53 is less than -0.51
Thus,
-0.53 < -0.51
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the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles
Answers
Answer:
85 miles.
Step-by-step explanation:
Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.
In the accompanying diagram of parallelogram abode m\angle A=(2x+10) and m/angle=3x. Find the number of degrees in m/angle B (open pictures for diagram)
Answers
Answer:
x = 55
Explanation:
In a parallelogram, the sum of each two consecutive angles is 180°.
In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°
Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55
Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°
Hope this helps :)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the distributive property to factor the expression.
2
k
+
10
Answers
Answer:
Step-by-step explanation:
2k+10 | Both terms share the common factor two, so you can take it out (divide both terms by 2)
2(k+5) | Now if you use the Distributive Property to double check, you get 2k+ 10 again
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000 until 2016. Which of the following is the most reasonable domain for the function?
Answers
Answer:
x_>0,_>3000
Step-by-step explanation:
I saw the answer key :)
The domain of a function is the set of input values the function can take.
The reasonable domain of the function is [0,16]
From the question, we understand that x represents the number of years after 2000 until 2016.
In 2000, the value of x is 0In 2016, the value of x is 16Hence, the reasonable domain of the function is [0,16]
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PLEASE HELP ME ASAP I HAVE 4 QUESTIONS BRAINIEST TO WHO IS RIGHT
Answers
Answer:
B: Distinct lines
Step-by-step explanation:
If you go to desmos graphing calculator add put the equations in you can see they never interesct
Answer:
B) distinct parallel lines
Step-by-step explanation:
First, place both equations in slope-intercept form:
y + 6 = [tex]-\frac{1}{3}[/tex] (x - 15)
y + 6 = -1/3x + 5
y = -1/3x - 1
2x + 6y = 24
6y = -2x + 24
y = -2/6x + 4
y = -1/3x + 4
Because they have the same slope and different y-intercepts, they are parallel.
10. Which point is the solution for this System of equation?
Answers
Answer:
Our X and Y make (2,-1)
Step-by-step explanation:
To find the point that is the solution for the system of equation, we must use the SUBSTUITION property,
[tex]2x+x-3=3\\[/tex]
Now let's solve this, by adding common terms
[tex]2x+x=3x\\3x-3=3[/tex]
Now we have to isolate the variable,
3x-3=3
Add 3 to both sides (opposite of the current)
3x=6 (DIVIDE three to both sides, to isolate the variable)
x=2 ( We know our x value is 2)
Now let's substitute this value into the Y.
y = 2-3 ( now subtract)
y= -1
Our X and Y make (2,-1)
-4/7 + (-4/3) HELP ME
Answers
Answer:
-40/21
Step-by-step explanation:
(-4/7) + (-4/3) =
First you need to find a common denominator:
(-4/7)(3/3) + (-4/3)(7/7) =
(-12/21) + (-28/21) =
Then combine the two fractions:
(-40/21)
And because you cannot simplify further, you are finished.
Which expressions are equivalent to 46 ?
Answers
Answer:
frus
ggyfhhfgggdg the nearest whole number is the nearest whole thing that is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number of the nearest and the product of the nearest and we are all in this together to to 21211111111wwethkuff
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answers
Answer:
12 and 13
Step-by-step explanation:
Can someone help me with this math question? First to answer will get Brainliest! :)
Answers
Answer:
A
Step-by-step explanation:
yiu have to rotate it in order to make that
The measure of the sides of a
triangle are in the extended
ratio of 3:5:7. The perimeter
of the triangle is 45 in. What
are the measures of the three
sides?
a) 6, 16, 23
b) 8, 15, 22
c) 6,9,15
d) 3, 5, 7
e) 9, 15, 21
Answers
Answer:
e) 9, 15, 21
Step-by-step explanation:
First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.
3x + 5x + 7x = 45
Then you add the like terms and get
15x = 45
Solve for x
x = 3
Now multiply 3 by each number
3•3= 9
3•5= 15
3•7= 21
Answer: 9, 15, 21