in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.
PLEASE HELPP
Answers
Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
To learn more on Triangles click:
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Related Questions
Triangle UVW is formed by the three squares G, H, and I:
A right triangle UVW is shown. On the side UV of this triangle is a square. Inside the square is written Square G, Area equal to 81 square units. On the side VW of this triangle is another square. Inside the square is written Square H, Area equal to 144 square units. On the side UW of this triangle is another square. Inside the square is written Square I, Area equal to 225 square units.
Which statement best explains the relationship between the sides of triangle UVW?
UV + VW = UW, because 81 + 144 = 225
(UV)2 + (VW)2 = (UW)2, because 152 + 92 = 122
(UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
UV + VW = UW, because 152 + 92 = 122
Answers
Answer:
The correct answer would be C- (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
-Thank you
Answer:
C. (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
Step-by-step explanation:
81 + 114 = 225
225 = 225
100% correct I took the test today and got 100%. :)
can i plz have brainliest
What is 1 15/16 divede by 7/8 in fraction form
Answers
Answer:
2 13/16
Step-by-step explanation:
1 15
16
+
7
8
= (1 + 0) + (
15
16
+
7
8
)
= 1 +
15
16
+
7 × 2
8 × 2
= 1 +
15
16
+
14
16
= 1 +
15 + 14
16
= 1 +
29
16
= 1 +
1 13
16
=
2 13
16
evaluate f(-3) if f(x) = 5x^3+2x^2-4x+1
Answers
Answer:
-3326
Step-by-step explanation:
replaces the x's with -3
so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326
Suppose you deposit $2,500 in a savings account that pays you 5% interest per year.
a. How many years will it take for you to double your money?
b. How many years will it take for your account to reach $8,000?
Answers
Answer:A=4 Years B=6 years
Step-by-step explanation:
Rashad has 24 Almonds and 32 walnuts for making snack bags. he wants to make as many snack bags as possible and wants each bag to have the same amount of almonds and walnuts. What is the largest number of snack bags he could make
A.3 bags
B.4 bags
C. 8 bags
D. 16 bags
Answers
Branson purchased a wooden board 9/10 yard long to split into smaller pieces for a project. If he cuts them into smaller pieces that are each 1/12 yard long. How many boards will we have?
Answers
Answer:YASSA POINTS
Step-by-step explanation:
what is 48.75% of 204..............
Answers
So the answer is 99.45
Enter the number that belongs in the green box cd=
Answers
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
a student finished 8 of her homework problems in class if the ratio problem she finished her problem she has left with 4:1 how many homework problems did she have total
Answers
Step-by-step explanation:
b HD hks Gojng umd book is Rio hz Wii
Given the polynomial 5x3 + 4x2 - 6x + 2, which coefficient is considered the "Q" value?
Answers
Answer:
The q value coefficient is 5
Step-by-step explanation:
The q value are all positive and negative factors of the first coefficient (5)
The p value are all positive and negative factors of the last coefficient (2)
[tex] \frac{18}{100} [/tex]
is what percent
A. 36%
B. 8%
C. 9:
D. 18%
Answers
Find the missing side
Answers
Answer:
I believe the answer is 48
Step-by-step explanation:
Subtract 30 from 78 to get your answer.
Plezzzzzwzzzzzzzz help
Answers
Answer:
[tex] 3 - a [/tex]
Step-by-step explanation:
Given that when you add two numbers together the result is 3.
The greater of the number is given as a.
Let "x" represent that lesser number.
Thus:
[tex] a + x = 3 [/tex]
To make x the subject of the formula. Subtract a from both x.
[tex] a + x - a = 3 - a [/tex]
[tex] x = 3 - a [/tex]
Therefore, the expression that represents the lesser number, x, is:
[tex] 3 - a [/tex]
An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?
Answers
Given:
An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.
To find:
Distance in miles must a rider go to have an average cost per mile of $4.60.
Solution:
Let x be the number of miles the rider travel.
Total charges = Fixed charges + Variable charges
According to the question,
Fixed charges = $15
Variable charges = $4x
So, total charges
[tex]T=15+4x[/tex]
Divide the total charges by number of miles to get the cost per mile.
[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]
Average cost per mile is $4.60.
[tex]4.60=\dfrac{15+4x}{x}[/tex]
[tex]4.60x=15+4x[/tex]
[tex]4.60x-4x=15[/tex]
[tex]0.60x=15[/tex]
Divide both sides by 0.60.
[tex]x=\dfrac{15}{0.60}[/tex]
[tex]x=25[/tex]
Therefore, the required number of miles is 25.
I need help finding an eqaution for this. Thank you in advanced
Answers
Answer:
Formula: [tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]
Normal Price: [tex]\$1.15[/tex]
Step-by-step explanation:
First, you have to find the current price of one cookie.
Since 7 cookies cost $2.80, then the price for one sale price cookie would cost
Then you would have to add the $0.75 to the sale price to get the normal price.
[tex]\$0.4\ +\ \$0.75=\$1.15[/tex]
The normal price of a cookie would be $1.15.
The formula to get that answer would be:
[tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]
Hope this helps!
101
question
3. Which of the following is the representation of a decimal number?
O A. 25
O B. 23
C. 33/10
D. 1/2
Mark for review (Will be highlighted on the review page)
Answers
Answer:
D. 1/2
Step-by-step explanation:
1/2 = 0.5
1/2 it´s a representation of a decimal number.
Evaluate (1 2/3)^3. A. 3 8/27 B. 4 8/27 C. 4 4/9 D. 4 17/27
Answers
Answer:
D. 4 17/27
Step-by-step explanation:
(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27
Answer:
D
Step-by-step explanation:
[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]
Ruben is touring New York City with his family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:00 P.M. They want to spend 1 hour and 30 minutes at the Empire State Building, 3 hours in Central Park, and 45 minutes in Times Square. What is the latest time Ruben's family can start their tour in order to make it to dinner on time?
Include A.M. or P.M. in your answer Please help ASAP!!!
Answers
Answer: 2:45 pm
Step-by-step explanation:
Find the length of the tour;
90 minutes at Empire State
180 minutes in Central Park
45 minutes in Times Square
= 90 + 180 + 45
= 315 minutes
= 5.25 hours
= 5 hours 15 minutes
Dinner Reservation is at 8.
Latest time they can start is;
= 8 - 5.25 hours
= 2.75
= 2 hours 45 minutes
= 2:45 pm
Can someone help me out.
Answers
Answer:
63 sq
Step-by-step explanation:
9*7
Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number
Answers
Answer:
4x – 5
4 (x – 5)
4 ( x + 5)
5 less than the sum of 4 and a number
5 less than the product of 4 and a number
the product of 4 and the difference of a number and 5
4 more than the sum of a number and 5
5 more than the product of 4 and a number
the product of 4 and the sum of a number and 5
4 more than 5 less than a number
Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero
Answers
Answer: Choice D)
No slope, the term x2-x1 is zero and we cannot have zero in the denominator.
=========================================
Explanation:
The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.
The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.
10. You can model the population of a Florida town between the years 1980 and 2015 by
the function f(x) = 90,000(x – 1960), where x is the year. In what year did the town have a
population of 450,000?
Answers
by what percent should jack increase the number x to get 9/4*x
Answers
Answer:
125%
Step-by-step explanation:
x --> 9/4 x.
x and x cancels out so we have to find out what percent 9/4 is. 9/4= 2 1/4 = 225%.
since we first started from 100%, 225%-100%=125% Hope this helped :)
Answer:
125% percent
Step-by-step explanation:
x --> 9/4 x.
x and x cancels out so we have to find out what percent 9/4 is. 9/4= 2 1/4 = 225%.
since we first started from 100%, 225%-100%=125% Hope this helped :)
Help Please, im stuck on this question.
Answers
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
yards shorter would it be if Julie took the diagonal shortcut, x?
16 yd
63 yd
х
A
(10
Answers
Answer:
65 yd
Step-by-step explanation:
The image of this walking path of Cristal is missing, so i have attached it.
From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.
Thus, we can use pythagoras theorem to find the area. Thus;
x² = 16² + 63²
x = √(16² + 63²)
x = √4225
x = 65 yd
Help me with this plz!?!? I will mark brainliest!!!
Answers
Is 38f
Which statement best represents the equation below?
10+(-10)=0
1. A dog runs 10 feet to the left and then runs another 10 feet to the left .
2. A car goes 10 feet and then reversed 10 feet .
3. A bottle contained 10 litters of juice after 10 liters spilled on the floor .
4. A girl earns $10 in 10 hours .
Answers ASAP!!!!!
Answers
Answer:
the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start
Suppose your normal body temperature is 98 3/5degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
Answers
How does 5x/4 -2=3x/2-4 simplify to -5/2
Answers
X = 8
Step by step:
Add two to both sides
5x/4 = 3x/2 - 2
Now multiply 4 with both sides
5x = 6x - 8
Take the 5x to the other side
0= 6x -5x -8
0= x - 8
X = 8
Two linear functions are combined with addition, and then the same two linear functions are combined by
multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x2 - 96x
72x2 – 108x
72x2 - 204x + 144