Polygon ABCDE ~ Polygon FGHIJ
What is the scale factor of polygon ABCDE to polygon FGHIJ?
Answers
The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Polygon ABCDE is similar to the Polygon FGHIJ.
Then the scale factor is given as,
Scale factor = 27 / 6
Simplify the equation, then we have
Scale factor = 27 / 6
Scale factor = 9 / 2
The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ1
Related Questions
PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS
find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5
Answers
Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Equation for the height:
The height of the bird after x seconds is given by:
[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]
Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].
When the bird is at its highest?
Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]
The bird will be at a ground distance of 10.04 units away.
Which answer choice below best describes the number (22 + 6)
Answers
Answer:
You FAILED to include any choices.
Step-by-step explanation:
Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.
Answers
9514 1404 393
Answer:
no
Step-by-step explanation:
Triangle ABC has angle measures ...
A = 18°B = 110°C = 180° -18° -110° = 52°Triangle DEF has angle measures ...
D = 52°E = 18°F = 180° -52° -18° = 110°Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...
ΔABC ~ ΔEFD
The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.
Solve the following equation for x: 6( 4X +5) = 3( X +8) +3
Answers
Answer:
x= -1/7
Step-by-step explanation:
Can anyone solve this? I'm kind of stuck! Thank you!
Answers
Answer:
B
Step-by-step explanation:
0.25 (2d + 1) = 0.25(2d) + 0.25(1)
= 0.50d + 0.25
Answer:
The expression 0.25(2d+1) is equivalent
equivalent go 0.50d +0.25.
Step-by-step explanation:
If yoy simplify the expression if will be 0.5d+0.25
Puzzle- Please help me with this question
Answers
Answer:
Step-by-step explanation:
Multiply the two top numbers together. Then record the first digit of the answer.
5*4 =20 Record 2
9*8 = 81 Record 8
3*6 =18 Record 1
7*5 = 35 Record 3
Find the area of this isosceles trapezoid. A) 85.5 units2 B) 171 units2 C) 342 units? 345 units?
Answers
9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
_____
Additional comment
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
__
Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
What is 17 % of 3,000?
Answers
Answer:
510
Step-by-step explanation:
17% of 3000 would be 17 in 30 hundreds, think about it that way
Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?
Answers
Answer:
6 m
Step-by-step explanation:
The diagrammatic illustration of the problem. Is attached
The diaabcw between Aaron and Jessica can be obtained using Pythagoras :
d = √(10² - 8²)
d = √100 - 64
d = √36
d = 6
Find the missing angle
Answers
Answer and Step-by-step explanation:
First, solve for the angle TRS, so that we can find the missing angle.
Subtract the two angles from 180 (because all triangle's angles add up to 180).
180 - 58 - 60 = 62.
By the vertical angles theorem, 62 is equal to the missing angle.
#teamtrees #PAW (Plant And Water)
You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population
Answers
Answer:
The 98% confidence interval for the mean of the population is (59, 68.2).
Step-by-step explanation:
Before building the confidence interval, we need to find the sample mean and the sample standard deviation.
Sample mean:
[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]
Confidence interval:
We have the standard deviation for the sample, and thus, we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59
The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.
The 98% confidence interval for the mean of the population is (59, 68.2).
If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.
Answers
Answer:
2 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
8 x 4 = 32 total coins
32÷8 = 4
Therefore, there are 4 times as many coins as people.
Hope this helps! :)
A car company invests $200,000 in developing auto-car software. Each software costs $150 to produce and
sells for $400. How many software must the company sell break-even? Determine the break-even point.
Refer to the Cost and Revenue equation.
Answers
Answer:
Break even unit = 800
Break even point = $320,000
Step-by-step explanation:
Given:
Amount invested (Fixed cost) = $200,000
Each software cost (variable cost) = $150
Selling price = $400
Find:
Break even unit
Computation:
Assume;
Break even unit = a
Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]
Total cost = 200,000 + 150a
Total revenue = Selling price[Break even unit]
Total revenue = 400a
So,
400a = 200,000 + 150a
250a = 200,000
Break even unit = 800
Break even point = 400a
Break even point = 400(800)
Break even point = $320,000
Help!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is one hundred and eight 108
Step-by-step explanation:
108 bro trust me
USE TABLE AOR TABLE RFOR
SERVING UP A LARGE FEAST?
96"
42"
A А
B
R=45"
SHOW AN EXPLANATION ON WHICH TABLE YOU CHOOSE!!!
Answers
Answer:
use table B
Step-by-step explanation:
the perimeter of table A =
2×(96+42) = 2× 138 = 276 inches
the perimeter of table B =
2×3.14×45 = 282.6 inches
table B > table A
if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis
Answers
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (2, 3 ) → A' (- 2, 3 )
B (4, 5 ) → B' (- 4, 5 )
C (6, 2 ) → C' (- 6, 2 )
A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!
Answers
Answer:
456,796 passwords
Step-by-step explanation:
Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords
Find the quotient of these complex numbers (6-I) divided by (4+3i)=
Answers
Answer:
[tex]\frac{21}{25} -\frac{22}{25} i[/tex]
Step-by-step explanation:
We can start by writing the division as a fraction:
[tex]\frac{6-i}{4+3i}[/tex]
In order to rationalize the denominator, we need to multiply by the conjugate:
[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]
I don’t understand the steps for this problem
Answers
Answer:
-53
Step-by-step explanation:
You start off with the g of x equation
then you substitute -5 for the x value
after you solve that, you should get g of x = 23
then you take the f of x equation and plug 23 in for x
then you simplify that and you should end up with an answer of -53
Step-by-step explanation:
i just need points so i can ask my questions
A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?
Answers
Answer:
0.15
Step-by-step explanation:
Use the formula C = 2nr and = 3.14 to find the circumference of a circle with a radius of 5 meters
Answers
Answer:
31.4
Step-by-step explanation:
C = 2 x 3.14 x 5
C = 10 x 3.14
C = 31.4
Solve the formula Ax + By = C for X
Answers
Answer:
Step-by-step explanation:
Ax+By=C
Ax=C-By
x=C-By/A
Which equation is written in factor form?
Answers
Which of the following is equal to the expression below?
A.
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
hope this helps
Can someone help with this one
Answers
Answer:
2 bicycles
Step-by-step explanation:
let no. of bicycles be xno.of tricycles = (6 -x)as there were 5 bicycles and tricycles
now,
a bicycle has 2 wheels a tricycle has 3 wheelstotal no.of wheels = 16
2x + 3(6 - x) = 16
2x + 18 - 3x= 16
2 - x = 0
2 = x
therefore, there are 2 bicycles.
Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.
Answers
Answer:
the common difference is 10
Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.
Answers
Answer:
t=9/10 Hope that helped
Armycee:)
Suppose we want to choose 5 letters without replacement from 16 distinct letters
Answers
Answer:
16P5
Step-by-step explanation:
16*15*14*13*12
A wall has an area of 40 square feet. Its
height is 8 feet. Which equation could you
use to find its width?
Answers
Help me PLEASEEEEEEEEEEEEE
Answers
Answer:
D. 144
Step-by-step explanation:
Find volume of shipping container:
2 2/3 = 8/3
2 x 1 = 2
8/3 x 2/1 = 16/3
Find volume of cube:
1/3 x 1/3 = 1/9 x 1/3 = 1/27
Find how many boxes fit in container:
16/3 ÷ 1/27
16/3 x 27/1
Simplify:
16/1 x 9/1 = 144/1
Answer: 144