Answer:
The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3
Step-by-step explanation:
Quadrilateral ABCD has the following coordinates
A(1, 5), B(2, 6), C(3, 3) and D(1, 3)
The image A'B'C'D' has the following coordinates;
A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)
The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2
The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10
The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2
The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2
For quadrilateral, we have;
A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)
The length of segment [tex]\overline {A'B'}[/tex] = √(0 - (-3))² + (4 - 1)²) = 3·√2
The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10
The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6
The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6
The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;
[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]
Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3
What is the answer?
Is it A B C or D
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
square the 3 and times 4 and 2
Which statement best describes the area of Triangle ABC shown below?
А
с
00
(5 points)
O It is twice the area of a square of side length 4 units.
O It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle with sides 4 units x 3 units.
It is one-half the area of a rectangle with sides 4 units x 3 units.
Answer:
Would be the 3rd one I believe
Step-by-step explanation:
The statement that is true is:
It is one-half the area of a rectangle with sides of 4 units x 3 units is true.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The area of the triangle.
= 1/2 x base x height
Now,
Base = 4 units
Heights = 3 units
So,
Area = 1/2 x 4 x 3 = 6 units²
Now,
It is twice the area of a square of the side length of 4 units.
6 units² < 16 units²
This is not true.
It is one-half the area of a square of side length 4 units.
1/2 x 16 units² = 6 units²
8 units² = 6 units²
This is not true.
It is twice the area of a rectangle with sides 4 units x 3 units.
2 x 12 units² = 6 units²
24 units² = 6 units²
This is not true.
It is one-half the area of a rectangle with sides 4 units x 3 units.
1/2 x (4 x 3) units² = 6 units²
6 units² = 6 units²
This is true.
Thus,
It is one-half the area of a rectangle with sides of 4 units x 3 units is true.
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Can someone help me I'm confused
Answer:
I think its 5 t shirts for 11 dollars?
Step-by-step explanation:
Answer:
When she buys 0 t-shirts, the price is $0.
Step-by-step explanation:
need help im dum (not really but i dont get it)
i will give brainliest
Answer:
20
Step-by-step explanation:
to do % you have to multiply your number (50) by the % which is 40%
but you have to turn your number into a decimal (.40) then multiply
you'll get 20 and there is your answer!
hope this helps!
Don’t mind my answer...it’s wrong pls help
Answer:
try 8
Step-by-step explanation:
The volleyball team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 12 eagles for $34.56. Company B sells 15 eagles for $42.90. Company C charges $51.30 for 18 eagles. Which company has the best buy?
Answer:
Step-by-step explanation:
A=34.56/12=$2.88 each
B=42.90/15=$2.86 each
C=51.30/18=$2.85 each
So C is the cheapest.
Graph the line with the equation y=
- 1/5x + 4
Step-by-step explanation:
look at the attachment
.....
The graph of the linear equation is plotted and y = ( -1/5 )x + 4
Given data ,
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
On simplifying , we get
y = ( -1/5 )x + 4
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = -1/5
And , the y-intercept of the graph of the line is when x = 0
So , when x = 0
y = ( -1/5 ) ( 0 ) + 4
y = 4
Hence , the equation of line is y = ( -1/5 )x + 4
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Answer fast!!!!!!!!!
Answer:
$0.52 = 0.52
Step-by-step explanation:
I think so.....
5.) Forty percent of the students at Pinecrest Middle School have a school
sweatshirt. There are 560 students at the school. How many students have
a school sweatshirt? *
PLSS HELP
224 students have a sweatshirt.
Solve for b
Solve for b : -3b+2.5=4
Answer: -0.5
Step-by-step explanation:
-3b = 4-2.5
-3b = 1.5
(-3b)/-3 = 1.5/-3
b = -0.5
Answer:
should be - 0.5
Step-by-step explanation:
- 3b + 2.5 = 4
1.Turn the equation around
1. -3b = -2.5 + 4.
1. The reason why you turn the 2.5 into a negative is because you basically doing the oppisite if that makes sence.
2. Add -2.5 + 4
2. -2.5 + 4 = 1.5
2. I just added.
3. Plug 1.5 into the equation. Like so
3. -3b = 1.5
3. I just replaced -2.4 + 4 with the answer
4. Divied -3b = 1.5
4. -3b/-3b = 1.5/-3b = -0.5
4. What you do to one side you have to do to the other so -3b/-3b is 0 or it just is not there anymore next you take -3b and divide it by 1.5 and get - 0.5 BAM.
5. Plug -0.5 in for b.
5. -3(-0.5) + 2.5 = 4
Martha rented a sedan at a cost of $21.25 a day for three days. She drove 980 miles at 25 cents a mile. Gas cost $63.45 what was the cost per mile
Answer:
38 cents per mile
Step-by-step explanation:
Let us first calculate the total expenditure by Martha
= 21.25*3= $ 63.75
Cost of gas =$ 63.45
Therefore cost per mile = 127.2/980= 0.1297+0.25= $0.3797 or 38 cents per mile
7n +2 –(2n +7) pls help I will give you 15 points
Answer:
5n -5
Step-by-step explanation:
7n +2 –(2n +7)
7n +2 -2n -7
5n -5
Find the quotient and remainder when the first polynomial is divided by the second 3x⁴+16x³+6x²-2x-13; x+5
Answer:
Quotient : 3x³ + x² + x + 3
Step-by-step explanation:
Give the polynomial :
Dividend : 3x⁴+16x³+6x²-2x-13;
Divisor : x+5
Kindly check attached picture for detailed explanation.
Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below.
Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3).
m = m equals StartFraction x 2 minus x 1 over y 2 minus y 1.
= Equals StartFraction negative 7 minus 2 Over 4 minus negative 3.
= Negative StartFraction 9 Over 7 EndFraction.
The slope is Negative StartFraction 9 Over 7 EndFraction..
What error did she make?
She simplified the denominator incorrectly. The denominator simplifies to –7.
She labeled the points incorrectly. The point (–7, 4) should be (x1, y1).
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Answer:
It is C 100% 2021 on edge
Step-by-step explanation:
Answer:
The answer is C "She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."
Step-by-step explanation:
I just did it and got it right.
Destiny spent $12.00 of the $20.00 in her wallet.Write a decimal and percent that represents the fraction of the $20.00 that denstiny spent
Answer:
40% and 0.4
Step-by-step explanation:
1.) Eric is twice as tall as Kevin. Kevin is also three feet shorter than Eric.
a. Use mathematical sentences to represent all of the information in this problem.
b. Find each boy's height. HINT: Can you represent both boys with ONE variable?
write down five numbers, so that the mean is 6, the median is 5 and the mode is 4.
Answer:
10, 4, 5, 7, 4
PLEASE HELP (don't put fake answers !!)
Answer:
=33.55 m^2
Step-by-step explanation:
The area of the trapezoid is
A = 1/2 a(b+c) where a is the height and b and c are the bases
A = (1/2 *5.5)(5+7.2)
= 2.75(12.2)
=33.55 m^2
Answer:
i resubmitted my Persuasive Argument: Letter to Gov. Abbott Choice
Step-by-step explanation:
pq=3-a√x
make x the subject
Step-by-step explanation:
pq = 3 - a√x
Making x subject
a√x = 3 - pq
√x = (3 - pq) / a
x = [ (3 - pq) /a ]²
Hope it will help :)
solve for x and y
-4x + 9y = 9
x - 3y = -6
Answer:
Solve for x:
[tex]x = \frac{9(y - 1)}{4} [/tex]
Solve for y:
[tex]y = \frac{4x}{9} + 1[/tex]
Which expression is equivalent to (6 * p ) + 3? *
Answer:
What are the other choices
Step-by-step explanation:
twice a number when described by 7 gives 45 . find the number. and also who wants to talk im bored
Answer:
Answer
Let the number be x.
twice =2x
When it is decreased by 7 we get the following equation:
2x−7=45
⇒2x=45+7
⇒2x=52
⇒x=252
∴x=26
The number is 26.
Answer:
g
Step-by-step explanation:
5/8 + 3/4 divide by -2/3 - 5/6
Answer: -4/3
Step-by-step explanation: hope this helps :)
Help me pls! I’ll give u 15 points!
Answer:
add 15 by 19 by 12 to get 46 than cut it in half to get 23!
Hope i helped please mark brainiest I need it!
is 4 to 7 the same as 7 to 4? Explain why or why not
They are not the same
The reason why they arent that same is bc they both are in different orders i hope this helps u and may i get brainliest? <3
Ann and bill shared £440 in the ratio 9:2 Ann gives bill some of her money Bill now has the same amount as ann
Answer:
Bill gave Ann £220
Step-by-step explanation:
plz mark brainliest :D
Ann shared £360 and Bill shared £80.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ann and bill shared £440
Ratio = 9:2
Total is = 9+ 2= 11
So, Anna shred
= 9/11 x 440
= 360
and Bill shred
= 2/11 x 440
= 80
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Rich bought 5 cupcakes and one pie. He knows his total bill is $13.14 and knows the pie was
$6.89. How much is the cost of one cupcake?
$6.25
Take the total and subtract the amount of money from the pies to get the amount for cupcakes
I have asked so many times and no one will answer. :(
1. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/2)⁷
2. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/11)⁻⁷
Answer:
1) [tex]\frac{1}{2^7}[/tex] ; 2) [tex]11^7[/tex]
Step-by-step explanation:
1) Using the Power of a Fraction Rule [tex](\frac{a}{b} )^x = (\frac{a^x}{b^x} )[/tex],
[tex](\frac{1}{2} )^7 = (\frac{1^7}{2^7} )[/tex], which can just be simplified to [tex]\frac{1}{2^7}[/tex].
2) Using the Negative Exponent Rule, [tex]a^{-x} = \frac{1}{a^{x}}[/tex],
[tex](\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}[/tex], which can be simplified to [tex]11^7[/tex].
In which diagram do <1 and <2 appear to be vertical angles?
what is the actual length?
Answer:
Step-by-step explanation:
2ft