Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. Original Segment EF is twice as long as segment AB. Segment CD is twice as long as segment FG The Measure fo Angle HEF is twice the measure of Angle DAB. The area of EFGH is twice the area of ABCD
Answers
The question is incomplete. Here is the complete question.
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.
A. Segment EF is twice as long as segment AB.
B. Segment CD is twice as long as segment FG
C. The measure of angle HEF is twice the measure of angle DAB
D. The length of segment EH is 16 units.
E. The area of EFGH is twice the area of ABCD.
Answer: A. Segment EF is twice as long as segment AB
D. The length of segment EH is 16 units
E. The area of EFGH is twice the area of ABCD
Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.
Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.
Analysing statements above:
A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;
B. This is incorrect because they are not corresponding sides, so they are not related;
C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;
D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:
EH = 2 x 8 = 16 units
E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.
Related Questions
Solve for n.
4/7 x n = 14
Answers
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]
Help me please need help
Answers
Answer:
w = 10
Step-by-step explanation:
I did the math and and I got 10
Hope it helps!! :D
Answer:
w = 10?
Step-by-step explanation:
The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?
Answers
Answer:
once again, the pattern is multiply by 3
Answer:
972
Step-by-step explanation:
the pattern is multiplied by 3
Point B is located at (0, 2) and is translated to point B' with coordinates (1, -1), which translation did point B undergo? One unit right and three units down One unit right and one unit down Two units right and two units down Three units left and one unit up
Answers
Answer:
One unit right and three units down
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).
Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.
please please pleaseee
Answers
Answer:
a. C= 5/9(F-32)
Step-by-step explanation:
you have to subtract 32 from both sides so that leaves you with f-32=9/5c and so then you need to multipy each side my 5/9 and that leaves yoh with 5/9(f-32)=c
A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?
Answers
Answer: x = Number of haircuts
Location A profit: 45x-1200
Location B profit: 60x-1800
(Lets assume that the profit is the same for each location)
45x-1200=60x-1800
By solving that we found:
x = 40 Haircuts
Hope this helps!
Step-by-step explanation:
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answers
Answer:y=9
Step-by-step explanation:
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:
In the book,the distance between two planets is given as 4.07×10^¹² kilometres. The speed of light is 1.1×10^⁹ kilometres per hour. Calculate the time taken for light to travel from one of these planets to the other. Give your answer in days and hours.
Answers
Answer:
3700hours
154days
Step-by-step explanation:
Speed can be defined as the distance cover per time, it can be expressed as
Speed= distance/ time........eqn(1)
Given:
distance between two planets= 4.07×10^¹²
speed of light = 1.1×10^⁹ kilometres per hour
Time= ??
Then substitute the values into equation (1) we have
Speed= distance/ time
1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time
Cross multiply, we have
Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)
Time= 3700hours.
To convert to day, we know that
60 minute= 1hour
24hour=1day
Time= (3700hour×1day)/24hour
Time= 154days approximately.
Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answers
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
A tortoise makes a journey in two parts it can either walk at 4cm/s or Crawl at 3cm/s if the tortoise walks the first part and crawl the seconds it takes 100 seconds find the length of the two parts of the journey
Answers
Answer:
walking 57 seconds Crawling 43 seconds
Step-by-step explanation:
100s
Walking + crawling
4cm/s. +. 3cm/s
= 7cm/s
walking length= 4cm/s/7cm/s x 100s
=57.14 or 57s
crawling =100s- 57s
=43s
what is (3,0) reflected on the y-axis
Answers
Reflecting across the y axis, the x value becomes opposite and the y value remains the same.
(3,0) becomes (-3,0)
Answer:
(-3, 0)
Step-by-step explanation:
There is the same amount of units from either side of the y-axis to the points.
How can you find the sum of the first 5 consecutive positive integers? You can easily add the numbers mentally—the sum is 15. But what if you want to find the sum of the first n consecutive whole numbers? Keep this question in mind and make some conjectures about a formula.
Answers
Given:
First five consecutive positive integers.
To find:
The sum of the first 5 consecutive positive integers.
Sum of the first n consecutive whole numbers.
Solution:
First five consecutive positive integers are 1, 2, 3, 4 and 5.
Sum of these numbers is
[tex]1+2+3+4+5=15[/tex]
Therefore, the sum of the first 5 consecutive positive integers is 15.
First n consecutive whole numbers are 0, 1, 2, 3,..., (n-1). These numbers are in AP.
Here, first term is 0 and common difference is 1.
Sum of n terms of an AP is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
where, a is first term and d is common difference.
Substitute a=0 and d=1 in the above formula.
[tex]S_n=\dfrac{n}{2}[2(0)+(n-1)(1)][/tex]
[tex]S_n=\dfrac{n}{2}[n-1][/tex]
Sum of first 5 consecutive positive integers is equal to the sum of first 6 consecutive whole number because in whole numbers 0 is extra number.
For n=6,
[tex]S_6=\dfrac{6}{2}[6-1][/tex]
[tex]S_6=3(5)[/tex]
[tex]S_6=15[/tex]
The sum of the first 5 consecutive positive integers is 15.
So, the sum of (n-1) consecutive positive integers is
[tex]S_n=\dfrac{n}{2}[n-1][/tex]
What is the value of the 4 in the number 546210?
Give your answer in words
Answers
Answer:
Ten ThousandsThank you ☺️☺️
Hey I need Help pls...
Select the correct answer.
Which statement is true about the slope of the graphed line?
A.
The slope is negative.
B.
The slope is positive.
C.
The slope is zero.
D.
The slope is undefined.
Answers
Answer:
negative
Step-by-step explanation:it goes down
Answer:
A-the slope is negative
Step-by-step explanation:
right on plato/edmentum
PLEASE HELP ME WITH THIS
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation: (sorry you'll have to graph them on your own)
Number 2:
So if x was this y would be...
x=-3 y=4 (-3,4)
x=0 y=2 (0,2)
x=3 y=0 (3,0)
The solution would be (3,0).
Number 3:
So before we begin we'd have to solve for y by subtracting 1 from both sides to get... [tex]y=3x-1[/tex]
Now we should choose -1, 0, and 1 so now...
x=-1 y=-4 (-3,4)
x=0 y=-1 (0,2)
x=1 y=2 (3,0)
The solution would be (1,2).
if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)
Answers
Answer:
599
Step-by-step explanation:
uh just subtraction
Answer:
599
Step-by-step explanation:
689-90=599
Thats pretty sad...
Write four different equations that have –3 as the solution
Answers
1 + -4
2 + -5
3 + -6
4 + -7
Answer:
5 + -8
6 + -9
7 + -10
8 + -11
Step-by-step explanation:
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answers
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answers
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
Can someone answer this?
Answers
Answer:
y = 1500 + 800x
Step-by-step explanation:
This is the answer because Elisa charges 1500 dollars no matter what. That value is not dependant on anything. Every hour she is with the client is 800 dollars. That is why it is represented as 800x. X being the amount of hours. You add the two together to find how much Elisa's services cost.
Make s the subject of the formula
T^2=2p+as
Answers
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
What is the slope of this graph?
4
−14
−4
14
Answers
Answer:
-4
Step-by-step explanation:
i took the quiz on k12 :)
Help please!!!
Question 6
5 pts
Factor the variable expression:
36X + 8X
0419x-4)
4X (9+2)
9(4X+2x)
8(X+X)
Answers
Answer:
4x (9+2)
Step-by-step explanation:
36x+8x
36 and 8 can be divided by 4 and they both have an x
[tex]36x + 8x = 4x(9 + 2)[/tex]
[tex]44x = 36x + 8 x[/tex]
[tex]44x = 44x[/tex]
The Answer is
[tex] \green {\boxed{4x(9+2)}}[/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?
Answers
Answer: The students can be divided into 7 groups.
Each group will have 3 boys and 8 girls.
Step-by-step explanation:
There are 21 boys and 56 girls.
To divide them so that each group has the same number of both boys and girls.
We find GCD(21,56).
21 = 3 x 7
56 = 2 x 2 x 2 x 7
GCD (21,56) = 7
So, the students can be divided into 7 groups.
Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]
Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]
So, each group will have 3 boys and 8 girls.
Jeremy mixes blue, red, and white paint in the ratio of 3:5:1 to make purple paint. If he uses 24 cups of blue paint, how many total cups of purple paint will he make?
Answers
Answer:
8 cups
Step-by-step explanation:
If it takes 3 blue paint for each purple, the ratio is 3:1
3:1=24:x
x=8
what is the point if (2,0) gets rotated 180° clockwise
Answers
Answer:
The point is (0,-2)
M to the power of 5 n to the power of 3 divided by m to the power of 2 n to the power of -4
please solve fast I will mark the first answer as brainliest and give with step by step explanation
Answers
m^5/m^2 = m^3
n^3/n^-4 = n^7
Answer is (m^3)(n^7)
Write 45 as a product of primes.
Use index notation where appropriate.
Answers
3*3*5=45
Therefore:
3^2 *5 = 45
In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER
Answers
Step-by-step explanation:
Here you go, I tried my best
cheers
The original fraction is [tex]\frac{4}{8}[/tex]
Let the numerator = a
Let the denominator = b
Denominator is 4 larger than the numerator: b = a + 4
2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2
The algebraic equation from the given statement is formed as follows;
[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]
The original fraction is calculated as follows;
[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]
Thus, the original fraction is [tex]\frac{4}{8}[/tex]
Learn more here: https://brainly.com/question/16889590