Here is a polygon. The side lengths are: AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.
1. If polygon ABCD is dilated using center A and scale factor LaTeX: \frac{1}{2}1 2, what will be the side lengths of dilated polygon EFGH?
EF= ____, FG= ____, GH= ____, HE= ____
2. If polygon ABCD is dilated using center D and scale factor LaTeX: \frac{1}{3}1 3, what will be the side lengths of dilated polygon IJKL?
IJ= ____, JK= ____, KL= ____, LI= ____
3. How do you know that polygons EFGH and IJKL are similar?
Answer:Given : Polygon side lengths are: AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.
polygon ABCD is dilated using center A and scale factor 1/2
polygon ABCD is dilated using center D and scale factor 1/3
To Find :
side lengths of dilated polygon EFGH
EF= ____, FG= ____, GH= ____, HE=
side lengths of dilated polygon IJKL?
IJ= ____, JK= ____, KL= ____, LI= ____
Solution:
AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.
EF= AB/2 = 18/2 = 9
FG = BC/2 = 12/2 = 6
GH = CD/2 = 6/2 = 3
HI = DA/2 = 24/2 = 12
IJ= AB/3 = 18/3 = 6
JK = BC/3 = 12/3 = 4
KL= CD/3 = 6/3 = 2
LI = DA/3 = 24/3 = 8
polygon EFGH is Dilated from polygon ABCD
Hence polygon EFGH ≈ polygon ABCD
polygon IJKL is Dilated from polygon ABCD
Hence polygon IJKL ≈ polygon ABCD
As polygon ABCD ≈ polygon IJKL & polygon EFGH
=> polygon EFGH ≈ polygon IJKL
Learn More:
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Step-by-step explanation:
Hi I need help with this. I have looked through my notes and it has nothing explaining this. I need you to pls explain.
Answer:
65
Step-by-step explanation:
that's what a calculator said
In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of registered Labrador Retrievers was 6997 more than fifteen times the number of registered Great Danes. How many registered Labrador Retrievers were there?
show your work please
Answer:
154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE
Step-by-step explanation:
Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.
Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES
Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.
The statement:
"Fifteen times the number of registered great Danes " means 15x
and
"6997 more than fifteen times the number of registered great Danes" means 15x + 6997
then as per the given statement:
x = 9860 .
To solve for y;
y = 15x+ 6997
Substitute the value of x we get;
Simplify:
y = 154,897
Therefore, the registered Labrador Retrievers were there are; 154,897
douwdek0 and 16 more users found this answer helpful
please help ill give brainliest for sure to the right answer
Answer:
its c
Step-by-step explanation:
Answer:
the graph to the left and down
Step-by-step explanation:
As we can see, the slope shows as 3, and it is always going to be three, so we can cross out the two graphs on the top. But the graph also shows the y-intercept to be 7, which means that the point that lands on the vertical line will be (0,7). This narrows it down to the graph on the left to the bottom.
What is y=5x+3.... HURRY PLEASE
! ! ! ! ! ! ! !! !! ! ! ! ! ! !! ! ! ! ! !! ! ! !! ! ! !!! ! ! ! !! ! ! ! ! !! !! ! ! ! ! ! !! !!!! !! ! ! !!!!!! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! !! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! !
Answer: what’s this !
Step-by-step explanation:
theres a pic plz hurry
Answer:
x is -0.5
yis-4.5
helppppppppppppppppppppppp
Jakie ate 2/8 of a bag of celery sticks. she shared the rest with Enrigue. list 3 ways they could have shared.
What is the area of the figure below?
Answer:
44 inches
Step-by-step explanation:
1. Multiply 3 times 4, 2 times since there are 2 squares. 24 inches.
2. Multiply 5 times 4. 20 inches.
3. Add 24 + 20= 44
AB is a diameter of a circular pond of radius 140 meters. How much farther does a man go in walking from A to B around the pond than by rowing straight from A to B?
a. 160 m
b. 280 m
c. 300 m
d.600 m
HELP PLEASE ON A TIME LIMIT PLEASE SAVE ME!!
Answer:
30 cubic feet add I don't know but I think it is? add all them 4 times leave out the 1/2 on 2 1/2
I'm sure this is easy and i'm just an idiot.
A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangle
A) Acute
B) obtuse
C) Right
D) It does not make a triangle.
Oml just help. ;-; (There is no picture just the question and choices).
Answer:
B) obtuse
Step-by-step explanation:
Key skills needed: Triangle measure, Triangle Recognition
1) First we need to find the measure of the 3rd angle, and then we can determine what type of triangle it is.
2) The sum of all the interior angles in a triangle add up to 180 degrees. Let's say x is the measure of the 3rd angle.
This means --> [tex]20 + 30 + x = 180[/tex]
20 + 30 is 50, so --> [tex]50+ x = 180[/tex]
Subtract 50 from both sides and you will get x = 130
This means the 3rd angle measures 130 degrees.
3) Now, we have a triangle with a 20 degree angle, a 30 degree angle, and then a 130 degree angle.
An angle with measure with 130 degrees is an obtuse angle
(Keep in mind that an acute angle has a measure less than 90 degrees, a right angle measures 90 degrees, and an obtuse angle has a measure of more than 90 degrees - 130 is more than 90 so it is obtuse)
4) A triangle with 1 obtuse angle is an obtuse triangle, so Choose B) obtuse!!
Hope you understood and have a nice day!! :D
Alan used 27 beads to make friendship bracelets. He used 3 beads on each bracelet. How many bracelets did Alan make?
Answer:
9
Step-by-step explanation:
Hey! can you please do these 5 questions correctly? Thanks and i need answers ASAP :)) (will give 20 points and brainliest)
Answer:
check below
Step-by-step explanation:
1) -13≤a , closed circle, arrow right
2)x≥10 , closed circle, arrow right
3)h<16, open circle, arrow left
4)b>10, open circle, arrow right
5)-1>q , open circle, arrow left
HELP PLS
The equation to find Tony’s is 140+40x
The equation for Mickey’s is 60x
Find out in what month do they both charge the same amount
Distributive property guided notes
Can sombody write me some notes on Distributive property I need them bad ty!!
angie bought 3 1/2 pounds of apples to make a pie. there are 16 ounces in 1 pound how many apples of ounces did she buy explin step by step will give brainlest
Answer:
56 ounces of apples
Step-by-step explanation:
This is because 16 times 3.5/3 1/2 is 56 which equals the total ounces of apples
Answer:
56
Step-by-step explanation:
plz solve this is due tomorrow 8/5 = 2/n
A restaurant chef made 3 3/8 jars of pasta sauce. Each serving of pasta requires 3/8 of a jar of sauce. How many servings of pasta will the chef be able to prepare using the sauce?
What is the value of the expression −9 x 2.2?
Answer:
-19.8
Step-by-step explanation: if correct brainlist?
Answer:
-19.8
Step-by-step explanation:
Please help I don’t know the answer
Answer: i think c
Step-by-step explanation: there haves over the xx-axis
When we find the area, what is the relationship between the base and height of polygons such as parallelograms, triangles, and trapezoids?
A. They are equal to each other.
B. They are parallel.
C. They can't touch each other.
D. They are perpendicular.
Answer:
I am not sure about this question as well as I am also a brainly student however I think it is B)They are parallel.
Step-by-step explanation:
i’ll give brainliest i’m in middle school
help
Calculate the sum. 1.075 + 27.105 *
Choose the equations for which p=1,000 makes the equation true.
Select all that apply.
A.
733.7÷p=7.337
B.
6,510÷p=6.51
C.
0.21÷p=0.0021
D.
47.6÷p=0.0476
E.
6.9÷p=0.0069
3/5n + 1/2 + 1/5 + n =
1/10 - 1/2x - 1/8 =
1/5 - 4 =
Answer:
1. 8n/5+7/10
2. -x/2-1/40
3. -19/5(-3 4/5)
Answer: 3
Step-by-step explanation: Subtract
1 over 5
1
5
− 4 = negative 19 over 5−
19
5
Step 1 of 2: Subtract, sub-step a: Convert integer to fraction.
Convert integer to fraction
4 = 4 over 1
4
1
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
1 over 5
1
5
− 4 over 1
4
1
= ( 1 × 1 ) over ( 5 × 1 )
1 × 1
5 × 1
− ( 4 × 5 ) over ( 1 × 5 )
4 × 5
1 × 5
= 1 over 5
1
5
− 20 over 5
20
5
5 is the least common multiple of denominators 5 and 1. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Subtract.
Subtract
1 over 5
1
5
− 20 over 5
20
5
= ( 1 − 20 ) over 5
1 − 20
5
= negative 19 over 5−
19
5
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
negative 19 over 5−
19
5
= negative 3 and 4 over 5− 3
4
5
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 19 and 5. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
negative 19 over 5−
19
5
= negative 3 and 4 over 5− 3
4
5
19 ÷ 5 = 3 remainder 4
Step 2 of 2: Simplify.
−
19
5
= negative 3 and 4 over 5− 3
4
5
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 19 and 5. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
negative 19 over 5−
19
5
= negative 3 and 4 over 5− 3
4
5
19 ÷ 5 = 3 remainder 4
Solve:
five and two ninths plus one and four sixths equals blank
six and six fifteenths
six and forty eight fifty fourths
four and forty eight fifty fourths
five and six fifteenths
Answer:
six and eight ninths
Step-by-step explanation:
Help please this is math
Answer:
could you explain more plz
Step-by-step explanation:
Someone please help me
Answer: I would say C indefinitley
Step-by-step explanation:
Because If you add by 1.5 to each line it just makes it there. It says Approximate to 59.