Answers
Answer:
The ratio of perimeter of ABCD to perimeter of WXYZ = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First, we have to determine the multiplicative factor of the dimensions for both figures.
Considering sides AB and WX,
multiplicative factor = [tex]\frac{12}{8}[/tex]
= 1.5
So that:
XY = 6 x 1.5 = 9
YZ = 7 x 1.5 = 10.5
ZW = 7 x 1.5 = 10.5
Perimeter of ABCD = 6 + 7 + 7 + 8
= 28
Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12
= 42
The ratio of the perimeters of the two quadrilaterals can be determined as;
ratio = [tex]\frac{perimeter of ABCD}{Perirmeter of WXYZ}[/tex]
= [tex]\frac{28}{42}[/tex]
= [tex]\frac{2}{3}[/tex]
The ratio of the perimeter of ABCD to perimeter of WXYZ is [tex]\frac{2}{3}[/tex].
Related Questions
JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK? With Explanation Please
Answers
Answer:
8.5 inches
Step-by-step explanation:
Let the center of the circle = C
Now CK = CL = 6
Using Pythagoras theorem
LK^2 = CL^2 + CK^2
= 6^2 +6^2
= 36 + 36
= 72
LK = 72 ^1/2
= ( 36*2)^1/2
= 6(2)^1/2
= 8.5 inches
it always tells me i have to put 20 characters but i really need help
Answers
Answer:
B
Step-by-step explanation:
25/100 is 25%.
A shipment of 5 boxes of toys weighed
34.53 pounds. Each box measures the same
weight, so what's the weight of 1 box?
Answers
Answer:
Each box weighs 6.906 pounds.
Step-by-step explanation:
We know the total weight of the boxes. We also know how many boxes we have. To find the weight of one box, we want to divide the total weight by the total number of boxes.
34.53 / 5
= 6.906
Each box weighs 6.906 pounds.
Hope this helps!
The Leungs sold a valuable painting for $55,000. This price is $1,000
more than twice the amount they originally paid for it. How much
did they originally pay?
A. $25,000 B. $27,000 C. $27,500 D. $28,000
Answers
Answer:
B. $27,000
Step-by-step explanation:
So 55,000 = 2x + 1,000
Simply for x
55,000 = 2x + 1,000
54,000 = 2x
x = 27,000
PROVING THEOREMS OF SQUAD can someone help me pleasee ASAP
Answers
Answer:
40 units
Step-by-step explanation:
For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;
m<BOJ = 90 degrees
m<BOJ = 4x - 6
Equating both to get x;
4x - 6 = 90
4x = 90+6
4x = 96
x = 96/4
x = 24
Since all the sides are equal, hence BO = JO = 2x-8
JO = 2x - 8
Substitute x = 24 into JO
JO = 2(24) - 8
JO = 48 - 8
JO = 40
Hence the measure of JO is 40 units
in class of 40 pupils,20% are absent one day. (a) how many pupils are absent?
Answers
Answer: 8 pupils are absent
Step-by-step explanation:
20 percent * 40 =
(20* 40)/100 =
(800)100 =
=8
I need help I don’t really get it
Answers
Answer:
A. 72 cm
Step-by-step explanation:
72 x 2/3 = 48
Answer:
72 cm
Step-by-step explanation:
if the smaller figure is 48 cm and its a 2/3 ratio
lets just say 2x:3x
2x=48 so x would =24
then the larger perimeter would be 3*24 which is 72
How much interest is earned on a principal of $316 invested at an interest rate of 9%
compounded annually for four years?
Answers
Answer:
$130.06
Step-by-step explanation:
Interest is calculated as shown;
I = A - P
A is the amount
P is the principal
Given
Principal = $316
Rate R = 9% = 0.09
Time t = 4yrs
Substiutte and get Amount A
A =P(1+r)^n
A = 316 (1+0.09)^4
A = 316(1.09)^4
A = 316(1.4116)
A = 446.06
Interest = 446.06 - 316
Interest = 130.06
Hence the interest is $130.06
do perpendicular lines intersect at a 60 degree angle?
Answers
Answer:
Perpendicular angles create a 90 degree angle
Step-by-step explanation:
Instructions: Write the equation of the line in Slope-Intercept Form given the information below.
Slope =
-7/4
Y-Intercept = 5
Slope-Intercept Form:
Answers
Answer:-8
Step-by-step explanation:
Answer:
y = -7/4x + 5
Step-by-step explanation:
y = mx + b
y = -7/4x + 5
Use the SIN to find x?
190m
Xm
1. Set Up
2. Operation
3. Answer
52.2
Answers
Answer:
sine=opposite/hypotenuse
sin52.2=x/150
sin0.790=x/150
x=118.5
12% of what number is 1044?
Answers
8,700*
12/100=1044/y Equation
1044 x 100= 104,400 Cross multiply
104,400÷12=8700 Divide quotient by pecentage out of 100 (12)
You would to have $800 saved after 2 years. If you put your money into an account that compounds annually and earns 1.8% annual interest, how much should you put into the account?
Answers
Answer:
$772
Step-by-step explanation:
Set it up as
772(1+0.018)^2
Comes out to $800.04
If you need further explanation tell me in comments
Answer:829
Step-by-step explanation: You would have 829$ because, Of the Number of years for this investment. Hope this helped. If not im sorry!
Yezenia is filling up her outdoor swimming pool to get ready for summer time. She leaves the garden hose running for 1000 minutes in order to fill the pool, which has a volume of 15,460 gallons. What is the approximate rate at which water leaves the garden hose?
Answers
Answer:
15.46 gallons per minutes
Step-by-step explanation:
Garden hose was running for 1000 minutes
Volume of the pool = 15,460 gallons
What is the approximate rate at which water leaves the garden hose?
Rate at which water leaves the garden hose = Volume of the pool / running time of the hose
= 15,460 gallons / 1000 minutes
= 15.46 gallons per minutes
Rate at which water leaves the garden hose = 15.46 gallons per minutes
An ocean liner leaves port at 9:00 a.m. traveling directly out to sea at 22 miles per hour. A ferry leaves port at 9:30
a.m. traveling the same direction at 28 miles per hour. Use this information to complete the sentences.
A pair of parametric equations representing the paths of the boats are
From the time the ocean liner leaves until the ferry overtakes it is minutes at a distance from the port of
approximately miles.
Answers
Answer:
x=22t and y=28(t-0.5)
140
51
Step-by-step explanation:
right on edg
Answer:
A pair of parametric equations representing the paths of the boats are
✔ x = 22t and y = 28(t – 0.5) (Negative 0.5).
From the time the ocean liner leaves until the ferry overtakes it is
✔ 140.
minutes at a distance from the port of approximately
✔ 51 miles.
Step-by-step explanation:
Edge 2022
HELP ASAP I WILL GIVE BRAINLIEST IF I CAN
Answers
Answer: add 3
Step-by-step explanation:
A Susan B. Anthony dollar coin has a diameter of 26.5 millimeters. Round your final answers to the nearest hundredth. Show your steps. 7. What is the radius? 8. What is the circumference? 9. What is the area?
Answers
Answer:
7. 13.25mm
8. 83.25 mm
9. 551.55 mm²
Step-by-step explanation:
The shape of a coin is circular.
A Susan B. Anthony dollar coin has a diameter of 26.5 millimeters. Round your final answers to the nearest hundredth. Show your steps.
7. What is the radius?
The formula for radius = Diameter/2
= 26.5 mm/2
= 13.25 mm
8. What is the circumference?
The formula for the circumference of a circle = 2πr
= 2× π × 13.25mm
= 83.25220532 mm
Approximately to the nearest hundredth = 83.25 mm
9. What is the area?
The formula for the area of a circle = πr²
= π × (13.25mm)²
= 551.54586025 mm²
Approximately to the nearest hundredth = 551.55 mm²
Skip count 89300 forward by 5000
Answers
what is x - (14x-4) + 12 = 6x + 32
Answers
Answer:
x= -16/19
Step-by-step explanation:
x−14x+4+12=6x+32
−13x+16=6x+32
16=6x+32+13x
16=19x+32
16−32=19x
−16=19x
-16/19=x
$297.89 with a 9.5% tax
Answers
Juan compro ayer una tarta y comio 2/5. Hoy ha comido la mitad del resto. Si el trozo restante pesa 300g, cuanto pesaba la tarta?
Answers
Answer:
hello i posted the answer onto 345.tly.com
Step-by-step explanation:
Answer:
1000g
Step-by-step explanation:
2/5 =400g
3/5 = 600g
1/2(3/5) = 300g
400 + 600 = 1000
what steps do i take to prove this? i have a few more
Answers
Answer:
They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.
Step-by-step explanation:
In the standard (x, y) coordinate plane which equation represents a line through the point (6, 1) and perpendicular to the line with the equation =3/2 + 1?
A.) = −3/2 − 8
B. ) = −2/3 − 3
C.) = −2/3 + 1
D.) = −2/3 + 5
E.) = −3/2 + 10
Answers
Answer:
d. -2/3x+5
Step-by-step explanation:
Because the line is perpendicular, the slope must be the inverse of the original slope. The inverse of 3/2 is -2/3. To find the b value, you plug (6,1) into the equation y=-2/3x+b
1=-2/3(6)+b
1=-4+b
5=b
The final equation is y=-2/3x+5
4x + 7 = 23 whats the x?
Answers
Answer:
4x=16
x=4
Step-by-step explanation:
isolate x. first subtract 7 to get 4x=16 then divide by 4 to get your answer
Answer:
16
Step-by-step explanation:
Hope this helps and have a great day!!!!
a youth basketball has a diameter of about 8.75 inches. what is the volume of air, in cubic inches, that can fill the basketball? round your answer to the nearest hundredths place.
answer(s);
1.) 1,052.31 in^3
2.) 350.77 in^3
3.) 240.41 in^3
4.) 2,805.16 in^3
Answers
Answer:
this took hella long to do but it's B
A right rectangular prism has a length of 12 ft, width of 5 1/2 ft, and height of 10 1/2 ft. What is the volume of the prism? Enter the answer in the box.
Answers
Answer: The answer is: 693 ft^3 or 693ft cubed
What is the point-slope form of a line with slope
(-3, 6)?
nun
that contains the point
A. y- 3 = (x+3)
B. y+6 = {(x+3)
O C. y- 6 = - 3(x+ 3)
O D. y-6 = {(x+3)
Answers
Solve the system of equations shown below?
Answers
What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
Answers
Given: What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
To Find: What should be done on both side of equation.
Solution:
Step1 : Add 4.5 both sides so that +4.5 gets eliminated from LHS ,
=> y-4.5+4.5=12.2+4.5
=> y = 16.7
Hence the value of y is 16.7.
To need to solve the equation we need to add 4.5 on both sides and the value of y will be 16.7.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In other words, the equation must be constrained with some constraints.
As per the given equation,
y - 4.5 = 12.2
Add 4.5 on both sides of the equation,
y - 4.5 + 4.5 = 12.2 + 4.5
y = 16.7
Hence "To need to solve the equation we need to add 4.5 on both sides and the value of y will be 16.7".
For more about the equation,
brainly.com/question/10413253
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Question 1 of 5 The Ridgeport school district collected data about class size in the district. The table shows the class sizes for five randomly selected kindergarten and seventh-grade classes. Number of students in randomly selected class Mean Mean absolute deviation Kindergarten 18, 20, 21, 19, 22 20 1.2 27, 32, 33, 33, 35 32 2 Seventh grade Based on these data, which statement is true?
sorry I couldn't fit the answer in it
Answers
Answer:
C is the correct answer
Step-by-step explanation:
Based on the data provided, the correct statement is:
A. The average size of a seventh-grade class is larger and varies more than that of a kindergarten class.
Here's the explanation:
1. Average class size:
The mean (average) class size for kindergarten is given as 20, while for the seventh grade, it is given as 32. Since 32 is greater than 20, we can conclude that the average size of a seventh-grade class is larger than that of a kindergarten class.
2. Variation in class sizes:
The mean absolute deviation (MAD) is provided as 1.2 for kindergarten and 2 for the seventh grade. The MAD measures the average amount by which each data point differs from the mean. A higher MAD indicates greater variability. In this case, the MAD for the seventh grade (2) is higher than that for kindergarten (1.2), indicating that the class sizes in the seventh grade vary more than those in kindergarten.
Therefore, the average size of a seventh-grade class is larger and varies more than that of a kindergarten class.
Learn more about Mean here:
https://brainly.com/question/31101410
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