Rectangle ABCD is similar to Rectangle WXYZ. Tell whether the statement is true or false.
Area of ABCD (CD) power
———————- = (—-)of
Area of WXYZ. (YZ)two
Answers
Answer:
The statement is; True
Step-by-step explanation:
From the question, we have;
Rectangle ABCD is similar to Rectangle WXYZ
Therefore, rectangle ABCD can be obtained from rectangle WXYZ by multiplying by a scale factor given by the ratio of the corresponding sides of the two rectangles
Whereby side CD of rectangle ABCD is the corresponding side to side YZ of the rectangle WXYZ, we have;
The scale factor to obtain ABCD from WXYZ = CD/YZ
The scale factor for area is obtained by raising the scale factor of length to the power of 2
Therefore, the scale factor to obtain the area of rectangle ABCD from the rectangle WXYZ = (CD/YZ)²
∴ Area of ABCD = Area of WXYZ × (CD/YZ)²
From which we have;
(Area of ABCD)/(Area of WXYZ) = (CD/YZ)²
Therefore, the statement is true
Related Questions
Find f(5) for f(x)=1/4 (2)^x
Answers
f(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8
answer
A. 8
Help plz!
The Corresponding Angles Conjecture states that if two
parallel lines are cut by a transversal, the corresponding
angles are congruent. The picture below shows this
relationship
Answers
Answer:
B
Step-by-step explanation:
Corresponding angles form a sideways U when you connect the angles.
b is the only one that does that.
1 and 4 are consecutive angles.
1 and 3 are vertical angles
4 and 3 are linear pair angles.
Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the actual garden, the width of the garden is 36 inches. What is the width of the actual garden?
Answers
Answer:
720 inches
Step-by-step explanation:
On her blueprint, which is 1/20 the size of the actual garden
the width of the garden is 36 inches.
What is the width of the actual garden?
Let width of the actual garden = x
1/20 of x = 36
1/20 * x = 36
x = 36 ÷ 1/20
x = 36 * 20/1
x = 720
x = 720 inches
The width of the actual garden = 720 inches
find the surface area of the triangular prism
Answers
Answer:
608 ft²
Step-by-step explanation:
1) Find the area of the bases
[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height
Plug in b and h
[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
2) Find the area of the two sides facing up
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=10*16\\A=160[/tex]
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
3) Find the area of the bottom side
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=12*16\\A=192[/tex]
Therefore, the area of this side is 192 ft².
4) Add all the areas together
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer:
608
Step-by-step explanation:
first off you have to find the area of the base
the base is 16 by 12 feet.
so you multiply them and you get
16*12=192 you will have to come back later for this number
next, you find the two outsides of the triangular prism.
they are 10 by 16
10*16=160 and there are two of them so you double it and get 320
now save the 320 too with the 192
now we are going to find the triangles
the formula for an area of a triangle is A=1/2h*w
so we plug in the height which is 8 and the width which is 12
A=1/2(8)*(12)
Simplify
A=48 once again there are two of them so we double it to make it 96
now take all your saved numbers and add them all up
96+320+192
this should give you an answer of 608
hope this helps! have a nice day:)
Help! I'll give brainlyest!!!!!! FAST!!!!
Answers
(Help pls) When ayden mom drives to the gas station is the level in her gas tank increasing,decreasing,constant.
Answers
Answer:
Decreasing
Step-by-step explanation:
It is decreasing because it is being used.
Have a good day!!
someone plzz help me i don't know if its right I'm lost out of time
Answers
Answer:
12. 30
13. 3
Step-by-step explanation:
Will give, Branliest.
Answers
Best luck with your studying
Camden is deciding between two parking garages. Garage A charges an initial fee of
$12 to park plus $4 per hour. Garage B charges an initial fee of $8 to park plus $5 per
hour. Let A represent the amount Garage A would charge if Camden parks for t
hours, and let B represent the amount Garage B would charge if Camden parks for t
hours. Write an equation for each situation, in terms of t, and determine the hours
parked, t, that would make the cost of each garage the same.
Answers
Answer:
4 hours
Step-by-step explanation:
A = 12 + 4t
B = 8 + 5t
12 + 4t = 8 + 5t
t = 4
The cost of each garage would be the same when Camden parked the car for 4 hours
What is X equal to in this problem?
Answers
Answer: X=80
Step-by-step explanation:
Know that all angles COMBINED in a triangle is 180, so we can use the two angles to setup the equation for the last one, since the total angle must be 180 then x added to those angles must add up to 180.so we get the equation x+59+41=180.x+100=180, subtract 100 from both sides to isolate x.x=80.A Y U D E N P O R F A :(
Answers
Answer:
x=2
Step-by-step explanation:
Primero, necesitamos calcular <<a>>
Sabemos que AD=BC y AB=CD porque lados opuestos congruentes
Entonces, vamos a calcular <<a>>.
Usamos AD y BC
2a-1=4a-15
suma 15 a ambos lados
2a+14=4
añada 2 en ambos lados
14=2a
divida
7=a
Ahora, usamos esta información para calcular <<x>>
Usamos CD=AB
2a-8=4x-2
pero sabemos que <<a>> es 7
entonces:
14-8=4x-2
6=4x-2
8=4x
2=x
<<x>> es 2
(¡lo siento mi español no es perfecto!
Will mark brainliest and give thirteen points explanation
Answers
Answer:
geyser =groundwater
glacier = freshwater
lake=freshwater
ocean=salt water
Step-by-step explanation:
In a exam 90% students passed.if 15 students failed,find the number of students appeared in the examination?
Answers
Answer:
150
Step-by-step explanation:
10%=15
100%=150
15 x 10=150
to check find 90% of 150 which is 135
150-135=15
If a =3, b = 2 and c = 5, solve the following algebraic expressions: (3 marks)
a) 3c + 5 - b
b) b(4 - 2) + c
c) 4a - (2c)
Answers
Answer:
A) 18
B)9
C)-2
Step-by-step explanation:
Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.
SnackTime Foods produced 24,200,000 grams of popcorn last year, which was placed in 11-
gram bags. How many bags did the company fill?
bags
Hurry and plsssss
Answers
Answer:
2,200,000 :) give brainliest
Step-by-step explanation:
Which of the following units are units of volume? Select all that apply.
Answers
Answer:
we have these we ml and l
Step-by-step explanation:
Here, we want to select the units of volume ;
1. mg
This is a measure of mass and in fact it is called milligrams
2. mm
This is called millimeters and in fact is a measure of distance
3. cm
This is centimeters and it is a measure of distance too
4. ml
Milliliters, this is a measure of volume
5. m
meters;
this is a measure of distance
6. g
grammes
This is a measure of mass
7. l
This is liters
It is actually a measure of volume
8. km
this is kilometers, it is a measure of distance
You spend $20 to buy supplies for making milky tea, and plan on selling every cup of
milky tea for $1. Write an inequality to find the minimum number of cups of milky tea
you have to sell in order to make a profit.
Answers
Answer:
21 savage
Step-by-step explanation:
I need help with number 9 please show work how to get the answer.
Answers
Answer:
Option B
Step-by-step explanation:
Let 'x' represents the number of miles traveled and 'y' represents the total cost of of the taxi ride.
Cost of ride with a rate of $2.25 per mile = $2.25x
Since, service charge of the taxi = $3 for first mile
Total cost of the ride = 2.25x + 3
Equation for the cost of the ride will be,
y = 2.25x + 3
Since, farthest distance that the taxi can travel = 35 miles
That means value of x may vary between x = 0 to x = 35 (including x = 25)
Therefore, domain for the situation will be,
0 < x ≤ 35
Option B will be the answer.
how do i solve 6y = 3
Answers
Answer:
y=1/2
Step-by-step explanation:
how 2 do?
(n)(n+7)(n+8)
Answers
Answer:
[tex]n^{3} + 15n^{2} + 56n[/tex]
Step-by-step explanation:
First FOIL (n + 7)(n + 8) and then distribute n
(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]
n ([tex]n^{2} +15n + 56[/tex])
= [tex]n^{3} + 15n^{2} + 56n[/tex]
Does anyone know this ? Thank you
Answers
Answer:
36
Step-by-step explanation:
angle ACB = 180-130=50 degree
angle ABC = 180 - (94+50)
= 180-144
= 36
A circle has a secant AC and a tangent AD that intersect outside of the circle. If the
measure of ZA is 29° and the measure of BD is 43°, then determine the measure of
CD.
Answers
Answer:
CD = 101°
Step-by-step explanation:
The secant- tangent angle DAB is hlf the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (CD - BD ) = 29° ( multiply both sides by 2 )
CD - BD = 58°, that is
CD - 43° = 58° ( add 43° to both sides )
CD = 101°
WHat is the answer to number 2
Answers
Answer:
My best guess C im pretty sure.
5. Beverly is serving hamburgers and hot dogs at her
cookout. Hamburger meat costs $3 per pound, and hot
dogs cost $2 per pound. She wants to spend no more than
$30.
a. Write an inequality to describe the situation.
b. Graph the solutions on a coordinate plane.
C. Give two combinations of pounds of hamburger and
hot dogs that Beverly can buy.
Answers
Answer:
Hamburger meat
Cost = $2 per poundVolume = x poundsTotal cost = 2xHot dogs
Cost = $3 per poundVolume = y poundsTotal cost = 3yBudget = $30a) Inequality:
2x + 3y ≤ 30b) The graph is attached
c) Combinations are reflected on the graph
what is the product of 3/7 and 3/8?
Answers
Answer:
9/56
Step-by-step explanation:
..................
i don’t understand how to do this and i need help!!
Answers
Answer:
x = 26
Step-by-step explanation:
6x + 6x + (x-2) + (x-2) = 360
14x - 4 = 360
14x = 364
x = 26
6(26) = 156
(26 - 2) = 24
The cost of the circular carpet, $C, varies as the square of the radius,
r metres. If C = 200 when r= 2
Find the cost of the circular carpet when r= 3
Answers
Answer:
$450
Step-by-step explanation:
C = k[tex]r^{2}[/tex]
200 = k([tex]2^{2}[/tex]) = 4k
k = 50
C = 50[tex]r^{2}[/tex] = 50([tex]3^{2}[/tex]) = 50(9) = $450
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y = -23x^2 + 1317x - 10749
Answers
Answer:
Step-by-step explanation:
y=-23x^2+1317x-10749
dy/dx=-64x+1317, d2y/d2x=-64, since d2y=-65, a global max occurs when dy/dx=0
-64x+1317=0, x=1317/64=20.578125
y(20.578125)=$6612.83
Answer: 8104
Step-by-step explanation: DeltaMath
I need help but like now
Answers
Answer:
$65.00
Step-by-step explanation:
$60 +$ _ = $125.00
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=53°, and QR = 17 feet. Find the length of PQ to the nearest tenth of a foot.
Answers
Answer:
21.2863≈21.3 feet
Step-by-step explanation:
Answer:
21.3
Step-by-step explanation: