1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fgiga [73]
3 years ago
7

Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc

hes, what is the area of rectangle WXYZ? Round to the nearest integer.
Mathematics
1 answer:
rodikova [14]3 years ago
8 0

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

Ratio = 10/5

Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

Area = L x W

70 = 10 x W

70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

10/5 = 7/W

10W = 5 x 7

10W = 35

Divide both sides of the equation by 10

W = 3.5

Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

You might be interested in
One way to show that a statement is NOT a good definition is to find a _____
nika2105 [10]
counterexample.

One way to show that a statement is NOT a good definition is to find a counterexample. In description, counterexample is an exception to a “proposed general rule or law”. Philosophically, counterexample somehow generalizes a set of ideas or a notion declared in its position. For example, all colors are white. Therefore it is wrong to say that red, orange, blue or any other “color” is not a color by which the statement declared itself.
Moreover, in mathematics counterexamples are utilized frequently to testify theorems' limitations.    



5 0
3 years ago
Read 2 more answers
I need help ASAP for my homework
bogdanovich [222]

Answer:

slope of line ax + by = c is -a/b

so, slope of 7x +2y =5 is -7/2

3 0
3 years ago
Read 2 more answers
The dimensions of a rectangular garage are 100 times the dimensions of a floor plan of the garage. The area of the floor plan is
ivanzaharov [21]
---------------------------------------------
Scale Factor
---------------------------------------------
floor plan : Garage
1 : 100

---------------------------------------------
Find 1 in²
---------------------------------------------
1in : 100 in
(1 in)² : (100 in)²
1 in² : 10 000 in²

---------------------------------------------
Find 8 in²
---------------------------------------------
1 in²  : 10 000 in²
8 in²  : 80 000 in²

---------------------------------------------
Answer: 80 000 in²
---------------------------------------------
5 0
3 years ago
Mark is baking cookies for a bake sale he needs 2 1/2 Cups of flour for each batch of cookies and he needs to make 4 1/3 Batches
goldenfox [79]
He will need 10/3 cups of flour
8 0
3 years ago
Read 2 more answers
The first term is 1 in the geometric sequence 1, −3, 9, −27, . . . What is the SEVENTH term of the geometric sequence? Select yo
nikitadnepr [17]

Answer:

729

Step-by-step explanation:

The first term is 1 in the geometric sequence 1, −3, 9, −27, . .

First find out the nth term formula for the geometric sequence

a_n=a_1(r)^{n-1}

where a_1 is the first term =1

r is the common ratio,

\frac{-3}{1}=-3

\frac{9}{-3}=-3

\frac{-27}{9}=-3

r=-3, a_1=1

a_n=a_1(r)^{n-1}

a_n=1(-3)^{n-1}

Now find out the seventh term, n=7

a_7=1(-3)^{7-1}=729

3 0
3 years ago
Other questions:
  • A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lb of onions. How many servings can Mark make?
    9·1 answer
  • Chris wants to order DVD’s over the internet.Each dvd cost $15.99 and shipping the entire order costs $9.99.If he can spend no m
    6·2 answers
  • Geoffrey's parents went to a comedy show that started at 8:30 P.M. and lasted 2 hours and 45 minutes. What time did the show end
    14·2 answers
  • A classroom is 26ft wide, 32ft long, and 9ftt high. what is the volume of the room in cubic feet?
    15·2 answers
  • Use the substitution method to solve the system of equations. 3x + y = 10 y = x – 2
    7·1 answer
  • diesel engines use about 1 gallon of fuel per hour for every 18 horsepower used. How many hours can the boat run at 342 horsepow
    14·1 answer
  • At 7 PM, the temperature outside was -5°C. What does |-5| represent in this situation?
    6·1 answer
  • 4) through: (5,1), slope =<br> 5
    7·2 answers
  • The velocity time graph for a cycle is shown
    12·1 answer
  • Given:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!