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
erma4kov [3.2K]
3 years ago
7

Joanna plans on hanging 3 pictures of different sizes on the wall of her staircase. She thinks it will look best if all 3 rectan

gular pictures are similar. The two sizes she has already are 25 in. by 35 in.and 35 in. by 49 in. Which of the following is a possible size of the third picture?
A.
5 in. by 6 in.
B.
30 in. by 42 in.
C.
45 in. by 70 in.
D.
50 in. by 63 in.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0
In similar figures, the ratio between corresponding sides are the same.

\frac{25}{35}=\frac{35}{49}

Simplify the two to see that they are equal.
The top and bottom of the left fraction are divisible by 5.
The top and bottom of the right fraction are divisible by 7.

\frac{5}7=\frac{5}7

Of course, the dimensions of that third picture would have to be this fraction.
Let's test these answers.

\frac{5}6\neq\frac{5}7 ⇒ A is not a solution

\frac{30}{42}=\frac{5}7 ⇒ B is the solution
(divide the top and bottom by 6)
You might be interested in
Paul's car is 18 feet Long he is making a model of his car that is 1/8 the actual size what is the length of the model
sweet [91]
The answer is... 2 1/4 feet long
6 0
2 years ago
27 (x2+8x+16) / 3 (x2+6x+8) simplify
Karolina [17]

Answer:

9x4+126x3+648x2+1440x+1152


Step by step:

27(x^2+8x+16) / 3 (x^2+6x+8)

(27(x^2+8x+16) / 3) (x^2+6x+8)

(27(x^2+8x+16) / 3) (x^2) +(27(x2+8x+16) / 3) (6x)+(27(x2+8x+16)/3) (8)

9x4+72x^3+144x^2+54x^3+432x^2+864x+72x^2+576x+1152


9x4+126x3+648x2+1440x+1152


3 0
3 years ago
Solve for all values of x in simplest form. 9-4|3+5x|=5
Zinaida [17]

Answer:

x=-2/5\text{ or } x=-4/5

Step-by-step explanation:

So we have the equation:

9-4|3+5x|=5

First, subtract 9 from both sides:

-4|3+5x|=-4

Divide both sides by -4:

|3+5x|=1

Definition of Absolute Value:

3+5x=1\text{ or } 3+5x=-1

Subtract 3 from both sides:

5x=-2\text{ or } 5x=-4

Divide both sides by 5:

x=-2/5\text{ or } x=-4/5

And we're done!

5 0
3 years ago
Read 2 more answers
HELP! The total cost for the soil was $14. How much did it cost per square metre?
lakkis [162]

Answer:

Rate = $2.08

Step-by-step explanation:

Area × rate = cost

rate = cost / area

= 14/6.52

= $2.08

8 0
3 years ago
What is 6 minus 4 over seven
aalyn [17]
5 3/7 .. do you need to show your work?
8 0
2 years ago
Other questions:
  • Line A and Line B are parallel lines cut by transversals x and y. If 2 = 57 and 3 = 85, find the measure of 5
    5·1 answer
  • 2x - 1y = 6<br> -3y = -6x + 18<br><br> please explain how you got the answer, thank you :)
    14·1 answer
  • The summer olympics occur every four years. if the last summer olympics happened in 2008, when are the next three times that it
    9·1 answer
  • The equations are written in point-slope form. Which equation represents a line through points (-8, 3) and (2, -3)?
    9·1 answer
  • Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=4, u′(0)=7, v(0)=2 and v′(0)=1. Find the values
    13·1 answer
  • PLSSSSS HELPPPPP ASAPPPP
    5·2 answers
  • Please help meeee with this question<br>​
    7·2 answers
  • Write an algebraic equation to represent the situation
    7·1 answer
  • the question is in the attachment. i know its not A because these angles are not opposite of each other.
    6·1 answer
  • a university department administers a survey regardring student satisfaction based on the survey results the department provides
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!