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
Anna11 [10]
3 years ago
12

5. Each pair of polygons below are similar. Show your work! Solve for x:

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
You might be interested in
If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4 inches, 4 inches, and 7 inches, would it make a
Yuri [45]

Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.


Step-by-step explanation:

The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

The given sides of the triangle is 4 inches, 4 inches, and 7 inches.

Here,

4+4=8>7\\7+4>4

So by triangle inequality, a triangle with sides   4 inches, 4 inches, and 7 inches. is possible.

Since it has two equal sides as 4 inches , then it must be an isosceles triangle.

3 0
3 years ago
Read 2 more answers
Is 4.498 greater than, or less than 315.71 ??
Anna35 [415]
4.498 is less than 315.71. Imagine having 4 candies or 315 candies. 315 candies is a while lot greater than 4 candies.
8 0
3 years ago
Read 2 more answers
What is the vertical asymptote
faust18 [17]
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of
6 0
2 years ago
Who else is bored? Only answer if your cool though I don't need no "Whats your question?"
Jlenok [28]

Answer:

I was wondering if you could give me brainliest because I am almost to level ace! It would mean alot!

Step-by-step explanation:

Have a good day! :)

6 0
2 years ago
Read 2 more answers
What is the area of a triangle 7.8cm height and 12.8 cm with
elena55 [62]
First: Multiply the measurements.
• 7.8 x 12.8 = 99.84
Second: Divide by 2.
• 99.84/2 = 49.92
4 0
2 years ago
Other questions:
  • Flora has saved $4 less than twice the amount Jason has saved. Together they have $44. How much has each person saved?
    5·1 answer
  • Jackson has 2,000 baseball cards in his collection. Gave has 1/10 as many baseball cards in his collection as jackson. How many
    11·2 answers
  • 12.009 write in word form
    6·1 answer
  • Ray LN is the perpendicular bisector of segment JK.
    9·2 answers
  • What’s the slope of C=50t+100
    8·2 answers
  • Find the H.C.E of 108 and 72.​
    10·2 answers
  • help fast pls .. Find the equation for g(x) by substituting the known point (1, 4) and solving for k.
    13·1 answer
  • Which equation represents a parabola that has a minimum value at y=4
    9·1 answer
  • Solve the inequality. Help appreciated
    9·1 answer
  • An example of two ____________ are 1/8 and 3/4 ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!