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
Tanya [424]
3 years ago
15

NEED HELP ASAP!!!!!!!!!!!

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

a.  \frac{x + 3}{21}=\frac{x + 1}{15}

b. x = 4 (see steps below)

Step-by-step explanation:

Since the two polygons are similar, the sides are proportional to each other.  Using a proportion, you can solve for 'x' using cross-multiplication and division:

\frac{smaller}{larger}=\frac{x + 3}{21}=\frac{x + 1}{15}

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute:  15x + 45 = 21x + 21

Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21

Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4

You might be interested in
How to evaluate 7+2(3+2)
lilavasa [31]
7+2(3+2)
7+2(5)
9(5)=
45
5 0
3 years ago
Read 2 more answers
In this particular arithmetic sequence, a8 = 28 and a16 = 108. What is the value of a24?
kap26 [50]
In this sequence d=10. Therefore, a24=188.
5 0
3 years ago
Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
What is 2,871,000,000 in scientific notation
Nimfa-mama [501]

Answer:

2.871*10^9

Step-by-step explanation:

add a decimal point at the end of the number ( 2,871,000,000.) then count how many places it takes to move the decimal point between the first and second number (2.8) then write the rest of the numbers higher than "0" after, giving you the 2.871

to show that the number written is in scientific notation you add 10 to the power of the amount of times you moved the decimal place. In this case, because the decimal point was moved a total of 9 times, it would be 10 to the 9th power (10^9).

3 0
2 years ago
Read 2 more answers
Which type of graph shows data points plotted and connected by line segments?
faust18 [17]

Answer:

D. a line graph

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • I'm stuck on this question, any ideas? thanks
    11·2 answers
  • Diana invested $3000 in a savings account for 3 years. she earned $450 in interest over that time period. what interest rate did
    7·1 answer
  • (4×5)x+ 3x + 2<br>Answer here​
    11·1 answer
  • The sum of two numbers is 342. One of the numbers is 252. What is the other number?
    10·2 answers
  • What is the area of 1/4 of a circle with a radius of 10
    12·1 answer
  • What number has the prime factorazation3x3x5x5x11?
    10·1 answer
  • Convert the following fraction to a decimal: 21/35
    8·2 answers
  • Here's a graph of a linear function. Write the
    6·1 answer
  • 1.3
    15·1 answer
  • Thanks for any help. i’ll give 5 stars and thanks.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!