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
Ostrovityanka [42]
3 years ago
12

If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x –

24, what is the value of x? Show equations and all work that leads to your answer.
Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.

The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.

i.e,

Length of the midsegment = (1/2) *(Length of base1 + Length of base2)

6x - 24 = (1/2) * (5 + 2x + 7)

12x - 48 = 2x + 12

10x = 60

x=6

∴ x = 6

You might be interested in
The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620
nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

= 1.69x - 0.9x - 6200

= 0.79x - 6200

8 0
3 years ago
Formulate a rational algebraic equation of the problem​
liubo4ka [24]

Answer:

comment the question I will try to solve it.....

5 0
2 years ago
Sammie and Joel invest their money with the Grabitall Bank.
AlekseyPX
a) Sammie earns
  £320×4% = £12.80
each year.

Joel earns
  £420×3% = £12.60
each year.

Sammie earns the most interest.

b)
Joel's interest after 5 years is
  £12.60×5 = £63
so the total amount of money Joel will have is
  £420 +63 = £483
5 0
3 years ago
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations
labwork [276]

Step-by-step explanation:

A. this is a geometric sequence.

according to y-coordinates =>

3, 6, 12, 24

have a T1 = 3 and ratio = 6/3 = 2

B. the formula = Tn = r. T(n-1)

T5 = 2. T4

= 2. 24 = 48 minutes

C. the formula : Tn = T1 . r^(n-1)

T9 = 3. 2^(9-1)

= 3. 2^8

= 3. 256

= 768 munutes

6 0
2 years ago
This property says you can rewrite 3x(4+5) as (3x4) + (3x5)
daser333 [38]
Distributive property
Step-by-step explanation:
Distributive property says that x(y + z) = (x*y) + (x *z)
6 0
3 years ago
Other questions:
  • Alim buys 2 T-shirt for $ 9.50 each, a 3 pack of socks for $ 7.95, and a pair of shoes for $ 49.95 . The sales tax is $6 percent
    6·1 answer
  • Harry has half as many comics
    7·1 answer
  • This year Jack will be 2 years from being twice as old as your sister Jen. The sum of Jack's age and three times Jen's age is 66
    5·1 answer
  • Which of the following statements correctly uses the distributive property?
    11·2 answers
  • Which graph represents the function y=3x^2+12x-6
    6·2 answers
  • Question 19 of 25 -
    7·1 answer
  • PLZZ HELP ASAP MEH DUDES
    5·2 answers
  • What number solves the equation x – 21 = 43
    7·2 answers
  • Rain fell at the steady rate of 2 inches every 3 hours.
    9·2 answers
  • What is the place value of the underlined digit?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!