answer.
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
Kisachek [45]
2 years ago
5

Given the median 24 and trapezoid MNOP what is the value of x

Mathematics
2 answers:
masha68 [24]2 years ago
8 0
1. Given the bases a and b of a trapezoid, the length of the median m can be found by the formula m= \frac{a+b}{2}

2. MP and NO are the bases so applying the above formula: 

24= \frac{(x+8)+(5x+4)}{2}

48= 6x+12

6x=36

x=6

Check the picture for the proof of the theorem m=(a+b)/2

never [62]2 years ago
7 0

Question 4 of 10

Multiple Choice: Please select the best answer and click "submit."

Given the median and trapezoid MNOP, what is the value of x?

Answer: 6

A. 6

B. 18

C. 2

D. 5

E. 7

F. Cannot be determined

Feedback

Correct!

Click Next to Continue

You might be interested in
James has established the following monthly budget for himself: Rent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8090 [49]

Answer:

James's monthly income is $1250.

Step-by-step explanation:

If the budget accounts for James's entire monthly income, the sum of the cost of all the items on the budget is his total monthly income.

Income = 300 + 175 + 125 + 200 + 250 + 50 + 25 + 125 = $1250

6 0
2 years ago
Read 2 more answers
30 PTS!!!!! Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day. Cole plans to eat multiple ba
ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3​ bananas each day. These 3 bananas contain 3\cdot 0.3=0.9 mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4​ mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

0.9+4x\ mg

Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day, so

11\le 0.9+4x\le 22

Solve it:

11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3​ bananas each day. He pays \$2\cdot 7=\$14 for bananas per week.

If Cole spends a total of $20​ on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10​ vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2​ additional vitamins he purchases) and they cost

\$0.50(x-10)

This amount of money is exactly $6, so

0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on  answer in Part A.

5 0
2 years ago
Read 2 more answers
What adds to negative 8 and multiplies to negative 10
butalik [34]
My answer is positive 80
8 0
2 years ago
For the members of a book group, the probability of randomly selecting a member who likes to read historical fiction is 47%, the
umka2103 [35]

Answer:

75%

Step-by-step explanation:

8 0
2 years ago
At a desert resort, the temperature at 7 a.m. was 3°C. The temperature increased by an average of 3.4°C each hour until it reach
11Alexandr11 [23.1K]

Answer: It will take 8 hours to reach this temperature.

Step-by-step explanation:

Given: At a desert resort, the temperature at 7 a.m. was 3°C.

The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.

Let x be the number of hours taken to reach 30.2°C..

As per given ,

Initial temperature +(average increase in temperature) (Number of hours) = 30.2

⇒3+3.4x=30.2

⇒3.4x=30.2-3

⇒3.4x=27.2

⇒ x=8    [Divide both sides by 3.4]

Hence, it will take 8 hours to reach this temperature.

6 0
1 year ago
Other questions:
  • A group of 7 campers has four hours to hike to a lighthouse and back before sundown. The lighthouse is 28 m high. It is located
    9·1 answer
  • Find the finance charge in dollars for the following problem. Choose the right answers.
    6·2 answers
  • you buy 6 notebooks, 10 folders, 1 pack of pencils, and 1 lunch box for school. after using a $10 gift card, how much do you owe
    11·1 answer
  • Which binomial is a factor of x4 − 4x2 − 4x 8?
    5·1 answer
  • A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer
    7·1 answer
  • Simplify: (-4a + b – 2c) – (3a + 2b –c)
    7·2 answers
  • Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound. He blends Ground Chicory at $4.40 a
    6·2 answers
  • Which of the following terms correctly describe the figure given below?
    12·2 answers
  • Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
    14·2 answers
  • Company B loses $1575 for every employee who quits before 90 days. What is the total amount the company will lose if 2 employees
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!