Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.
Q1: 14
Q3: 37
Interquartile: 37-14 = 23
THE ANSWER IS 23
(Brainliest please?)
Answer: See explanation
Step-by-step explanation:
Let the number of hamburger he ate on Monday be represented by x.
Monday = x
Tuesday = 0
Wednesday = x + 4
Thursday = 0
Friday = 3(x + 4)
Total hamburgers ate = 26
To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:
= x + 0 + x + 4 + 0 + 3(x+4) = 26
2x + 4 + 3x + 12 = 26
5x + 16 = 26
5x = 26 - 16
5x = 10
x = 10/5
x = 2
Monday = x = 2 hamburgers
Tuesday = 0
Wednesday = x + 4 = 2 + 4 = 6 hamburgers
Thursday = 0
Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers
Expand
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10