Answer:40 units
Explanation:
Given:
Perimeter of ∆ABC = 85 units
AC = 4z
AB = 3z + 3
BC = z + 2
Required:
Numerical value of AC
SOLUTION:
Perimeter of ∆ = sum of all its sides
Perimeter of ∆ABC = AC + AB + BC
85 = 4z + (3z + 3) + (z + 2)
Use this equation to find the value of the variable, z
Collect like terms
Subtract 5 from both sides
Divide both sides by 8
AC = 4z
Plug in the value of x
AC = 4(10)
AC = 40 units
rating answer section
Answer rating1.0
(1 vote)
Survey
Did this page answer your question?
Still have questions?
Help others with Mathematics questions
2 minutes ago
First question
The Appalachian Trail is a hiking trail that passes through the Appalachian Mountains. Three members of a teen hiking group hiked a section of the trail. The hikers stopped at a rest area and equally shared 3 4 gallon of water. How much water did each person get?
+5
4 minutes ago
You deposit $2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 15 years?
+5
4 minutes ago
Question #9 Find x 14 19 ľ X 9 S
+5
6 minutes ago
Question #8 Find the measure of the indicated angle. 110° 150° M L N ?XK/60 B
+5
8 minutes ago
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency table below. Use the table to answer the questions. Went Away| Medicine| Placebo Remained|. 120. |. 68 18. | 44 Your answers should be exact numerical values. There were participants whose headache remained. The probability of randomly selecting an individual whose headache remained is There were participants whose headache remained and took a placebo. The probability of randomly selecting an individual whose headache remained and took a placebo is