We Know, Area of Trapezium = (a+b)/2 * h
Where, a & b are parallel bases & h is height.
Here, we have a = 8, b = 18, h = 5
substitute them into the expression, as follows:
Area = (8+18)/2 * 5
A = 26/2 * 5
A = 13 * 5
A = 65
So, area would be 65 cm²
Hope this helps!
Answer:
30 feet of chain link and 50 feet of rope
Step-by-step explanation:
Let's call the amount of chain link as x and the amount of rope as y. We can write:
x + y = 80 -- Equation 1
2x + 1.5y = 135 -- Equation 2
2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)
0.5y = 25 (Subtract Equation 2 from Equation 3)
y = 50 (Divide by 2)
x + 50 = 80 (Substitute y = 50 into Equation 1)
x = 30 (Subtract 50)
Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Answer:
Hii the correct answer for this question is C
Split it into two equations:
x - 2 = 6
and
-x + 2 = 6
-----------------------------------------------
x - 2 = 6
Add 2 to both sides:
x = 8
-x + 2 = 6
Subtract 2 to both sides:
-x = 4
Multiply -1 to both sides:
x = -4
So x = 8 and x = -4.