Answer:
Pythagorean Theorem: c2 = a2 + b2
Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh
Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2
Answer:
Okapi 290 kg
Llama 160 kg
Step-by-step explanation:
Let weight of each llama be 
Let weight of each okapi be 
<em>Given, combined weight of 1 okapi and 1 llama is 450, we can write:</em>
<em>
</em>
<em>Also, average weight of 3 llama is 190 more than the average weight of 1 okapi, thus we can write:</em>
<em>
</em>
Now, substituting 2nd equation into 1st equation, we can solve for weight of 1 llama:
Each llama weights 160 kg, now using this and plugging into 2nd equation, we get weight of 1 okapi to be:
Each okapi weigh 290 kg
Keep Change Flip!!!
Keep: the first fraction 5 or 5/1
Change: Division sign to multiplication sign
Flip (reciprocal): the second fraction
So you get 5/1*9/2= 45/2 which simplified to 22 1/2
Answer:
x = 3
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 Equation</u>
4x + 9 = 2x + 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2x on both sides: 2x + 9 = 15
- Subtract 9 on both sides: 2x = 6
- Divide 2 on both sides: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4(3) + 9 = 2(3) + 15
- Multiply: 12 + 9 = 6 + 15
- Add: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
Answer:
2 , 3
Step-by-step explanation:
