Answer:
1.ABC is equilateral triangle because all sides are equal
3.because they are the joined figure of a triangle
Answer:
Resultant vector of two vectors is (0, 0).
Step-by-step explanation:
in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.
We can represent these vectors in the form of

and 
Now the resultant of these vectors will be = A + A'
A + A' =
+ 
So the resultant vector = (0 + 0)
Therefore the resultant will be (0, 0)
Well 3/8 is .375 but times 100 is 37.5%
Then 37.5% of 800 is 300
You only need to solve one part of the problem, because the second problem is the exact same as the first, so you would do 53 x 6= 318, and 6 x 53 also equals 318
Answer:
x = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
- Combine like terms: -4.5x + 72 = -7.5x + 42
- Add 7.5x on both sides: 3x + 72 = 42
- Subtract 72 on both sides: 3x = -30
- Divide 3 on both sides: x = -10
<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>: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
- Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
- Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
- Add: 4.5(18) + 36 = 102 - 2.5(-6)
- Multiply: 81 + 36 = 102 + 15
- Add: 117 = 117
Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.