A dialation produces a shape that is the same shape but different size. so we draw a new triangle about point B where A'B=2AB
so B and B' are the same and
AB and BC will be parts of the sides. and A' is located on the ray
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30
Answer:
5 units
Step-by-step explanation:
The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.
a^2+b^2=c^2
If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.
Hope this helped! :)
Answer:
y = 3x - 2
General Formulas and Concepts:
Properties of Equality
Step-by-Step Explanation:
Step 1: Define equation
6x - 2y = 4
Step 2: Solve for y
1. Subtract 6x on both sides: -2y = 4 - 6x
2. Divide both sides by -2: y = -2 + 3x
3. Rewrite: y = 3x - 2
