Answer:
x=0, y=3
x=5, y= 2
Step-by-step explanation:
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
<h3>
Congruent shape</h3>
Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: brainly.com/question/11329400
Answer:
<em>The order of subtraction is not important in any of the coordinates</em>
Step-by-step explanation:
Distance Between Two Points
Given two points (x1,y2) (x2,y2), the distance between them is given by the formula
The difference between both coordinates is squared, then added, and finally extracted the square root.
Based on the principle that
and also
We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as
As seen, it applies for both coordinates
Answer:
factor:
x^2+2x+2x+4
x(x+2)+2(x+2)
(x+2)(x+2)
100x^2+20x+1
100x^2+10x+(10x+1)
10(10x+1)+(10x+1)
(10x+1)(10x+1)=(x+2)(x+2)
Hope this helps you
Answer:
366.5cm³
Step-by-step explanation:
1. Determine the height and radius of cone.
2. Using the formula for the volume of a cone input where there is an h and r.
3.Where it says Area of base, it is talking about the circular base and that you need to find its area. (π×r²), you already have the radius so you put it in the formula and solve (π×5²)
4. Once you have the area of the base you can now completely solve. Multiply ⅓×(78.54)×14