22.5 because its counting by 4.5
The coordinates of trapezoid vertices are:
- J(-7,-2);
- K(-4,-2);
- L(-2,-5);
- M(-9,-5).
The translation rule is
(x,y)→(x-2,y+8).
Then the image trapezoid vertices are:
- J'(-7-2,-2+8) that is J'(-9,6);
- K'(-4-2,-2+8) that is K'(-6,6);
- L'(-2-2,-5+8) that is L'(-4,3);
- M'(-9-2,-5+8) that is M'(-11,3)
Answer:

Step-by-step explanation:
In order to solve for this equation we have to note a couple of things.
There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.
The side length of the smaller square (4) is also the hypotenuse of this triangle.
Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.
The Pythagorean Theorem states that
, where a and b are the legs and c is the hypotenuse.
We can substitute 3 in as a and 4 in as c and find b.




So b is
units long.
Hope this helped!
Answer:
x=5
Step-by-step explanation:
x^2+25-10x = x^2-25
-x^2 -x^2
25-10x = -25
-25 -25
-10x = -50
x=5
lets check
(5-5)^2 = 5^2-25
0^2 = 25-25
0 = 0
Answer:

Step-by-step explanation:
An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.
The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.
1. Area of ∆OCD
CotOCD = OD/OC
cot30 = CD/6
√3 = CD/6
CD = 6√3
A= ½bh
A = ½ × 6√3 × 6 = 18√3 in²
2. Area of ∆ABC
A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²
