X = 12
because if you notice, each of the angles have a little arc in the corner, which means they are congruent. if all three angles are congruent, that means each angle is 60° because each triangle has a maximum value of 180°. therefore, this means it is an equilateral triangle.
that being said, each side must be equal as well. so, you can use any two sides to find x by using each one on a different side of an equation, then isolating and solving.
5x - 22 = 3x + 2 = 4x - 10
so
5x - 22 = 3x + 2
3x + 2 = 4x - 10
4x - 10 = 5x - 22
whichever one you solve for, x = 12. and if you plug in that number for x, each side equals the same number = 38
Answer:
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance
=√(x2−x1)2+(y2−y1)2
Substitute the actual values of the points into the distance formula.
√(2−(−3))2+((−6)−(−7))2
Simplify.
Tap for more steps...
√26
The result can be shown in multiple forms.
Exact Form:
√26
Decimal Form:
5.09901951
Answer:
Option (D)
Step-by-step explanation:
Formula to get the area of a regular polygon in a circle will be,
Area = ![n[\frac{1}{2}\times (\text{Base})\times (\text{Height})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7BBase%7D%29%5Ctimes%20%28%5Ctext%7BHeight%7D%29%5D)
= ![n[\frac{1}{2}\times (\text{s})\times (\text{h})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7Bs%7D%29%5Ctimes%20%28%5Ctext%7Bh%7D%29%5D)
Here 'n' is the number of sides.
If n increases, h approaches r so that 'rh' approaches r².
In other words, if the number of sides of the polygon gets increased, area of the polygon approaches the area of the circle.
Therefore, Option (4) will be the answer.
What percent means x/100.
The word "of" means times.
The word "is" means equals.
So we have x/100 · 60 = 15 or 60x/100 = 15.
The rest of the work is attached below, just solve the equation.