Answer:
23+7-2x=8x
We simplify the equation to the form, which is simple to understand
23+7-2x=8x
We move all terms containing x to the left and all other terms to the right.
-2x-8x=-23-7
We simplify left and right side of the equation.
-10x=-30
We divide both sides of the equation by -10 to get x.
x=3
Step-by-step explanation:
2000 is 1000 times larger than 2
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
Step 1
Find the area of one equilateral triangle
Applying the law of sines
in this problem
a=b=7 cm
C=60 degrees
so
cm²
Step 2
To calculate the area of the hexagon multiply the area of one equilateral triangle by 
![Area Hexagon=6*[49*\frac{\sqrt{3}}{4}] \\ Area Hexagon=73.5*\sqrt{3}](https://tex.z-dn.net/?f=%20Area%20Hexagon%3D6%2A%5B49%2A%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%5D%20%20%5C%5C%20Area%20Hexagon%3D73.5%2A%5Csqrt%7B3%7D%20%20)
cm²
therefore
the answer is the option
73.5 sqrt 3cm²
