Answer:
x=21
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x+2+52 = 180
6x+54= 180
Subtract 54 from each side
6x+54-54 = 180-54
6x= 126
Divide by 6
6x/6 =126/6
x = 21
When written in the 
form, the slope of a line is given by the coefficient 
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope of a line and one of its points 
, the equation of the line can be derived from the following formula:
Which in your case becomes
Expand the right hand side and solve for y:
Given a right angle triangle
The length of the legs are 4 and 7
we will find the hypotenuse using the Pythagorean theorem
So,
![\begin{gathered} h^2=7^2+4^2=49+16=65 \\ h=\sqrt[]{65}\approx8.062 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D7%5E2%2B4%5E2%3D49%2B16%3D65%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B65%7D%5Capprox8.062%20%5Cend%7Bgathered%7D)
Rounding to the nearest tenth
So, the answer is the length of the third side = 8.1
Answer:
38 + 14 = 52
52 x 16 = 832
832 divided by 2 = 416
Formula of a trapezoid:
B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)
Answer:
B. 523.33 cubic units
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) 5^3
V =523.3333333
V = 523.33 units^3
