Answer:

Step-by-step explanation:
Hello There!
The angle labeled 6x is a right angle
If an angle is formed using the diameter of a circle then the opposite angle of that side is a right angle
So 6x = 90
isolate the variable
divide each side by 6
90/6= 15
6x/6=x
we're left with x = 15
2 x (n - 6)
(2 x n - 2 x 6)
(2n - 2 x 6)
2n - 12
Assuming the numbers are exponents expect the coefficient of 2, top expression, -12x^3y^6, multiply bottom
and= 72x^4y^8
Answer:
The angle between these radii must be 120º.
Step-by-step explanation:
According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.
Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:


And the angle between these two radii is twice the result.


The angle between these radii must be 120º.
Answer:

Step-by-step explanation:
![\sf{3[ x + 3(4x - 5)] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%203%284x%20-%205%29%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒![\sf{3[ x + 12x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%2012x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Collect like terms : 12x and x
⇒![\sf{3[ 13x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%2013x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒
Collect like terms
⇒
Calculate
⇒
Divide both sides of the equation by 24
⇒
Calculate
⇒
Hope I helped!
Best regards! :D