Answer:
x = 7
Step-by-step explanation:
The proportion is
14/6 = 21/(3x - 12) Cross Multiply
14*(3x - 12) = 6*21 Remove the brackets and combine
42x - 168 = 126 Add 168 to both sides
42x = 126 + 168
42x = 294 Divide by 42
x = 294/42
x = 7
Answer:
or 
Step-by-step explanation:
You need to complete the square before you can take the square root of both sides.

Subtract 10 from both sides.

To complete the square, you need to add the square of half of the x-term coefficient to both sides.
The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.



Now we use the square root property, if
, then



or
or 
or 
Answer:
An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
Given: MN is angle bisector,
then
....... [1]
Congruent angles are two or more angles that have the same measure.
then;
by definition of congruent angles
[1]⇒
......[2]
By the Angle addition postulates states that if M is in the interior of ∠JMK then,
......[3]
Now, by substitution property ; substitute the equation [2] in [3] we get;
......[4]
Like terms terms whose variables are the same
Combine like terms in equation [4] we get
......[5]
Division property of equality states that you divide the same number to both sides of an equation.
Divide by 2 to both sides in equation [5] , we get
For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
y = 5 + 2x
5 is given as the y-intercept because of the initial condition.