Answer:
11
Step-by-step explanation:
Given two expressions involving the same unknown number, you want to find the number.
<h3>Setup</h3>
3(x +4) . . . . three times the sum of a number and 4
6x -21 . . . . 21 less than the number times 6
These two expressions have the same value, so we can write the equation ...
3(x +4) = 6x -21
<h3>Solution</h3>
Eliminating parentheses, we have ...
3x +12 = 6x -21
33 = 3x . . . . . . . . add 21-3x
11 = x . . . . . . . . . divide by 3
The number is 11.
Since you have two angles that measure 45 degrees. Those 2 equal 90 degrees altogether. Since a triangle measures 180 degrees, you take 180-90 because you already have 2 angles and are trying to find the last one. Then this makes the last angle 90 degrees.
Answer:
°
Step-by-step explanation:
Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is °.
Now, with all of this information, we can set up the following equation and solve for :
(Simplify LHS by combining like terms)
(Subtract from both sides of the equation to isolate )
(Simplify)
(Divide both sides of the equation by to get rid of 's coefficient)
° (Simplify)
Hope this helps!
Step-by-step explanation:
In a GP, there is a common ratio between the terms.
8 / (-16/5) = 8 * (-5/16) = -2.5
-20 / 8 = -2.5
We can see that every new term is -2.5 times bigger than the previous term.
Hence to find the next term,
we multiply -20 by -2.5:
(-20)(-2.5) = 50.
Hence 50 should go into the box.