Answer:
70
Step-by-step explanation:
56+25%=70 (:
Answer:
x+ x+1 + x+2 = 30
3x+3 =30
Step-by-step explanation:
Let x be the smallest integer
x+1 be the next smallest
x+2 be the third
x+ x+1 + x+2 = 30
Combine like terms
3x+3 =30
Answer: -3
Step-by-step explanation:
The common ratio of the geometric sequence –4, 12, -36,... is -3.
12/(-4) =-3
-36/(12) = -3
They both multiply -3 for the next number.
Answer:
162, 163, and 164.
Step-by-step explanation:
Here we will use algebra to find three consecutive integers whose sum is 489. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 489. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 489
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 489
3X + 3 = 489
3X + 3 - 3 = 489 - 3
3X = 486
3X/3 = 486/3
X = 162
Which means that the first number is 162, the second number is 162 + 1 and the third number is 162 + 2. Therefore, three consecutive integers that add up to 489 are 162, 163, and 164.
162 + 163 + 164 = 489
We know our answer is correct because 162 + 163 + 164 equals 489 as displayed above.
Step-by-step explanation:
angle 1 & angle 2 are linear pair. That means both the angles form a straight angle (or 180°). Hence ,
Also it's given that angle 1 & angle 3 are supplementary. It means that their sum will be equal to 180° . So ,
Putting the value of m(1) in above eqn. gives :-
