Answer:
Step-by-step explanation:
We were originally on -1.
But we jumped to -4.
-4 is 3 spaces to the left of -1.
In other words, we subtract 3 into -1.
Another way of saying this is that we added -3 to -1.
Therefore, our equation is:
Vertical angles equal each other so (13x-85) = 97
we can solve for x:
13x-85 = 97
add 85 to each side:
13x = 182
divide both sides by 13
x = 182 / 13
x = 14
z and 97 are supplementary angles and need to equal 180 degrees
z = 180 - 97 = 83
Answer:
360 × 30
= (360 × 3) × 10
= 1080 × 10
= 10800
Step-by-step explanation:
For the first two blanks, we will have to find a pair of factors of 30 that will make this the easiest to solve. Lets pair up all of the factors of 30.
1, 30
2, 15
3, 10
5, 6
So now we have found all of the factors of 30. We can eliminate 1 and 30, since we will just end up with 360 × 30 in the second line. We could use 2 and 15, but we will end up with _____ × 15 in the second line, which would be more difficult to solve for than the other two options. Now, you should use any one of the final two pairs of factors. I would use 3 and 10, since I find it much easier to multiply something by 3 and 10 than 5 and 6.
Lets put 3 in the first blank and 10 in the second blank. We will end up with:
(360 × 3) × 10
Now 360 × 3 would be 1080. So the second line would be:
1080 × 10
1080 × 10 would equal 10800. So the final line and the final blank would be:
10800
So in order, the lines would be:
= (360 × 3) × 10
= 1080 × 10
= 10800
I hope you find my answer and explanation to be helpful. Happy studying.
