Answer:
75 degrees
Step-by-step explanation:
1. Find angle J.
The outside angle and angle J are supplementary, which means they add up to 180 degrees.
180 - 130 = 50.
So angle J is 50 degrees.
2. The angles in a triangle add up to 180. Add up angles J and K and subtract that from 180
50 +65 = 105
180- 105 = 75
Answer:
Table A
Step-by-step explanation:
looking at the two tables, we have the observations as follows;
For table B, if we divide x by y; we have a ratio of 2/3
This happens throughout the table
What this means is that x = 2/3 * y
But for table A, we notice a pattern for the first two lines
The pattern here is that x = 2y
But as we move to the next two rows, we notice this fails and thus, we fail to establish a pattern that works for all the rows;
Hence table B has a pattern for all its rows
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
50 degrees.
Step-by-step explanation:
The angle where 2x + 50 is congruent to the 150 degree angle because they are vertical angles.
2x + 50 = 150
2x = 100
x = 50.
Hope this helps!
