Answer:
12
Step-by-step explanation:
Absolute value means take the positive value
3|-4|
3*4
12
9514 1404 393
Answer:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Step-by-step explanation:
Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.
Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.
Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.
In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.
In summary:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Answer:
jhj
Step-by-step explanation:
The first answer
Step by step
His first year costs $8,000
So our total amount to start with is $8,000
His second year will cost 12% more than his first so $8,000 • 1.12 = $8,960
Our total is now $16,960
His third year will again will be 12% more than his last year so $8,960 • 1.12 = 10,035.2
Our total is now $26,995.2
His last year will be 12% more than his previous year so $10,035.2 • 1.12 = $11,239.42
Our final total is $38,234.62
Which rounded equals $38,235
Answer:
5y + 3x + 9
Step-by-step explanation:
Whenever something is multiplied by the same variable, you can combine the coefficients. In this case, first you'd move the values with the same variable next to each other, for simplicity:
7y-2y+3x+3+6
Then, combine like terms.
5y+3x+3+6
5y+3x+9
