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:
a) 30%
b) 280
Step-by-step explanation:
a) 3/10 = 30/100 = 30%
b) 30% = 0.3
0.3 × 400 = 120
400 - 120 = 280
Answer:
Step-by-step explanation:
Let:
We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2
Now subtract (2) from 2*(1) in order to eliminate x:
Solving for y:
Multiplying both sides by -1
Finally, replacing the value of y in (1)
Solving for x:
add 41 to both sides:
Multiply both sides by 1/2:
2x + 3y > 38
I am currently on mobile, but the > should have a solid line beneath. I know that 2x + 3y needs to be greater than or equal to 38, since if he scores less than 38 points he won’t meet his season high of 1,200.
Answer:
32/3
Step-by-step explanation:
