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:
The consecutive even numbers are 28, 30, 32, 34
Step-by-step explanation:
let the four consecutive even numbers be: b d f h,
such that:
b=b, d=b+2, f=b+4, h=b+6.
Therefore, 2(b+b+2)=3(b+6)+14
b=28,
d=(b+2)=30
f=(b+4)=32
h=(b+6)=34
Answer:
$52
Step-by-step explanation:
Using the equation
y=mx+c
82=7x+c
122=11x+c
11x-7x=122-82
4x=40
x=10
To get c
82=7(10)+c
82-70=c
c=12
For 4 lessons
y=10(4)+12=52
The answer to your question is 42. The rule is 5 or more go up 1 . If the number is 4 les stay where it is. hope this help.
Answer:
A and D
Step-by-step explanation:
Hope this helps!
