Answer:
Here is a proof
Angle DEF = angle ABC
A transversal cutting two parallel lines makes alternate exterior angles equal
Sum of measures of angles 1 and 2 = 50° + 48° = 98° = measure of angle DEF = measure of angle ABC
But since s bisects angle ABC, then angle 4 = 98 / 2 = 49°
But angles 3 and 4 are vertical angles....therefore.... measure of angle 3 = 49°
Step-by-step explanation:
Answer:
The answer is (Negative 6) (4) + (negative 6) (two-thirds)
Step-by-step explanation:
So basically, Negative 6x4= negative 24. Then you have to add Negative 6 x two-thirds. So 6 times two-thirds equal 4. So now you just add 24 and 4. And that equals 28. :)
Answer:
Step-by-step explanation:
A triangular prism has its bases in a triangle shape and a rectangular prism has its bases in rectangle shape.
Median of 15
(14 + b) / 2 = 15
14 + b = 15 * 2
14 + b = 30
b = 30 - 14
b = 16
range of 30
c - a = 30....c = 30 + a
mean of 18
(a + 8 + 14 + 16 + 26 + c) / 6 = 18
(a + 8 + 14 + 16 + 26 + (30 + a)) / 6 = 18
(2a + 94) / 6 = 18
2a + 94 = 18 * 6
2a + 94 = 108
2a = 108 - 94
2a = 14
a = 14/2
a = 7
c - a = 30
c - 7 = 30
c = 30 + 7
c = 37
check..
7,8,14,16,26,37
median = (16 + 14) / 2 = 30/2 = 15 ...correct
range = 37 - 7 = 30...correct
mean(average) = (7 + 8 + 14 + 16 + 26 + 37) / 6 = 108/6 = 18...correct
so a = 7, b = 16, and c = 37
Answer:
F(x) =2(1/2 x2-6x) +C
Step-by-step explanation:
Hope it helps
