Answer:
Step-by-step explanation:
The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,
5x+3+9x-20 = 151 and
14x - 17 = 151 and
14x = 151 + 17
14x = 168 so
x = 12
If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:
5(12) + 3 = 63 and
9(12) - 20 = 88 and
88 + 63 = 151 as it should.
Answer:
Number of games Grangers won = 12
Step-by-step explanation:
Given:
Number of ponits = [Number of games won]3 + number of games drawn
Grangers have = 42 points
Number of game drawn = 6 games
Find:
Number of games Grangers won
Computation:
Number of ponits = [Number of games won]3 + number of games drawn
42 = [Number of games won][3] + 6
36 = [Number of games won][3}
[Number of games won] = 12
Number of games Grangers won = 12
Answer:
Test statistic = 3.863
Step-by-step explanation:
We are told that most adults would erase all of their personal information online if they could. Since the word "most" is used, it means more than 50% or 50 percent.
So, p_o = 0.5
Also, we are told that 58 % of them would erase all of their personal information online if they could.
Thus, p^ = 0.58
Number of randomly selected adults; n = 583
The test statistic formula for hypothesis test for proportion is given by:
z = (p^ - p_o)/[√[p_o(1 - p_o)/n]
Plugging in the relevant values, we have;
z = (0.58 - 0.5)/[√[0.5(1 - 0.5)/583]
z = 0.08/0.02070788416
z = 3.863
Answer:
d is the answer to your question
In a parallelogram, opposite sides have the same length.
3x + 9 = 5x -5
group like terms on one side
9 + 5 = 5x -3x
14 = 2x
x is 7.
Since AB is 5x -5
AB = 5(7) -5
AB = 30.
BX is half of the line DB. So BX = DX
5y = 7y - 10
10 = 7y -5y
10 = 2y
y =5.
Since BX = 7y - 10
BX = 7(5) -10
BX = 25
