Answer:
(x,y) = (8,7)
Step-by-step explanation:
Solve equation [2] for the variable x
[2] x = y + 15
Plug this in for variable x in equation [1]
[1] (y +15) + y = 1
[1] 2y = -14
Solve equation [1] for the variable y
[1] 2y = - 14
[1] y = - 7 By now we know this much :
x = y+15
y = -7
// Use the y value to solve for x
x = (-7)+15 = 8
Solution :
{x,y} = {8,-7}
Answer:
a. angles A and C
b. angles B and D
Step-by-step explanation:
When two lines are parallel, it implies the value of the angle between them is 
. Thus the lines can not meet when extended continuously.
Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.
Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.
i.e < A = < C (alternate interior angle property)
<B = < D (alternate interior angle property)
Answer:
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
Step-by-step explanation:
Here in this question, we want to state what will happen if the null hypothesis is true in a chi-square test.
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
This is because at a higher level of discrepancies, there will be a strong evidence against the null. This means that it will be rare to find discrepancies if null was true.
In the question however, since the null is true, the discrepancies we will be expecting will thus be small and common.
Answer:
SAS triangle because a SAS stands for side angle side that's how u always know
