Answer:
Step-by-step explanation:Explanation is
in a filely/3fcEdSx
bit.
Answer:
y + 30 = 4/5(x - 10)
Step-by-step explanation:
Given the slope, 4/5, and point (10, -30):
We can plug these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (10, -30)
and m = 4/5
y - (-30) = 4/5(x - 10)
y + 30 = 4/5(x - 10)
Therefore, the point-slope form is y + 30 = 4/5(x - 10)
Answer:
Larger for the sample of Canadians
Step-by-step explanation:
The larger the sample size, the smaller the standard deviation (sampling variability) associated with the sample means and vice-versa.
The sample of Canadians is smaller, it is expected that their sampling variability is larger than the sample of Canadians based on the rule that as the sample size increases, the standard deviation of the means decreases; and as the sample size decreases, the standard deviation of the sample means increases
Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.
