Answer:
x = 16
y = 116
Step-by-step explanation:
Given is a figure of isosceles trapezoid. One pair of opposite sides are parallel and non-parallel sides acts as it's transversals.
Therefore,
4x° + (6x + 20)° = 180° ( interior angles on the same side of transversal)
(6x + 20 + 4x)° = 180°
(10x + 20)° = 180°
10x + 20 = 180
10x = 180 - 20
10x = 160
x = 160/10
x = 16
Measure of base angles of an isosceles trapezoid are equal.
Therefore,
y° = (6x + 20)°
y = 6x + 20
y = 6*16 + 20
y = 96 + 20
y = 116
Answer:
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Answer and Step-by-step explanation:
Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:
σ² = ∑(x - ⁻x)² / n
1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;
2) Subtract each value of the data to the mean;
3) Square the result of the subtractions;
4) Add the squares;
5) Divide the sum by the total number of elements of the set;
6) The result is the Variance (σ²);
Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:
σ = 
So, to calculate standard deviation, you just take the square root of the variance.
Answer:
38
Step-by-step explanation:
x+x+14=90