The value of x so that lines s and t are parallel is 12
<h3 /><h3>How to find angles involving parallel lines?</h3>
The angle are alternate exterior angles.
Therefore, alternate exterior angle theorem states that when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are equal.
Hence,
7x - 20 = 4x + 16
7x - 4x= 16 + 20
3x = 36
x = 36 / 3
x = 12
Therefore, the value of x is 12.
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Answer:
Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.
Step-by-step explanation:
We need to find p-value first:
z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]
p⁻ = X / n = 21 / 38 = 0.5526316
the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67%
H1: p < 0.67
z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575
z = -1.538681
using a p-value calculator for z = -1.538681, confidence level of 5%
p-value = .062024, not significant
Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.
Answer:
<h2>
<u>-1 + √3 or -(1 - 2√3)</u></h2>
Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = <u>-1 + √3 or -(1 - 2√3)</u>
Answer:
15
Step-by-step explanation:
1 dime = 10
1 quarter=25
x=number of coins - dimes
y= number of coins - quarters
x (10)+y(25)=10.25
x+y=50
x= 50-y
x(10)+y(25)=1025
(50-y)(10)+25y =1025
500-10y+25y=1025
500+15y=1025
15y= 1025 - 500
15y=525
y=525/15
y=35
x= 50-35=15
