Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
Ratio of x and y is: x/y = 5/12
It would be equal to : 5/12 = 8/y
y = 8/5 * 12
y = 1.6 * 12
y = 19.2
In short, Your Answer would be 19.2
Hope this helps!
Step-by-step explanation:
It wants u to cross and multiply so what i would do is put both of them together and multiply across and when u get the answers that u multiply u then divide to see what was the lowest and what the greatest ratio was so for me i would gi with a
Answer:
Option D is correct, Wilcoxon signed rank test
Step-by-step explanation:
This will be a dependent sample because same students are being surveyed. Hence,
We should use Wilcoxon signed rank test <em><u>(which is a non-parametric statistical hypothesis test utilized to evaluate two related or connected samples, matched samples, or repetitive measurements on a lone sample to evaluate whether their population mean ranks differ.)
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Option D is correct. Wilcoxon signed rank test.