Answer:
m∠ADC = 132°
Step-by-step explanation:
From the figure attached,
By applying sine rule in ΔABD,
![\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsin%7D%28%5Cangle%20ABD%29%7D%7B%5Ctext%7BAD%7D%7D%3D%5Cfrac%7B%5Ctext%7Bsin%7D%28%5Cangle%20ADB%29%7D%7BAB%7D)
![\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsin%7D%28120%29%7D%7B35%7D%3D%5Cfrac%7B%5Ctext%7Bsin%7D%28%5Cangle%20ADB%29%7D%7B30%7D)
sin(∠ADB) = ![\frac{30\text{sin}(120)}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B30%5Ctext%7Bsin%7D%28120%29%7D%7B35%7D)
= 0.74231
m∠ADB = ![\text{sin}^{-1}(0.74231)](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E%7B-1%7D%280.74231%29)
= 47.92°
≈ 48°
m∠ADC + m∠ADB = 180° [Linear pair of angles]
m∠ADC + 48° = 180°
m∠ADC = 180° - 48°
m∠ADC = 132°
Answer:
Average: 4
Standard Deviation: 0
Step-by-step explanation:
Because we don't know how each student did we are going to assume that they all got 20% of the questions right
20% of 20 is 4
Which means that we can assume each student got 4 questions correct
Because all entries are the same the standard deviation is 0
Answer:
I believe is y= x(2.5)+5 for the first one and y= x(1)+15
Step-by-step explanation:
hope this helps
Its 56
bc thats the first number that is similar to both 7 and 8