Answer:
-3/4 is a rational number because it is not a non-terminating and non-repeating number. It is not an integer because it is not a whole number.
Step-by-step explanation:
I hope I was right :D
Answer:
y = ![\frac{16}{3}x-79](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-79)
Step-by-step explanation:
From the given table,
Two points are (1, 15) and (7, 47)
If the two points
and
are lying on a line then slope 'm' of the line will be,
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
= ![\frac{47-15}{7-1}](https://tex.z-dn.net/?f=%5Cfrac%7B47-15%7D%7B7-1%7D)
= ![\frac{32}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B6%7D)
= ![\frac{16}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D)
Let the equation of a line passing through (h, k) is,
y - h = m(x - k)
If the line passes through (1, 15)
y - 1 = ![\frac{16}{3}(x-15)](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D%28x-15%29)
y = ![\frac{16}{3}x-\frac{16}{3}(15)+1](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-%5Cfrac%7B16%7D%7B3%7D%2815%29%2B1)
y = ![\frac{16}{3}x-80+1](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-80%2B1)
y = ![\frac{16}{3}x-79](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-79)
Answer:
m∠3 = 24°
Step-by-step explanation:
By the theorem,
"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."
In the given picture,
∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.
Therefore, m∠3 = ![\frac{1}{2}m(\text{arc}ED)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm%28%5Ctext%7Barc%7DED%29)
m∠3 = ![\frac{1}{2}(48)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2848%29)
= 24°
Measure of angle 3 is 24 degrees.