If one angle is 8 times bigger than the other, the bigger angle's measure would be 8x and the smaller angle's measure would be x. 8x+x=90. This simplifies to 9x=90. To find x, you divide 9 from 90, making x=10. This means the smaller angle (Angle 2) is 10° and the bigger angle's (Angle 1) is 8 times 10, so it is 80°.
Answer:
y = - 3x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (6, 1) into the partial equation
1 = - 18 + c ⇒ c = 1 + 18 = 19
y = - 3x + 19 ← equation of line
( 1 ,2) is in first quadrant
(-1,2) is in second
(-1,-2) is in the third
( 1, -2) is in 4th quadrant
If he's studying 3/4 hours more everyday, for Friday it will be 1 + 6/8 = 1 and 3/4 hours or 1 hour and 45 minutes.