Answer:
Step-by-step explanation:
a parallelogram, with angles <1, (3m+20)° and 5m°.
Please note: The sum of adjacent angles of a parallelogram are supplementary that is sum equal to 180° and opposite angles are equal.
(3m+20)° + 5m° = 180° and < 1 = (3m+20)°
Solving equation (3m+20)° + 5m° = 180° for m.
3m +20 +5m = 180
Combining like terms, we get
8m +20 = 180.
Subtracting 20 from both sides, we get
8m +20-20 = 180-20
8m = 160
Dividing both sides by 8, we get
8m/8 = 160/8
m = 20
Plugging m=20 in 3m+20, we get
3(20)+20 = 60+20 = 80°
Therefore, <1 = (3m+20)° = 80°.
Answer:
3x - 30 = 63
add 30 to both sides
3x = 93
divide by 3
x = 31
Step-by-step explanation:
Answer:
y = 3/4x + 10
Step-by-step explanation:
The equation of a line is y = slope * x + y-intercept
To find the slope, you choose two points and do (y1-y2)/(x1-x2): Point 1 can be (4,13) and point 2 can be (8,16) so, slope = (13-16)/(4-8) = -3/-4 = 3/4
The y-intercept is the value of y when x is 0, so it would be 10.
Put it together and you get y = 3/4x + 10
Answer:
5 1/3 miles per hour
Step-by-step explanation:
