The answer is -2. To do this, combine all like terms then solve for x by dividing.
option : c. 2x + 15 = 145
cuz, the angles are vertical opposite angles
Answer:
Step-by-step explanation:
<u>9</u>/14 × 5/<u>3</u>
The factors can be canceled if they are factors of both the numerator of the first fraction and the denominator of the second fraction. The factors get cancelled leaving the second fraction to a whole number.
3/14 × 5
(3 × 5)/14
15/14
Remark
Average Speed = Total distance divided by total time.
Total Time
2 hours + 3 hours = 5 hours. The total time is 5 hours.
Total Distance
d = rate * time
d1 = 40 km/hour * 2 hours = 80 km
d2 = 50 km/hour * 3 hours = 150 km
d = d1 + d2
d = 80 + 150 = 230 km
Average Speed
Av = Total distance / Total Time = 230 / 5 = 46 km/hr
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
2x+9y=5
9y = - 2x + 5
y = -2x/9 + 5/9
Comparing with the slope intercept form, slope = -2/9
If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (4,-9) is 9/2
To determine the intercept, we would substitute m = 9/2, x = 4 and y = -9 into y = mx + c. It becomes
- 9 = 9/2×4 + c = 18 + c
c = - 9 - 18 = - 27
The equation becomes
y = 9x/2 - 27
