Answer:
m<R = 65
Step-by-step explanation:
m<R + m<S + m<T = 180° (sum of interior angles in a triangle)
(5x - 11) + (3x - 3) + (3x + 18) = 180°
Solve for x.
5x - 11 + 3x - 3 + 3x + 18 = 180
Add like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 16
m<R = (5x - 11)
Plug in the value of x
m<R = 5(13) - 11
m<R = 65
Answer:

Step-by-step explanation:
The first line has a slope of -5/3 found using the points in the slope formula.

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form
.

Answer:
665.73 cm or 6.65 m
Step-by-step explanation:
The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:
3.6m * 100cm / 1m = 360cm
Now we calculate the number of steps:
360 cm / 18 cm = 20 steps
Now each step measures 28 cm, therefore:
20 * 28 = 560 cm
To calculate the length of the ladder, we must apply Pythagoras:
c ^ 2 = a ^ 2 + b ^ 2
a = 360; b = 560
replacing:
c ^ 2 = 360 ^ 2 + 560 ^ 2
c ^ 2 = 443200
c = 665.73
665.73 cm in meters would be 6.65 meters.
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
Answer:
s = 71 mph, and s+9 = f = 80 mph
Step-by-step explanation:
The distances the two busses travel add up to 604 mi.
Letting f be the faster speed and s the slower. Then f = s + 9 (mph).
Then (s + 9)(mph)(4 hr) + (s)(mph)(4 hr) = 604 mi. Solve this for s:
4s + 36 + 4s = 604 mi, or 8s = 568. Finally, s = 71 mph, and s+9 = f = 80 mph.