we have: ∠P + ∠Q + ∠R = 180°
<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°
<=> 4x – 14 + 5x + 6 + x - 2 = 180°
<=> 10x - 10 = 180°
<=> 10x = 190
<=> x = 19°
So: ∠R = (x - 2)° = (19 - 2)° = 17°
ok done. Thank to me :>
Answer:
1. Distance is 5 units 2. Distance is 14 units 3. B. (2, -5), 10. (4, 14) 11. (6, 12) 14. x = 12 16. x = 55
Step-by-step explanation:
All you need to do it combine like terms.
3x + 9 + 4x + x
(3x + 4x + x) + 9
8x + 9
i hope this was helpful for you!
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph
For x=1: -7 x 1 + 4 = -3 y=-3
The ordered pair:(1, -3)
for x=3: -7 x 3 + 4 = -17 y=-17
The ordered pair:(3, -17)
for x=5: -7 x 5 + 4 = -35 y=-35
The ordered pair:(5, -35)
for x=7: -7 x 7 + 4 = -45 y =-45
The ordered pair:(7, -45)