Answer:
(3x - 5°) = 52°
Step-by-step explanation:
Formula we use,
→ A + B + C + D + E = 540°
Then the value of x will be,
→ A + B + C + D + E = 540°
→ (6x + 25°) + (5x + 10°) + (3x - 5°) + (5x + 10°) + (6x + 25°) = 540°
→ (6x + 5x + 3x + 5x + 6x) + (25° + 10° - 5° + 10° + 25°) = 540°
→ 25x + 65° = 540°
→ 25x = 540° - 65°
→ 25x = 475°
→ x = 475/25
→ [ x = 19° ]
The value of angle (3x - 5°) will be,
→ (3x - 5°)
→ (3 × 19) - 5°
→ 57° - 5°
→ [ 52° ]
Hence, value of angle (3x - 5°) is 52°.
Answer:
(4,-3)
Step-by-step explanation:
Multiplying the bottom equation by -6, we get -6x+12y=-60.
Adding this to the first equation gives 15y=-45, and thus y=-3.
So, it follows that 6x+3(-3)=15, and thus x=4.
Answer:
a. 60/61
Step-by-step explanation:
With reference angle A
base(b) = 60
hypotenuse (h) = 61
Now
Cos(A) = b / h
= 60/ 61
Answer:
Dalton didn't ride any kilometer farther since he keeps threading in the same path as that of his father.
Step-by-step explanation:
If Dalton's dad rode 1 kilometer north, 2 kilometers west 1 kilometer south and 2 kilometers east, then he has been moving in a rectangular path.
If Dalton rode in the same path 5times, then Dalton's has not move farther than his dad since he is still moving in the same rectangular path. He is only expending more energy.
Their final destination will still be the same for both of them no matter how many times Dalton keeps threading in the same path.