Answer:
x = 5
Step-by-step explanation:
Here we can see SM and MT have equal sides.
Therefore, 2x + 3 should be equal to 4x - 7
So,
2x + 3 = 4x - 7
2x - 4x = -7 -3
-2x = -10
x = -10 / -2
x = 5
Answer:
≈ 35.91
Step-by-step explanation:
The law of sines lets you find the other sides:
DN/sin(M) = MN/sin(D) = DM/sin(N)
Angle D is 180° -75° -45° = 60°, so the remaining sides are ...
DN = sin(M)/sin(N)×DM = sin(75°)/sin(45°)×10 ≈ 13.66
MN = sin(D)/sin(N)×DM = sin(60°)/sin(45°)×10 ≈ 12.25
The perimeter is the sum of the side lengths, so is ...
10 + 13.66 +12.25 = 35.91
Answer:
4/7
Step-by-step explanation:
- Convert 8 4/7 into a mixed number by multiplying 8 by 7 and then adding 4. (60/7)
- Change the division sign to a multiplication sign.
- Flip 15/1 so it becomes 1/15.
- You should have (60/7)/(1/15). Multiply 60 and 1, and multiply 7 by 15. You will get 60/105.
- Simplify. The GCF of 60 and 105 is 15, so divide each number by 15 to get 4/7.