Answer:
x + 15 = 3 (x - 5)
William’s current age: 15. Years old
Step-by-step explanation:
x + 15 = 3(x-5)
x + 15 = 3x - 15
15 + 15 = 3x - x
30 = 2x
x = 15
Answer:
Step-by-step explanation:
Much depends on how accurate an estimate you want.
If "to the nearest hundred" would be acceptable (it's a lot of work),
Round off 542817 to 542820 and 27398 to 2740. Then you'd want to subtract 2740 from 542820. (Again, it's a lot of work.)
Otherwise round off to the nearest thousand: 543000 - 27000.
Or go to the nearest ten thousand: 540,000 - 30,000 = 510,000 (estimate)
Answer:
35 is a prime number between 30 and 40
Answer:
8) 10°
9) X can not be determined.
10) 10°
11) 12 units.
Step-by-step explanation:
8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.
So, 6x = 60°
⇒ x = 10°.
9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.
So, 6x - 5 = 6x
So, x can not be determined from this equation.
10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°
Hence, 3x = 30°
⇒ x = 10°
11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.
Again, ∠ X is given to be 60°.
Therefore, each angle is 60°.
So, the triangle XYZ is equilateral, and each side will be equal.
So, 3x + 8 = 4x - 4
⇒ x = 12 units. (Answer)
