It is the sum of the integers from 1-41 minus the sum of the integers from 1-24 divided by 17
the sum of the integers from 1-41 is (42)(45)/2 = 861
the sum of the integers from 1-24 is (24)(25)/2 = 300
(861-300)/17 = 33
The answer is 33
Answer- since you are buying x packs of pencils, 2x packs of erasers, and 3x rolls of tape, you would be buying a total of 6x items.
Step-by-step explanation:
h(x) = 3. g(x) + 5
x= -1 h(x) = 3×8 + 5= 29
x= 0h(x) = 3×5 + 5= 20
x= 2 h(x) = 3×1 + 5= 8
x= 5 h(x) = 3×-5 + 5= -10
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
b = 4 inches, c = ~5.66 inches
Step-by-step explanation:
The triangle is isosceles so b is equal to the adjacent side. Use the Pythagorean theorem to find c.