Answer:
6; 22; 20 (ft.)
Step-by-step explanation:
1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.
2) if according to the condition perimeter is 48 (ft.), then
9n-6=P; ⇔ 9n-6=48; n=6.
3) if n=6, then the required lengths of the sides are:
n=6 (ft.);
4n-2=22 (ft.);
4n-4=20 (ft.)
Answer:
The last option: 3 x (7 + 2) = (3 x 7) + (3 x 2)
Step-by-step explanation:
There is addition on the inside, and you are distributing the multiplication from the outside.
Answer:
Step-by-step explanation:
Sum of angles in a triangle = 180
1. 180 = 78 + 37 + x
180 = 115 + x
Subtract 115 from both sides
180 - 115 = 115 + x - 115
180 - 115 = x
65 = x
x = 65°
2. 180 = 80 + 66 + x
180 = 146 + x
Subtract 146 from both sides
180 - 146 = 146 + x - 146
34 = x
x = 34°
1. Getting either all heads or all tails is a 1/1024 chance
2. Rolling a pair of dice and getting a sum of one has a chance of 0
3. Rolling a sum of 5 has a 2 in 21 chance
4. Rolling a sum of 12 has a 1 in 21 chance
Answer:
- 4 < x ≤ 7
Step-by-step explanation:
Given
- 10 ≤ - 5x + 25 < 45 ( subtract 25 from all 3 intervals )
- 35 ≤ - 5x < 20
Divide all 3 intervals by - 5, reversing the inequality signs as a consequence.
7 ≥ x > - 4
Hence - 4 < x ≤ 7
