Answer:
6 = W + 2
Explanation:
The reason is since the hangar balance is "balanced" and there are six units on the left side and only 2 on the right (minus the variable weight), that means that the left weight is equal to the right and therefore 6u=w+2u.
Answer:
C) Consistent and Dependent.
Step-by-step explanation:
As the system has at least ONE solution. Both lines lie over each other, which makes them dependent.
The system, therefore, is consistent and dependent.
Answer:
A biker takes 10 hours to drive 60 miles.
Step-by-step explanation:
Answer:
46. ΔQRP ≅ ΔUTV
47. y = 42
48. ∠KMN = 101°
Step-by-step explanation:
46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.
47. From the sum of angles of a triangle, you know that ...
x +62 +65 = 180
x = 180 -127 = 53
x - y = 11 since the corresponding sides are the same length
53 - y = 11 . . . . . .substitute the value of x
y = 53 - 11 . . . . . . add y-11
y = 42
48. The exterior angle has the same measure as the sum of the opposite interior angles:
81 +4x = 13x +36
45 = 9x . . . . . . . . . add -4x-36
5 = x . . . . . . . . . . . divide by 9
∠KMN = (13x +36)° = (13·5 +36)° = 101°
Answer:
length = 24, width = 9
Step-by-step explanation:
Let's call the length and width of the first rectangle w + 15 and w respectively. This means that the length and width of the second rectangle is (w + 15) - 2 and w + 5 respectively. Since the perimeter of the second rectangle is 72, we can write:
2 * ((w + 15) - 2 + w + 5) = 72 because perimeter = 2 * (length + width)
(w + 15) - 2 + w + 5 = 36 (Divide by 2)
2w + 18 = 36 (Combine like terms)
2w = 18 (Subtract 18)
w = 9 (Divide by 2)
This means that the length and width are 24 and 9.
