Answer:
D
Step-by-step explanation:
The diagonals of a rhombus bisect each other, thus
FJ = JH, that is
y + 5 = 4x ( subtract 5 from both sides )
y = 4x - 5 → (1)
In a rhombus all sides are congruent, thus
HG = EF, substitute values
3x + y = 2x + y + 2 ( subtract y from both sides )
3x = 2x + 2 ( subtract 2x from both sides )
x = 2
Substitute x = 2 into (1)
y = 4(2) - 5 = 8 - 5 = 3
Thus
EF = 2x + y + 2 = 2(2) + 3 + 2 = 4 + 3 + 2 = 9 → D
Answer:
1. zero triangles
2. one triangle
3. two triangles
4. zero triangles
5. one triangle
Step-by-step explanation:
Answer: she ran 3.53km on the third day.
Step-by-step explanation:
Let x represent the number of miles that she ran on the second day.
The first day, she ran 1.37 km more than she ran on the second day. This means that the distance that she ran on the first day is
x + 1.37
On the third day, she ran 0.98 km more than the second day. This means that the distance that she ran on the third day is
x + 0.98
The total distance that she wants to run in 3 days is 10km. This means that
x + 1.37 + x + x + 0.98 = 10
3x + 2.35 = 10
3x = 10 - 2.35
3x = 7.65
x = 7.65/3
x = 2.55
The distance that she ran on the third day is
2.55 + 0.98 = 3.53 km
Answer:
The height is 17 ft
Step-by-step explanation:
The surface area of a rectangular prism is
SA = 2(LW +WH + LH)
where L = length, W = width, and H = height
We know SA = 930, L = 12, and W = 9
930 = 2(12*9 +9H + 12H)
Divide each side by 2
930/2 = 2/2(12*9 +9H + 12H)
465 = (12*9 +9H + 12H)
Combine like terms
465 = 84+21H
Subtract 84 from each side
465-84 = 84-84+21H
357 = 21H
Divide by 21
357/21=21H/21
17 = H
The height is 17 ft
