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:
Step-by-step explanation:
If you draw out a diagram of the situation, the height of the person is 5.5 feet, standing 25 feet away from the tree. then the person looks up at a 71 degree angle with the top of the tree, it should look like a right triangle on top of a rectangle.
We know the angle she's looking at (71 degrees) and the side adjacent to the angle (the distance she is away from the tree, 25 feet). Using tangent we can solve for the opposite side.
tan(71 degrees) = x ÷ 25
25 tan (71 degrees) = x
x is about 72.6 feet
that's the height from her eyes to the top of the tree.
To get the height of the tree you add how high above the ground her eyes are (5.5 feet) to x (72.6 feet)
72.6 + 5.5 = 78.1 feet
that should be the height of the tree
Answer: b
explanation: only choice B equals -9 like the given equation.
Answer:
The correct option is a=5, b = -4, c=7 ....
Step-by-step explanation:
The standard form is ax²+bx+c=0
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
The given expression is:
4x + 5x2 = 8x – 7
To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.
4x+5x²-8x+7=0
Now solve the like terms and arrange the equation according to the standard form:
ax²+bx+c=0
5x² - 4x +7 =0
Here a = 5
b = -4
c= 7
Thus the correct option is a=5, b = -4, c=7 ....
