Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
Answer:
4
Step-by-step explanation:
3x + 2(x + 4) + 2x+1 = 37 Remove the brackets.
3x + 2x + 8 + 2x + 1 = 37 Collect like terms
7x + 9 = 37 Subtract 9 from both sides
7x + 9-9 = 37 - 9 Combine
7x = 28 Divide by 7
7x / 7 = 28/7
x = 4
Answer:
Step-by-step explanation:
From the given right angle triangle,
The unknown side represents the hypotenuse of the right angle triangle.
With m∠x as the reference angle,
the adjacent side of the right angle triangle is 7.8
the opposite side of the right angle triangle is 8
To determine m∠x, we would apply
the Tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan x = 8/7.8 = 1.026
x = Tan^-1(1.026)
x = 45.7° to the nearest tenth
Answer:
The 3rd option is correct ♡
The answer is equal to A which is 0