Answer:
x = -8/2
Step-by-step explanation:
To make the equation easier to work with, our first step will be to make all of our fractions have a common denominator. Both 2 and 4 are factors of 8, so that will be our common denominator.
Old Equation: 1/4x - 1/8 = 7/8 + 1/2x
New Equation (with common denominators): 2/8x - 1/8 = 7/8 + 4/8x
Now, we're going to begin to isolate the x variable. First, we're going to subtract 2/8x from both sides, eliminating the first variable term on one side completely.
2/8x - 1/8 = 7/8 + 4/8x
-2/8x -2/8x
__________________
-1/8 = 7/8 + 2/8x
We're one step closer to our x variable being isolated. Next, we're going to move the constants to the left side of the equation. To do this, we must subtract by 7/8 on both sides.
-1/8 = 7/8 + 2/8x
- 7/8 -7/8
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-1 = 2/8x
Our last step is to multiply 2/8x by its reciprocal in order to get the x coefficient to be 1. This means multiply both sides by 8/2.
(8/2) -1 = 2/8x (8/2)
The 2/8 and 8/2 cancel out, and you're left with:
-8/2 = x
I hope this helps!
Answer:
Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
tan θ = opp/adj
tan 30 = y/(4√3)
y = 4√3 tan 30
y = 4
Answer:
i don't think anyone an answer this without the picture below.
Step-by-step explanation:
Answer:
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- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
