• The measure of angle B is 70°
• The measure of angle Cis (4x)
What is the value of x?
The measure of the value x of the triangle is x = 20.
Given data:
In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up an equation using the given angle measures:
Angle A + Angle B + Angle C = 180
Substitute the given angle measures:
(2x - 10) + 70 + 4x = 180
Combine like terms:
6x - 10 + 70 = 180
Simplify:
6x + 60 = 180
Now, subtract 60 from both sides of the equation:
6x = 120
Finally, divide both sides by 6 to solve for x:
x = 20
Hence, the value of x is 20 and the angles are solved.
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x is equal to 20.
The angles of one triangle always add up to 180°, so we can add the measures of each angle together and make an equation.
equation —> 2x - 10 + 70 + 4x = 180
After combining like terms, we get 6x + 60 = 180.
Then we can subtract 60 from both sides to isolate the variable, and the equation becomes 6x = 120. Then we can divide both sides by 6 to get the value of x. The equation becomes x = 20.
B.0 = (x – 3)(x – 3)
C.0 = 2.4(x – 2)(x + 2)
D.0 = (x – 2)(x – 1)
Answer:
The answer is B (0 = (x – 3)(x – 3))
The solution to the system of equations y= x - 4 and y= 6x - 10 is (1.2,-2.8) by using substitution method and solving the resulting equation.
To solve this system of equations, you can use the substitution method. Since both equations have 'y' isolated, you can set them equal to each other. This gives you x - 4 = 6x - 10. To solve this equation, you can subtract 'x' from both sides which will give you -4 = 5x - 10. Then add 10 to both sides to give you 6 = 5x. Finally, divide by 5 on both sides to give you x = 1.2. Substituting x = 1.2 into the first equation y = x - 4 gives us y = 1.2 - 4, which simplifies to y = -2.8. Thus the solution to the system of equations is (1.2,-2.8).
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