C ) 131 is the answer
in the upside-vertex (not inverted) triangle, angle to your left hand side would be equal to x (as interior alternate angles) = 68
and the angle to the right would be 180-y= 180-117 = 163 (as linear angles)
so the angle at the vertex = 180 - (68 + 163) =49 (as angles in a triangle sum upto 180)
so the angle mz = 180 - 49 = 131 degrees (as linear pair of angles or angle in a straight line)
Answer:
0 < x < 2
Step-by-step explanation:
0 < 2x < 4
Divide 2 into all the parts.
0/2 < 2x/2 < 4/2
The x variable should have no coefficient.
0 < x < 2
Answer:
The y-intercept is -1
The x-intercept is 4.5
Step-by-step explanation:
We have the following equation:
f(x) = log(2x+1) - 1
The y intercept is the value of f(x) when x is equal to 0, so replacing x by 0 and solving for f(x), we get:
f(0) = log(2*0 + 1 ) -1
f(0) = log(1) - 1
f(0) = 0 - 1 = -1
Additionally, the x-intercept is the value of x when f(x) is equal to 0. So, replacing f(x) by 0 and solving for x, we get:
Answer:
n - 6 = 5 * ( n + 2 ) ; n = -4
Step-by-step explanation:
For this problem, we will use the words to create an equation. The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2. Hence, we can build the equation:
n - 6 = 5 * ( n + 2 )
If we wanted, we can solve the equation for the number, n.
n - 6 = 5 * ( n + 2 )
n - 6 = 5 * n + 5 * 2
n - 6 = 5n + 10
-16 = 4n
-4 = n
Thus, we have found the missing number to be negative four.
Cheers.
The value of x is 67°
What are corresponding angles?
Two angles are said to be corresponding if they occupy the same position at the point of intersection of a parallel line and a transversal that crosses it.
Analysis:
∠H = ∠I = 67° ( corresponding angles)
∠H + ∠I + ∠A = 180
67 + x + 46 = 180°
113 + x = 180
x = 180 - 113 = 67°
In conclusion, x = 67°
Learn more about corresponding angles: brainly.com/question/2938476
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