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The value of x would be 30 degrees.
<h3>What is the angle sum property?</h3>
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Let's consider an angle CAD be t.
In a triangle ABD
x + 90 + t = 180
t = 180 -x - 90
t = 90 - x ( by angle sum property)
Now, we know that the sum of the corresponding angle on a transversal is 180
So,
Angle A + angle D = 180
2x + t + x + x = 180
substitute the t value
2x + 90 - x + 2x = 180
3x + 90 = 180
3x = 90
x = 30 degree
Hence, the value of x would be 30 degrees.
Learn more about the triangles;
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Given:

To find:
The interval on which the given function is positive.
Solution:
We have,

Splitting the middle term, we get




Using zero product property, we get


-2 and 7 divide the number line is three interval.
Interval Signs of
Result
(-∞,-2) (-)(-)(-) Negative
(-2,7) (-)(-)(+) Positive
(7,∞) (-)(+)(+) Negative
So, the function is positive for the interval (-2,7), i.e., -2 < x < 7.
Therefore, the correct option is D.
Answer:
from what
Step-by-step explanation: