Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
<h3>How to illustrate the information?</h3>
It should be noted that complementary angles are the angles that are equal to 90°.
Therefore, based on the information given, the expression will be illustrated thus:
19x + 6 + 9x = 90°
Collect like terms
28x = 90° - 6°
28x = 84
Divide through by 28
28x / 28 = 84/28
x = 3
Therefore, the value of HEB will be:
= 9x
= 9 × 3
= 27°
Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
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Answer:
First choice is the correct one
Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.
Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
= [x(x+5)-(x+1)] / [x(x+2)]
= (x^2 + 5x - x - 1) / [x(x+2)]
= [(x^2 + 4x - 1)] / [x(x+2)]
Hope this helps :)
Answer:
Step-by-step explanation:
Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:
