The minimum value for 2x is 0
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>
<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>
<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>
<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>
<span>sin 2x = 22 (sin 34°)/30 </span>
<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>
<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>
<span>0 < x < 12.1°</span>
Answer: Option D
Step-by-step explanation:
By definition if we have a function F (x) and perform a transformation of the form
Then it is true that:
If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right
If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.
Note that in this case the transformation is:
Then 
and 
Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally <em>9 units to the left</em>
The answer is the option D.
Answer:
it would be probably the letter M
The graph is wrong, the slope is correct but because the sign is less than y that means the line on the graph should be dotted not solid.
We can look at 2 similar triangles.
1st triangle has legs: a vertical pole and its shadow, and
2nd triangle has legs legs : a child and his(her) shadow.
We can write a proportion:
height of a pole/height of a child= shadow of a pole/shadow of a child
8/4 = 5/shadow of a child
shadow of a child=(5*4)/8=5/2 ft
Answer: 5/2 ft
