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:
2) Add 21 to both sides
Step-by-step explanation:
When solving 
for 
, our goal to isolate such that we have set equal to something.
Therefore, we want to start by adding 21 to both sides. This leaves us with 
and we are one step closer to isolating .
The three interior angles of any triangle add to 180 degress. Therefore,
180-(120 + 40) = the third angle.
So, 20 is the third angle
Step-by-step explanation:
m=-2
m^2+9m+3
substitute-2 in m
-2^2+9(-2)+3
= -19
Answer:
hi
Step-by-step explanation:
