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>
If each of the 28 students made at least $25, you would multiply 28 and 25 together to obtain the least amount of money the class raised. That gets, 28x25 = 700. The class made at least $700.
Find the GCF of 88 and 24 first
88=2*2*2*11
24=2*2*2*3
The GCF for 88 and 24 is 8
The GCF for r^18 and r^13 is r^13 (because they both contain r^13 in them)
=8r^13(11, 3)
Hope I helped :)
Answer:
1.8
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
(86-32)/(30-0)
54/30
1.8
Answer:
2 over 5
Step-by-step explanation:
Common ratio =
7/ (35/2) = (14/2) / 7
Our answer became 2/5