Answer
T=72
U=54
Explain
The interior angles of a triangle equal 180 and because two of the sides were equal I knew that the angles across from each other are the same
Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.
Answer:
Side a = 88.67626
Side b = 57
Side c = 67.92995
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 40° = 0.69813 rad = 2/9π
Angle ∠C = 50° = 0.87266 rad = 5/18π
Area = 1,936.00371
Perimeter p = 213.60621
Semiperimeter s = 106.80311
Height ha = 43.66453
Height hb = 67.92995
Height hc = 57
Median ma = 44.33813
Median mb = 73.66633
Median mc = 66.35224
Inradius r = 18.12685
Circumradius R = 44.33813
Vertex coordinates: A[0, 0] B[67.92995, 0] C[0, 57]
Centroid: [22.64332, 19]
Inscribed Circle Center: [18.12685, 18.12685]
Circumscribed Circle Center: [33.96498, 28.5]
1.)
=(x-8i)(x+8i)
x^2+8ix-8ix-64i^2
x^2-64i^2
x^2-64(-1)
x^2+64
2.)
=(4x-7i)(4x+7i)
16x^2+28ix-28ix-49i^2
16x^2-49i^2
16x^2-49(-1)
16x^2+49
3.)
=(x+9i)(x+9i)
x^2+9ix+9ix+81i^2
x^2+18ix+81(-1)
x^2+18ix-81
4.)
=(x-2i)(x-2i)
x^2-2ix-2ix+4i^2
x^2-4ix+4(-1)
x^2-4ix-4
5.)
=[x+(3+5i)]^2
(x+5i+3)^2
(x+5i+3)(x+5i+3)
x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9
x^2+6x+10ix+30i+25i^2+9
x^2+6x+10ix+30i+25(-1)+9
x^2+6x+10ix+30i-25+9
x^2+6x+10ix+30i-16
Hope this helps :)
Answer: y=-(3x-2)= -3x+2
The intercept with y is 2
The intercept with x is 2/3