Answer:
Step-by-step explanation:
A)1st pair: ∠HKJ ,∠JKG 2nd pair: ∠HKE,∠EKF
B)Verticle angle:∠HKE and ∠GKF
C) 4x+5+41=180
4x+46=180
4x=134
x=33.5
D)4x+36=90
4x=90-36
4x=54
x=13.5
E) x+x-4=180
2x=184
x=92
Answer:
-8748
Step-by-step explanation:
(6^2)(-3^5)
(6 x 6)(-3 x-3 x-3 x -3 x -3)
(36)(-243)
36 x -243
-8748
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
B because it =90 so it is Complementary
Answer:
No solution.
Step-by-step explanation:
That image is of the symbol of the empty set. The solution set is empty, which means there is no solution.
