Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
Z=82 vertical or opposite angle theorem
15x-7 + 82=180 supplementary angles theorem
so 15x +75 =180
15x=180-75
x=105/15
x=7
Answer:
R { - 6, 6 }
Step-by-step explanation:
To find the range substitute the values of x from the domain into f(x)
f(- 1) = - 4(- 1) + 2 = 4 + 2 = 6
f(2) = - 4(2) + 2 = - 8 + 2 = - 6
Range { - 6, 6 }
10x +4 </ 25 (the </ is a less than or equal to sign)
