Answer:
3 < 3k
Step-by-step explanation:
less than = <
3 times a number k = 3k
Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
Answer:
Step-by-step explanation:
in order to solve this system of equation we would say that let
3x+2y=-8........................................................ equation 1
1 x - y = -1 ........................................................ equation 2
from equation 2
1 x - y = -1 ........................................................ equation 2
x = -1 + y....................................... equation 3
substitute for equation 3 in equation 1
3x+2y=-8........................................................ equation 1
3( -1 + y) + 2y = 8
-3 + 3y +2y = 8
collect the like terms
-3 + 5y = 8
5y = 8 + 3
5y = 11
divide both sides by the coefficient of y
5y/5 = 11/5
y = 2.2
put the value y = 2.2 into equation 3
x = -1 + y....................................... equation 3
x = -1 + 2.2
x = 1.2
therefore th value of x is 1.2 and y is 2.2
