Answer:
see explanation
Step-by-step explanation:
the exterior angle of a triangle equals the sum of the 2 opposite interior angles, that is
2x + 4 = x + 60 ( subtract x from both sides )
x + 4 = 60 ( subtract 4 from both sides )
x = 56
exterior angle = 2x + 4 = (2 × 56) + 4 = 112 + 4 = 116°
Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
Answer:
Step-by-step explanation:
A triangle adds up to 180 degrees. So, just add all the angles together
75 + 40 + (x+30) = 180
115 + x + 30 = 180
145 + x = 180
x = 35
Answer:
56 lbs
Step-by-step explanation: