Step-by-step explanation:
Yes, 5 is in the solution set
Answer:
108
Step-by-step explanation:
b1+b2/2×h
so 12+15/2×8
12+15=27
27÷2=13.5
13.5×8=108
108 is the answer
y = mx + b
Subtract mx from both sides
y - mx = b
b = y - mx
A line through two points A, B can be found by the point-slope form of the formula:
(y-ya)=m(x-xa)............(1)
and
m=(yb-ya)/(xb-xa).......(2)
where A(xa,ya), B(xb,yb) and m is the slope between points A & B.
Substituting
A(xa,ya)=A(1,3)
B(xb,yb)=B(0,2)
From (2)
m=(yb-ya)/(xb-xa)
=(2-3)/(0-1)
=-1/(-1)
=1
Substitute in (1) : (y-ya)=m(x-xa)
y-3=1(x-1)
Distribute and simplify
y=x-1+3=x+2
or
y=x+2 .................(3a) equation required in slope-intercept form
x-y+2=0...............(3b) equation in standard form
Answer:
65°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠EAB = 180 - 90 - 70 = 20°
⇒ m∠DAG = 90 - 45 - 20 = 25°
⇒ m∠AGD = 180 - 90 - 25 = 65°
ΔADG ≅ ΔAFG
⇒ m∠AGD = m∠AGF = 65°
ΔABE ≅ ΔAFE
⇒ m∠AEB = m∠AEF = 70°
