Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,

In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,

AB = EF + CI = 
A counter example disproves a statement.
The counter example for : the city of Portland is in Oregon would be : the city of Portland is in Maine.
The city named Portland can be found in both states.
The slope = 4
y-intercept = -3
The equation of a line in slope intercept form is written as y=mx+b
where m is the slope and b is the y-intercept.
replace m and b with the given information:
The equation is: y = 4x-3
Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
---------------------------------------------------------------
∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR =
=
= 48°
The answer is 9<span>b<span><span>^3</span><span></span></span></span>−8<span>b^<span><span>2. Good luck!!!!</span></span></span>