<u>Question 11</u>
1) 
, 
(given)
2) 
(reflexive property)
3) 
(ASA)
4) 
(CPCTC)
<u>Question 12</u>
1) Isosceles 
with 
, 
(given)
2) 
(angles opposite congruent sides in a triangle are congruent)
3) 
and 
are supplementary. 
and 
are supplementary (angles that form a linear pair are supplementary)
4) 
(supplements of congruent angles are congruent)
5) 
(SAS)
6) 
(CPCTC)
7) 
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>
Answer:
The y-intercept is (0,5)
Step-by-step explanation:
y-intercept can be found by plugging x=0 into given equation
f(x)=5(6)^0=5(1)=5
which same as given y-intercept (0,5)
√x+3 = 2
First we should simplify the equation by squaring both sides:
x + 3 = 4
Isolate x by taking 3 off both sides:
x = 1
We should ALWAYS check that our answer is correct after working out the value of x. We can do this by substituting x into the original equation:
√x + 3 = 2
Turns into:
√1 + 3 = 2
Which turns into:
√4 = 2
Which is true, therefore we can confirm:
x = 1
Area of wall = 9 * 12 = 108 ft^2
Width of TV = x
Lenght = 2x
Diagonal of TV = 72 " = 6 ft
x^2+(2x)^2=6^2
x^2+4x^2=36
5x^2=35
x^2=36/5
x=sqrt(36/5)
Width = 2.68 ft.
Length = 2.68 * 5.36 = 14.36 ft^2
Area of wall - area of tv = 108 - 14.36 = 93.64 ft
