If 
is the inverse of 
, then
which means
Solve for :
-16 + 3n = -(8 + 5n)
The - sign outside the parentheses acts as a -1, and so it is distributed to each term in the parentheses.
-16 + 3n = -8 - 5n
+16
3n = 8 - 5n
+5n
8n = 8
/8
n = 1
Answer:
a) <DXC and < CXB are complementary angles
b) Supplementary angles
<AXB and <DXB
<AXC and DXC
Step-by-step explanation:
Complementary angles: Two angles are complementary angles if their sum equals 90°
Supplementary angles: Two angles are Supplementary angles if their sum equals 180°
a) Name a pair of complementary angles
So, <DXC and < CXB are complementary angles
b) Name two Supplementary angles pair
<AXB and <DXB (their sum equals 180°)
<AXC and DXC ((their sum equals 180°))
Side lengths of the squares are x and y
4x+4y=52
divide both sides by 4 for simlicity
x+y=13
area is 89 so
x²+y²=89
ok
so
x+y=13
minus x both sides
y=13-x
sub that for y in other equation
x²+y²=89
x²+(13-x)²=89
x²+x²-26x+169=89
2x²-26x+169=89
minus 89 both sides
2x²-26x+80=0
undistribute 2
2(x²-13x+40)=0
factor
2(x-8)(x-5)=0
set to zero
x-8=0
x=8
x-5=0
x=5
x=5 or 8
find y
y=13-x
13-8=5
13-5=8
each square has side length of 5 or 8
perimiter is 4 times the area around so
5*4=20
8*4=32
the perimiters are 20cm and 32cm
= -36 4/9 + 10 2/9 - 18 2/9
= -26 2/9 - 18 2/9
= -44 4/9
Answer is A. -44 4/9
