-4(3x + 6) is not equivalent to other expressions
<em><u>Solution:</u></em>
Let us use the distributive property to get the equivalent expression
<em><u>Distributive property is represented as:</u></em>
a(b + c) = ab + ac
<h3><u>First expression:</u></h3>
<h3><u>Second expression:</u></h3>
Using distributive property,
<h3><u>Third expression:</u></h3>
Solve the expression using distributive property
<h3><u>Fourth expression:</u></h3>
Thus fourth expression is not equivalent to other expressions
Perimiter=2L+2W
w=x
P=80
80=2L+2x
diviide by 2
40=L+x
40-L=x
40-x=L
the area is found by legnth times width
LW or Lx
for a maximum area, try to get the legnths of the sides the same
therefor
L=W=x for max area
40=x+x
40=2x
divide 2
20=x
max area =legnth times width=20^2=400
note: all squares are rectangles, but not all rectangles are squares
L=40-x
A=(40-x)(x)
max area=400 cm^2
Value of x when angles ABC and DBE are vertical angles where
M_ABC=(5x+ 5)° and m_DBE=(6x-3)° is 8°.
Vertical angles are complementary as there sum is 90°.
As given,
Part A:
Angles ABC and DBE are vertical angles m_ABC=(5x + 5)°
M¿DBE=(6x- 3)°
(5x+ 5\°=(6x - 31
=(6x - 5x)°=(5 +3)°
8°
Part B:
Vertical angles are complementary if there sum is 90°.
Here
m_ABC + m_DBE
5(8)+5 +6(8)-31°
= 90°
Answer:
16.9 km
Step-by-step explanation:
From the diagram attached, we can see that the problem forms a triangle.
So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.
Thus;
d² = 16.8² + 2.2²
d² = 282.24 + 4.84
d² = 287.08
d = √287.08
d = 16.9434
Approximating to the nearest tenth, we have;
d ≈ 16.9 km
The answer would be B
What you would do is 180-72= 108 degrees
