There is 12 1/12 of snack mix left.
The expression for length of rectangle is (x - 16) units
<h3><u>Solution:</u></h3>
Given that area of a rectangle is represented by 
square units
width of the rectangle is represented by (x+2) units
To find: length of the rectangle
<em><u>The area of rectangle is given as:</u></em>
Substituting the values in formula, we get
---- eqn 1
Let us first factorise the L.H.S of eqn 1
Break the expression into groups
Now substitute the above value in eqn 1
Length = x - 16
Thus the expression for length of rectangle is (x - 16) units
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
==========================================================
Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Answer:
4
Step-by-step explanation:
six in total, ended up cooking two.
Volume of square pyramid = a²h / 3
Surface area of square pyramid = a² +2a √((a²/4) + h²)
a = base edge
h = height
for the large pyramid;
volume = 648 m³
height = 24 m
Volume = a²h / 3
648 m³ = a² x 24 m / 3
a² = 81 m²
a = 9 m
by applying surface area equation to the large pyramid,
surface area = a² +2a √((a²/4) + h²)
= 9² + 2 x 9 √((9² / 4 ) + 24²
= 520.53 m²
hence surface area of large pyramid = 520.53 m²
