Answer:
There are 31 polygons in total used to make the tessellation and the ones that make number 17 up are:
Pentagons, triangles, and hexagons.
The ones that make up number 18 are:
Pentagons, squares, and triangles.
Step-by-step explanation:
Bearing in mind that a rectangle has a perimeter of length + length + width + width.
P = perimeter
L = length
x=width
P = 2L + 2x
P = 2(L+x) <==== perimeter of the base of the box.
check the picture below.
Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

By cross multiply we get;

Simplify:

Divide both sides by 3 we get;

Simplify:
x = 25 units
Therefore, the value of x is 25 units.
Answer:
D
Step-by-step explanation:
Let x be Bill’s scores.
Let y be Theo’s scores.
x + y = 90
x² = y
Solve for x in the second equation.
x = √y
Put x as √y in the first equation and solve for y.
√y + y = 90
√y = 90 - y
y = (90 - y)²
y = - y² - 180y - 8100
0 = -y² - 181y - 8100
0 = (-y+81)(y-100)
-y+81=0
y = 81
y - 100 = 0
y = 100
100 does not work if we plug in to check, so y is 81.
y = 81
Put y as 81 in the first equation and solve for x.
x + 81 = 90
x = 9
Bill scored 9 goals and Theo scored 81.