<span>The letters BE GJ LO QT forms a sequence in which the first letter of each term is formed by counting five alphabets from the first letter of the preceding term while the last letter of each term is also formed by counting five alphabets from the last letter of the preceding term.
Therefore, the next term in the sequence is VY.</span>
Answer:
B
Step-by-step explanation:
SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.
This is confusing to explain, if you have any questions post them in the comments.
Answer:
On combining the beads they can make 20 bracelets.
Step-by-step explanation:
The number of beads Samantha has = 54 beads
Number of beads Amanda has = 2 x( Number of beads Samantha has)
= 2 x 54 = 108 beads
The total number of beads Amanda and Samantha has
= 54 beads + 108 beads
= 162 beads
Number of beads required to make 1 bracelet = 8 beads
Now, 
=
≈ 20
or, the total number of bracelets they can make is 20.
Hence, on combining the beads they can make 20 bracelets .
Answer:
The number of cases in the year 2010 is 266.
Step-by-step explanation:
An exponential function is one that the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)=aˣ
being a positive real, a> 0, and different from 1, a ≠ 1.
In this case:

where t is the number of years since 1960 and e is an irrational number of which it is not possible to know its exact value because it has infinite decimal places. The first figures are 2,7182818284590452353602874713527 and is often called the Euler's number. e is the base of natural logarithms.
In this case, you want to know the number of cases r (t) in 2010. So, to know t you must know how many years have passed since 1960. For that, you can simply do the following subtraction: 2010-1960 and you get as a result : 50.
Replacing in the exponential expression r (t):

Solving:
r(t)=265.79 ≅ 266
<u><em>The number of cases in the year 2010 is 266.</em></u>
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Area of a rectangle:
A rectangle has width
and length
. The area is the multiplication of these measures, that is:

The length of a rectangle is the sum of the width and one.
This means that
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So



Quadratic equation with
. So



Since the length is a positive measure, the length of the rectangle is of 9 units.