Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
Irrational numbers are the subset of real numbers that are not at all connected to the rest of numbers.
The subsets of real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.
Natural numbers are subset of whole numbers, which are subset of integers, which are subset of rational numbers. Hence, all of them are interconnected. The set of irrational numbers is the only subset of real numbers which is not associated with the rest.
For example:-
1 is a natural number, whole number, integer, rational number but not irrational number. On the other hand, is an irrational number but none of the rest.
To learn more about real numbers, here:-
brainly.com/question/551408
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Answer:
N*B*x/100
Step-by-step explanation:
To determine an equation of the total number of dollars, it is necessary to review the variables that influence
The most important, N that would be the number of shares of A.
The other variable is B, since it would be the price of the shares that were purchased.
Lastly, we have x, since he originally had was A's shares, therefore his increase occurred in A's shares, that is, x.
Therefore, the equation would be:
N * B * x / 100
It is divided by 100 since x is a percentage.
The answer is B. First solve the parentheses. Then make a quadratic equation and solve from there.