Answer:
19 and 20
Step-by-step explanation:
let 'x' = first integer (smaller of the two)
let 'x+1' = next consecutive integer
6x = 7(x+1) - 26
6x = 7x + 7 - 26
6x = 7x - 19
-x = -19
x = 19
x+1 = 20
Check:
19(6) = 7(19+1) - 26
114 = 140 - 26
114 = 114
Answer:
option b
Step-by-step explanation:
The value of the complete equation is 5.1.
We have given the equation,
15.3 ÷ 3 = tenths + 3 15.3÷ 3 = tenths 15.3 ÷ 3
<h3>What is the equation?</h3>
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore we have,
Therefore the value of the complete equation is 5.1.
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Answer:
Step-by-step explanation:
Consider the sides of the 2 triangles formed by drawing the diagonal.
The adjacent sides either side of the right angle in one triangle are congruent (to the adjacent sides of the other ( definition of a square).
The diagonal is common to both triangles.
So the triangles are congruent by SSS.
We have:
Thus:
Adding
gives:
Factoring gives:
Thus, we have:
or
.
Note that because
, there will be no solutions
of the form
for positive integer
and solution
. So we find the basic values of
giving
.
For
with positive
,
(this can be seen easily from the unit circle. But
, a contradiction. So we examine the case in which
.
In this case,
. So this is the only solution to this equation.
Substituting this back in, we have
, as desired. So this is a valid solution.
Thus,
.