Answer:
<em>36:60:84</em>
<em>A : B : C</em>
<em>36° : 60° : 84°</em>
<em>A= 36°</em>
<em>B= 60°</em>
<em>C=84°</em>
Step-by-step explanation:
<em>3:5:7 =15</em>
<em>180÷15=12</em>
<em>3×12=36</em>
<em>36:x:y =180</em>
<em>5×12=60</em>
<em>36:60:y =180</em>
<em>7×12=84</em>
<em>36:60:84 =180</em>
Answer:
can be written as the single logarithm:

Step-by-step explanation:
Start by using in both terms of the expression the property of logarithm of a power that states:

so we recognize that the factor that multiplies each logarithmic expression, can be understood as the power of the argument of the function logarithm:

Then we use the property of logarithm of a product which states that:

So now we recognize the expression:

as the logarithm of the product:

which is finally a single logarithm as requested.
Answer:

Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:

Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:

Operating:

The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
