A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
elow is equal to the measure of the exterior angle.
In which step did the student first make a mistake and how can it be corrected?
In which step did the student first make a mistake and how can it be corrected?
1 answer:
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ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,
Which can be rewritten as
The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;
The quadratic formula is given by;
We now substitute all the values in to the formula;
We simplify to obtain;
We now split the plus or minus sign to obtain;
This implies that;
Or
This will evaluate to;
Hence, the positive solution rounded to the nearest hundredth is