Which is a possible measure of DCA in the triangle below?
1 answer:
Answer:
70°
Step-by-step explanation:
The total angle in a triangle is 180°. The total angle in a straight line is 180°. From the image attached, the ∠DCA must be greater than 45° because ∠BCA is greater than 90°. This means that ∠DCA is not 36° or 38° or 40° but it is 70°.
Therefore ∠DCA = 70°.
∠BCA + ∠DCA = 180° (angle on a straight line)
∠BCA = 180 - ∠DCA = 180 - 70 = 110°
∠BCA + ∠BAC + 40 = 180° (angle in a triangle)
∠BAC = 180 - 110 - 40 = 30°
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Solution: The factor form of the given polynomial is .
Explanation:
To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.
The value of the function f(x) is 0 for , therefore
is a factor of given function.
Use synthetic method to divide the given polynomial for by . Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.
The bottom line shows the coefficients of the quotient polynomial.
So
Similarly is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.
Use synthetic method to divide the parenthesis polynomial for by . it is shown in figure 2.
So
Hence the factor form of the given polynomial is . The graph of the given function is given in figure 3.
