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3 years ago

30c2 - 24c - 6 factor the trionomial

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

Answer:

$6(5c + 1)(c - 1)$

Step-by-step explanation:

$30c^2 - 24c - 6 =$

$= 6(5c^2 - 4c - 1)$

$= 6(5c + 1)(c - 1)$

Answer: $6(5c + 1)(c - 1)$

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What is the measure of angle ACB?

s344n2d4d5 [400]

Answer:

Linear pair is a pair of adjacent angles formed when two lines intersect.

so, $\angle EAB$ and $\angle CAB$ are linear pairs.

Linear pairs are always supplementary.

therefore,

$\angle EAB+\angle CAB=180^{\circ}$ ......[1]

Also, it is given in figure, $\angle EAB = 108^{\circ}$

Substitute in [1], we get;

$108^{\circ}+\angle CAB=180^{\circ}$

Simplify:

$\angle CAB =180^{\circ}-108^{\circ}=72^{\circ}$

Exterior- Angle sum Property states that if the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

then by Exterior angle sum property ;

$\angle ACB+\angle CAB =\angle CBF$

Substitute the values given in the figure;

$\angle ACB+72^{\circ}=145^{\circ}$

simplify;

$\angle ACB =145-72 = 73^{\circ}$

therefore, the measure of angle ACB is, $73^{\circ}$

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