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nlexa [21]
3 years ago
13

The area of a rectangular field is 2c3 − c2 + 6 square units. If the length of the field is c − 2 units, what is its width? The

width of the field is units. NextReset

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0
Area of the rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are given that:
area = <span>2c^3 − c^2 + 6 square units
length = c - 2 units

Substitute with the givens in the above equation and solve for the width as follows:
</span>Area of rectangle = length * width
2c^3 − c^2 + 6 = (c - 2) * width
width = (2c^3 − c^2 + 6) / (c - 2) units

Doing the long division for this one, we will find that the simplest form will be:
width = 2c^2 + 3c + 6 + [18/(c-2)]

Hope this helps :)
Note: The attached image shows the procedures of the long division for this problem :)

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Answer:

∠e = 105° because ∠e and the 105° angle are vertically opposite angles

∠h = 75° because ∠h and the 105° angle are supplementary angles

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles

∠b = 75° because ∠b and ∠f are corresponding angles

∠a = 105° because ∠a and ∠e are corresponding angles

∠d = 75° because ∠d and ∠h are corresponding angles

Step-by-step explanation:

The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines

By sing angle properties, we have;

∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal

∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal

Similarly, we have;

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∠a = ∠e = 105° because ∠a and ∠e are corresponding angles

∠d = ∠h = 75° because ∠d and ∠h are corresponding angles

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