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3 years ago

6

How can you construct perpendicular lines and prove theorems about perpendicular lines

1 answer:

omeli [17]3 years ago

7 0

Answer:

See descriptions below.

Step-by-step explanation:

To construct a perpendicular bisector, draw a line segment. From each end of the line segment, draw arcs above and below which intersect from each side. Be sure to maintain the same radius on each. Where the arcs intersect above and below, mark points. Connect these two points. This is a perpendicular bisector.

To prove theorems about parallel lines, use angle relationships. For instance, when two parallel lines are cut by a transversal, specific angle are congruent. When these relationships are congruent, you must have parallel lines:

Alternate Interior
Alternate Exterior
Corresponding Angles
Same side interior add to 180

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Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get

Yuri [45]

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

<h3>How many sweets does Nathan gets?</h3>

Given that, Nathan shares out 12 sweets, he gives Yasmin 1 sweet for 3 sweets he buys.

Let the sweet be represented by x

For each x sweet for Yasmin, Nathan gets 3x sweets

Hence

x + 3x = 12

We solve for x

4x = 12

x = 12/4

x = 3

Hence;

Yasmin gets x sweet = 3

Nathan gets 3x sweets = 3 × 3 = 9

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

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Given f(x) = x − 7 and g(x) = x2 . Find g(f(−1)).

ivann1987 [24]

Answer:

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Step-by-step explanation:

$g(f(-1))$ can be found by first finding $f(-1)$ then taking that result and putting it into the function $g$ .

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$g(-8)$ was found by replacing $x$ in $x^2$ with $-8$ .

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