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The value of x in D o,k (x,9) -> (-10,-6) is (d) 15
<h3>How to determine the value of x?</h3>
The dilation rule is given as:
D o,k (x,9) -> (-10,-6)
Write out the coordinates
(x,9) -> (-10,-6)
Express as fraction
x/9 = -10/-6
Multiply both sides by 9
x = -9 * 10/-6
Evaluate the product
x = 15
Hence, the value of x in D o,k (x,9) -> (-10,-6) is (d) 15
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A right triangle is a special type of triangle where one of the angles makes a right angle or has 90 degrees. The longest side is called as the hypotenuse. The sides can be related by the Pythagorean theorem but it would not be useful here since we are given an angle. Instead, we find other relations. The sides and the angles can also be related by trigonometric functions. For this case we use cosine given that the leg given is adjacent to the angle. We calculate as follows:
cosine 51 = 12 units / hypotenuse
hypotenuse = 19.07 units
The length of the hypotenuse would be about 19.07 units.
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The main parts of a proof are the statements and the reasons. The statements are things you want to prove, and the reasons are the justifications for the statements. Some parts of a proof will provide a given statement or a visual with some congruency
Step-by-step explanation: