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Anettt [7]
3 years ago
15

19 + 12k = –k − 20 solve for k

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

k=13

Step-by-step explanation:

19 + 12k = –k − 20

19+20=39=13k

k=13

Amiraneli [1.4K]3 years ago
7 0

Answer: -3

Step-by-step explanation:

Let's solve your equation step-by-step.

19+12k=−k−20

Step 1: Simplify both sides of the equation.

19+12k=−k−20

19+12k=−k+−20

12k+19=−k−20

Step 2: Add k to both sides.

12k+19+k=−k−20+k

13k+19=−20

Step 3: Subtract 19 from both sides.

13k+19−19=−20−19

13k=−39

Step 4: Divide both sides by 13.

13k /13 =  −39/13

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Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

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Mamont248 [21]

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