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alexgriva [62]
3 years ago
9

Find the value of x

Mathematics
2 answers:
dem82 [27]3 years ago
7 0

Answer:

x = 147

Step-by-step explanation:

The three angles add to a full circle, so the sum of their measures is 360 degrees.

42 + (-124 + x) + 2x + 1 = 360

3x - 81 = 360

3x = 441

x = 147

Veronika [31]3 years ago
4 0

Answer:

x =147

Step-by-step explanation:

The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)

42+(-124+x) =360-(2x+1)

Combine like terms

x-82 =359-2x

Add 2x to each side

x-82+2x = 359

3x -82 = 359

Add 82 to each side

3x-82+82 = 359+82

3x = 441

Divide by 3

3x/3=441/3

x =441/3  or 147

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Answer:

Manuel made his first mistake in step 2 leading to the continuous mistakes

Final answer=185

Step-by-step explanation:

Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.

2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)

Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)

Step 2: -40 - 75 + 100 +

200

Step 3: -115 + 300

Step 4: 185

Manuel made his first error in step 2 by combining two different terms into one as he has done

(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)

Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)

Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405

He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.

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