We appreciate your visit to Error Analysis G CO C 9 SMP 3 A student is given the following problem Two consecutive exterior angles have measures of tex 3x 50. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let's go through the problem step by step to find the correct solution.
We are given two consecutive exterior angles with measures [tex]\(3x + 50\)[/tex] and [tex]\(7x + 30\)[/tex]. The original solution attempts to set these angles equal, but that's incorrect. In reality, for exterior angles in a polygon, the sum of two consecutive exterior angles should be 360 degrees.
Here's how we should approach the problem:
1. Set up the equation:
[tex]\[
(3x + 50) + (7x + 30) = 360
\][/tex]
2. Combine like terms:
- Combine the [tex]\(x\)[/tex] terms: [tex]\(3x + 7x = 10x\)[/tex]
- Combine the constant terms: [tex]\(50 + 30 = 80\)[/tex]
Therefore, the equation becomes:
[tex]\[
10x + 80 = 360
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
- Subtract 80 from both sides to isolate terms with [tex]\(x\)[/tex]:
[tex]\[
10x = 360 - 80
\][/tex]
[tex]\[
10x = 280
\][/tex]
- Divide both sides by 10 to find [tex]\(x\)[/tex]:
[tex]\[
x = \frac{280}{10}
\][/tex]
[tex]\[
x = 28
\][/tex]
So, the correct value of [tex]\(x\)[/tex] is 28.
We are given two consecutive exterior angles with measures [tex]\(3x + 50\)[/tex] and [tex]\(7x + 30\)[/tex]. The original solution attempts to set these angles equal, but that's incorrect. In reality, for exterior angles in a polygon, the sum of two consecutive exterior angles should be 360 degrees.
Here's how we should approach the problem:
1. Set up the equation:
[tex]\[
(3x + 50) + (7x + 30) = 360
\][/tex]
2. Combine like terms:
- Combine the [tex]\(x\)[/tex] terms: [tex]\(3x + 7x = 10x\)[/tex]
- Combine the constant terms: [tex]\(50 + 30 = 80\)[/tex]
Therefore, the equation becomes:
[tex]\[
10x + 80 = 360
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
- Subtract 80 from both sides to isolate terms with [tex]\(x\)[/tex]:
[tex]\[
10x = 360 - 80
\][/tex]
[tex]\[
10x = 280
\][/tex]
- Divide both sides by 10 to find [tex]\(x\)[/tex]:
[tex]\[
x = \frac{280}{10}
\][/tex]
[tex]\[
x = 28
\][/tex]
So, the correct value of [tex]\(x\)[/tex] is 28.
Thanks for taking the time to read Error Analysis G CO C 9 SMP 3 A student is given the following problem Two consecutive exterior angles have measures of tex 3x 50. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
