1) 56 pennies
2) 36 pennies
3) 14 dimes
4) 4 quarters
5) 5 nickels
Answer:
x=9
Step-by-step explanation:
All measurements of the interior angles equals up to 180 degrees when added together, therefore add them all together and set it equal to 180.
7x+2+4x+7+8x=180
-Combine like terms
19x+9=180
-Subtract 9 on both sides
19x=171
-Divide by 19
x=9
The true statements are:
- Tyson's expression is not equivalent to the original expression
- The equivalent expression is:
![\frac{1}{2}g- \frac 1{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dg-%20%5Cfrac%201%7B5%7D)
<h3>What are equivalent expressions?</h3>
Equivalent expressions are expressions that have equal values
The original expression is given as:
![\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%2015g-%20%5Cfrac%201%7B10%7D-%20g%20%2B%201%20%5Cfrac%7B3%7D%7B10%7Dg%20-%5Cfrac%7B1%7D%7B10%7D)
Collect like terms
![\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10} = \frac 15g - g + 1 \frac{3}{10}g- \frac 1{10} -\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%2015g-%20%5Cfrac%201%7B10%7D-%20g%20%2B%201%20%5Cfrac%7B3%7D%7B10%7Dg%20-%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%2015g%20-%20g%20%2B%201%20%5Cfrac%7B3%7D%7B10%7Dg-%20%5Cfrac%201%7B10%7D%20%20-%5Cfrac%7B1%7D%7B10%7D)
Evaluate the like terms
![\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10} = \frac{1}{2}g- \frac 1{5}](https://tex.z-dn.net/?f=%5Cfrac%2015g-%20%5Cfrac%201%7B10%7D-%20g%20%2B%201%20%5Cfrac%7B3%7D%7B10%7Dg%20-%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7Dg-%20%5Cfrac%201%7B5%7D)
Tyler's equivalent expression is given as:
![\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac15g-g%2B%201%20%5Cfrac3%7B10%7Dg-%5Cfrac%201%7B10%7D-%5Cfrac%2045g%2B1%20%5Cfrac%7B1%7D%7B10%7D)
Collect like terms
![\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10} = \frac15g-g+ 1 \frac3{10}g-\frac 45g-\frac 1{10}+1 \frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac15g-g%2B%201%20%5Cfrac3%7B10%7Dg-%5Cfrac%201%7B10%7D-%5Cfrac%2045g%2B1%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac15g-g%2B%201%20%5Cfrac3%7B10%7Dg-%5Cfrac%2045g-%5Cfrac%201%7B10%7D%2B1%20%5Cfrac%7B1%7D%7B10%7D)
Evaluate the like terms
![\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10} = -\frac 3{10}g](https://tex.z-dn.net/?f=%5Cfrac15g-g%2B%201%20%5Cfrac3%7B10%7Dg-%5Cfrac%201%7B10%7D-%5Cfrac%2045g%2B1%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20-%5Cfrac%203%7B10%7Dg)
The simplified expressions of the original expression, and Tyson's equivalent expressions are not equal.
Hence, Tyson's expression is not equivalent to the original expression
Read more about equivalent expressions at:
brainly.com/question/9603710