Answer:
3rd option (bottom left)
Step-by-step explanation:
Given :
- Area of the trapezium is 140 cm².
- Its height is 10 cm.
- One of the parallel side is 16 cm.
To Find :
Solution :
- Let the other parallel side be x
We know that,
![{ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%20%5C%3A%20%5Cpmb%7B%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20%28sum%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20parallel%20%5C%3A%20sides%29%20%5Ctimes%20height%7D%20%3D%20%5Cpmb%7BArea_%7B%28trapezium%29%7D%7D%7D)
Now, Substituting the given values in the formula :
![\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times (16 + x)\: \times 10 \: = {140}}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Csf%7B%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20%2816%20%2B%20x%29%5C%3A%20%5Ctimes%2010%20%5C%3A%20%3D%20%7B140%7D%7D%7D%7D)
![\qquad { \dashrightarrow \: { \sf{ 5 \times (16 + x)\ \: = {140}}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Csf%7B%205%20%5Ctimes%20%2816%20%2B%20x%29%5C%20%20%5C%3A%20%3D%20%7B140%7D%7D%7D%7D)
![\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Csf%7B%2080%20%2B%205x%20%3D%20%7B140%7D%7D%7D%7D)
![\qquad { \dashrightarrow \: { \sf{ 5x = {140 - 80}}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Csf%7B%20%205x%20%3D%20%7B140%20-%2080%7D%7D%7D%7D)
![\qquad { \dashrightarrow \: { \sf{ 5x = {60}}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Csf%7B%20%205x%20%3D%20%7B60%7D%7D%7D%7D)
![\qquad { \dashrightarrow \: { \sf{ x = { \dfrac{60}{5} }}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Csf%7B%20%20x%20%3D%20%7B%20%5Cdfrac%7B60%7D%7B5%7D%20%7D%7D%7D%7D)
![\qquad { \dashrightarrow \: { \pmb{ x = { 12 }}}}](https://tex.z-dn.net/?f=%5Cqquad%20%7B%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Cpmb%7B%20%20x%20%3D%20%7B%2012%20%7D%7D%7D%7D)
Therefore,
- The other parallel side of the trapezium is 12 cm.
Answer:
Inequality: 50-1.99x=30
She has 10 days.
Step-by-step explanation:
So, she starts off with with $50. From there, she is buying songs that are $1.99 (everyday). You could do this multiple ways:
Guess and Check, or use Algebra.
But for Algebra:
If we graph this out, the y intercept would be (0, 50), because she is starting out with $50. From there, she is spending 1.99 each day, so the slope would be 1.99/1. So basically, we would write this as 50-1.99x (that is the expression).
We would also set this equal to 30, because we are trying to see how many days it would take to still keep her balance above $30, but make it as close to 30 as possible. (x represents the # of days.
So the inequality would be 50-1.99x=30
And, when we isolate the variable and solve, we would see that she can buy a total of 10 songs over 10 days. (So basically, she has 10 days to stay over $30).
Answer:
it is very very tall hfhfhfudddhehhd
Step-by-step explanation:
hejrjrneudehshheeundjdjdjsjsjsjdususisisisidusijdjsjejeushd7d jeep has 3AM in its not that serious rn im in the morning princess ❤i love it was the last one of my friends not yours and I love you so much I 3AM you so much and I don't know if you want me tk and I will never be a good friend and he was a prank but I was like that and he was so long for me to be a little sibling and he was so much better than you and he was a little upset caude and he was a little nervous and he just stays awake for me to get my hair done w each other for like that and he was so nervous and he just wanted the same