The figure suggests that the two sub-triangle are similar, because they are both right and the angle at the top is the same.
If that is the case, we can claim that the correspondent sides are in proportion:
![6\div 9 = x \div 8](https://tex.z-dn.net/?f=6%5Cdiv%209%20%3D%20x%20%5Cdiv%208)
Solving for x we have
![x = \dfrac{6\cdot 8}{9}=\dfrac{48}{9}=\dfrac{16}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B6%5Ccdot%208%7D%7B9%7D%3D%5Cdfrac%7B48%7D%7B9%7D%3D%5Cdfrac%7B16%7D%7B3%7D)
![2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } }](https://tex.z-dn.net/?f=2%5Cfrac%20%7B%201%20%7D%7B%202%20%7D%20%5Cquad%20divided%5Cquad%20by%5Cquad%205%5Cfrac%20%7B%201%20%7D%7B%203%20%7D%20%5C%5C%20%5C%5C%202%5Cfrac%20%7B%201%20%7D%7B%202%20%7D%20%3D2%2B%5Cfrac%20%7B%201%20%7D%7B%202%20%7D%20%3D%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%5C%5C%20%5C%5C%205%5Cfrac%20%7B%201%20%7D%7B%203%20%7D%20%3D5%2B%5Cfrac%20%7B%201%20%7D%7B%203%20%7D%20%3D%5Cfrac%20%7B%2015%2B1%20%7D%7B%203%20%7D%20%3D%5Cfrac%20%7B%2016%20%7D%7B%203%20%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cfrac%20%7B%20%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%20%7D%7B%20%5Cfrac%20%7B%2016%20%7D%7B%203%20%7D%20%20%7D%20)
We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.
![\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%20%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%20%7D%7B%20%5Cfrac%20%7B%2016%20%7D%7B%203%20%7D%20%20%7D%20%5Cquad%20%3D%5Cquad%20%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%5Ccdot%20%5Cfrac%20%7B%203%20%7D%7B%2016%20%7D%20%3D%5Cfrac%20%7B%205%5Ccdot%203%20%7D%7B%202%5Ccdot%2016%20%7D%20%3D%5Cfrac%20%7B%2015%20%7D%7B%2032%20%7D%20)
Let's equal this too 8/x
![\frac { 15 }{ 32 } =\frac { 8 }{ x }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%2015%20%7D%7B%2032%20%7D%20%3D%5Cfrac%20%7B%208%20%7D%7B%20x%20%7D%20)
Cross multiply.
![8\cdot 32=15\cdot x\\ \\ 256=15x](https://tex.z-dn.net/?f=8%5Ccdot%2032%3D15%5Ccdot%20x%5C%5C%20%5C%5C%20256%3D15x)
Divide both sides by 15.
Answer:
Velocity :D
Step-by-step explanation:
Answer:
79%
Step-by-step explanation:
<em><u>m</u></em><em><u>e</u></em><em><u>d</u></em><em><u>i</u></em><em><u>a</u></em><em><u>n</u></em><em><u> </u></em>is the middle no.
arrange the scores in descending order
72,74,76,(78,80),82,92,92
78+80, divide 2= 79%
<h3 />
Answer:
b(20) = 60
Step-by-step explanation:
Here, given that ;
b(x) = -2(x-50)
we want to find the value of b(20)
what we need to do is to simply substitute x for 20
That will be:
b(20) = -2(20-50)
b(20) = -2(-30)
b(20) = 60