The formula of a midpoint of HX:
![M\left(\dfrac{x_H+x_X}{2},\ \dfrac{y_H+y_X}{2}\right)](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7Bx_H%2Bx_X%7D%7B2%7D%2C%5C%20%5Cdfrac%7By_H%2By_X%7D%7B2%7D%5Cright%29)
We have the points
![H\left(4\dfrac{1}{2},\ -4\deac{3}{4}\right),\ X\left(2\deac{1}{4},\ -2\dfrac{3}{4}\right)](https://tex.z-dn.net/?f=H%5Cleft%284%5Cdfrac%7B1%7D%7B2%7D%2C%5C%20-4%5Cdeac%7B3%7D%7B4%7D%5Cright%29%2C%5C%20X%5Cleft%282%5Cdeac%7B1%7D%7B4%7D%2C%5C%20-2%5Cdfrac%7B3%7D%7B4%7D%5Cright%29)
Substitute:
![x_M=\dfrac{4\frac{1}{2}+2\frac{1}{4}}{2}=\dfrac{4\frac{1\cdot2}{2\cdot2}+2\frac{1}{4}}{2}=\dfrac{4\frac{2}{4}+2\frac{1}{4}}{2}=\dfrac{(4+2)+\frac{2+1}{4}}{2}\\\\=\dfrac{6\frac{3}{4}}{2}=6\dfrac{3}{4}:2=\dfrac{6\cdot4+3}{4}\cdot\dfrac{1}{2}=\dfrac{27}{4\cdot2}=\dfrac{27}{8}=3\dfrac{3}{8}\\\\y_M=\dfrac{-4\frac{3}{4}+\left(-2\frac{3}{4}\right)}{2}=\dfrac{-(4+2)-\frac{3+3}{4}}{2}=\dfrac{-6\frac{6}{4}}{2}=-6\dfrac{3}{2}:2\\\\=-\dfrac{6\cdot2+3}{2}\cdot\dfrac{1}{2}=-\dfrac{15}{4}=-3\dfrac{3}{4}](https://tex.z-dn.net/?f=x_M%3D%5Cdfrac%7B4%5Cfrac%7B1%7D%7B2%7D%2B2%5Cfrac%7B1%7D%7B4%7D%7D%7B2%7D%3D%5Cdfrac%7B4%5Cfrac%7B1%5Ccdot2%7D%7B2%5Ccdot2%7D%2B2%5Cfrac%7B1%7D%7B4%7D%7D%7B2%7D%3D%5Cdfrac%7B4%5Cfrac%7B2%7D%7B4%7D%2B2%5Cfrac%7B1%7D%7B4%7D%7D%7B2%7D%3D%5Cdfrac%7B%284%2B2%29%2B%5Cfrac%7B2%2B1%7D%7B4%7D%7D%7B2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B6%5Cfrac%7B3%7D%7B4%7D%7D%7B2%7D%3D6%5Cdfrac%7B3%7D%7B4%7D%3A2%3D%5Cdfrac%7B6%5Ccdot4%2B3%7D%7B4%7D%5Ccdot%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B27%7D%7B4%5Ccdot2%7D%3D%5Cdfrac%7B27%7D%7B8%7D%3D3%5Cdfrac%7B3%7D%7B8%7D%5C%5C%5C%5Cy_M%3D%5Cdfrac%7B-4%5Cfrac%7B3%7D%7B4%7D%2B%5Cleft%28-2%5Cfrac%7B3%7D%7B4%7D%5Cright%29%7D%7B2%7D%3D%5Cdfrac%7B-%284%2B2%29-%5Cfrac%7B3%2B3%7D%7B4%7D%7D%7B2%7D%3D%5Cdfrac%7B-6%5Cfrac%7B6%7D%7B4%7D%7D%7B2%7D%3D-6%5Cdfrac%7B3%7D%7B2%7D%3A2%5C%5C%5C%5C%3D-%5Cdfrac%7B6%5Ccdot2%2B3%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B2%7D%3D-%5Cdfrac%7B15%7D%7B4%7D%3D-3%5Cdfrac%7B3%7D%7B4%7D)
Answer: ![M\left(3\deac{3}{8},\ -3\dfrac{3}{4}\right)](https://tex.z-dn.net/?f=M%5Cleft%283%5Cdeac%7B3%7D%7B8%7D%2C%5C%20-3%5Cdfrac%7B3%7D%7B4%7D%5Cright%29)
Answer:
timeline
Step-by-step explanation:
the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a
That would be 8. first parenthesis, then multiply, then subtract.
Answer:
ST=26
Step-by-step explanation:
RS+ST=RT
17+x+16=4x+3
x+33=4x+3
33-3=4x=x
3x=30
x=30/3
x=10
ST=x+16
ST=10+16
ST=26
Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) ×
( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) × ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )