Answer:
y=-5x+7
Step-by-step explanation:
Prallel lines have the same slope
so the slope of the unknown line is -5
and passes through(1,2)
y-2=-5(x-1)
slope-intercept form:y=-5x+7
Answer:
8 square units and
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor
then
![\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.](https://tex.z-dn.net/?f=%5Cdfrac%7BA_%7B%5Ctriangle%20FBG%7D%7D%7BA_%7B%5Ctriangle%20ABC%7D%7D%3D%5Cdfrac%7B1%7D%7B9%7D%5CRightarrow%20A_%7B%5Ctriangle%20FBG%7D%3D%5Cdfrac%7B1%7D%7B9%7D%5Ccdot%2024%3D%5Cdfrac%7B8%7D%7B3%7D%5C%20un%5E2.)
2. Triangles ABC and DBE are similar with scale factor
then
![\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.](https://tex.z-dn.net/?f=%5Cdfrac%7BA_%7B%5Ctriangle%20DBE%7D%7D%7BA_%7B%5Ctriangle%20ABC%7D%7D%3D%5Cdfrac%7B4%7D%7B9%7D%5CRightarrow%20A_%7B%5Ctriangle%20DBE%7D%3D%5Cdfrac%7B4%7D%7B9%7D%5Ccdot%2024%3D%5Cdfrac%7B32%7D%7B3%7D%5C%20un%5E2.)
3. Thus, the area of the quadrilateral DFGE is
![A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.](https://tex.z-dn.net/?f=A_%7BDFGE%7D%3DA_%7B%5Ctriangle%20DBE%7D-A_%7B%5Ctriangle%20FBG%7D%3D%5Cdfrac%7B32%7D%7B3%7D-%5Cdfrac%7B8%7D%7B3%7D%3D8%5C%20un%5E2.)
and the area of the quadrilateral ADEC is
![A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.](https://tex.z-dn.net/?f=A_%7BADEC%7D%3DA_%7B%5Ctriangle%20ABC%7D-A_%7B%5Ctriangle%20DBE%7D%3D24-%5Cdfrac%7B32%7D%7B3%7D%3D%5Cdfrac%7B40%7D%7B3%7D%5C%20un%5E2.)
Answer:
5x just means 5 times so, 5 times a number(or variable)plus three is less than 7 times a number variable)plus 7
Hey!! here is your answer --
1) tan30° = √3/3
2) cot30° = √3
3) sec30° = (2√3)/3
★ hope you like it ★
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No,
although all the sides are the same length on an equilateral triangle the height is calculated by a straight perpendicular line at the mid point of the base.
The sides are not perpendicular with the base and are angled outwards