Answer:
-3/4 g =x
Step-by-step explanation:
g=-4x/3
Multiply each side by 3
3g = -4/3 x *3
3g = -4x
Divide each side by -4
3/-4 g = -4x/-4
-3/4 g =x
Answer:
The area of △AON
and the area of △ABC is x. The area of △AON is one-sixth part of △ABC.
Step-by-step explanation:
Let the total area of △ABC be x.
A median of a triangle divides the area of a triangle in two equal parts.
Since AM are CN are medians, therefore the area of △ACN, △BCN, △ABM and △ATM are equal, i.e.,
.
A centroid is the intersection point of all medians of a triangle. A centroid divides each median in 2:1.
Since CN is median and O is the centroid of the triangle, therefore CO:ON is 2:1.
Draw a perpendicular on CN from A as shown in below figure. Let the height of the pendicular on CN from A be h.
![\frac{\text{Area of }\triangle ANO}{\text{Area of }\triangle ACN}=\frac{\frac{1}{2}\times ON\times h}{\frac{1}{2}\times CN\times h}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ANO%7D%7B%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ACN%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20ON%5Ctimes%20h%7D%7B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20CN%5Ctimes%20h%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Therefore the area of △AON is one-third of △ACN.
![\text{Area of }\triangle ANO=\frac{1}{3}\times\text{Area of }\triangle ACN](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ANO%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ACN)
![\text{Area of }\triangle ANO=\frac{1}{3}\times\frac{x}{2}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ANO%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5Cfrac%7Bx%7D%7B2%7D)
![\text{Area of }\triangle ANO=\frac{x}{6}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ANO%3D%5Cfrac%7Bx%7D%7B6%7D)
![\frac{\text{Area of }\triangle ANO}{\text{Area of }\triangle ABC}=\frac{(\frac{x}{6})}{x}=\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ANO%7D%7B%5Ctext%7BArea%20of%20%7D%5Ctriangle%20ABC%7D%3D%5Cfrac%7B%28%5Cfrac%7Bx%7D%7B6%7D%29%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B6%7D)
The area of ANO is
. Therefore the area of △AON is one-sixth part of △ABC.
The last one- its the only one that applies to the 4* rule.
Answer:
The length of XZ is 15 miles.
Step-by-step explanation:
Use Pythagorean Theorem to solve this problem
9² + 12² = C² Simplify the squares
81 + 144 = C² Add on the left side
225 = C² Take the square root of both sides
15 = C
If this answer is correct, please make me Brainliest!
Answer:
Assuming the similarity is that BC scales to EF, answer is
D. 1.5BC
Step-by-step explanation:
Because the triangles are smilar, AB/BC = DE/EF
If AB = 2BC
then DE = 2EF
but also DE = 3BC
so 2EF = 3BC
EF = 1.5BC