Answer:
Yes.
Step-by-step explanation:
Because sides are parallel, corresponding angles are congruent (angle W = angle V and angle U = angle T). By the third angle theorem (or you can use the reflexive property if that's easier), angle S = angle S. To determine triangles as similar, all angles must be congruent, and all sides must be equally proportional. This is true here because all of the angles are equal, so all of the sides must be proportional (I don't remember the theorem here)
To get the answer of x, use the proportional formula (UW/TV = US/TS). So (12/3)=(9/x), 4 = 9/x, 4x = 9, x = 9/4.
brittany would be 10 years old because
if jazmine is 15 years older than alyssa than alyssa would be 20
and then alyssa is twice as old as brittany
so britany is 10 years old because 10x2=20
Answer:stop cheating
Step-by-step explanation: study
Answer:
the length of base and height of shed are 9 cm and 18 cm respectively.
Step-by-step explanation:
let the length of the base be = x ft ( the base is square)
and height be = y ft
given volume o the shed = 1458 cm^3
⇒ ![x^2y= 1458](https://tex.z-dn.net/?f=x%5E2y%3D%201458)
also, according to question total cost C
![C= 4x^2+6x^2+4xy\times2.5](https://tex.z-dn.net/?f=C%3D%204x%5E2%2B6x%5E2%2B4xy%5Ctimes2.5)
![C= 10x^{2}+ 10x\times y](https://tex.z-dn.net/?f=C%3D%2010x%5E%7B2%7D%2B%2010x%5Ctimes%20y)
now put y= 1428/x^2 in the above equation
![C= 10 x^{2}+\frac{14580}{x}](https://tex.z-dn.net/?f=C%3D%2010%20x%5E%7B2%7D%2B%5Cfrac%7B14580%7D%7Bx%7D)
now differentiating we get
![C'= 20 x-\frac{14580}{x^{2}}](https://tex.z-dn.net/?f=C%27%3D%20%2020%20x-%5Cfrac%7B14580%7D%7Bx%5E%7B2%7D%7D)
now set it equal to zero for most economical cost
![20 x =\frac{14580}{x^{2}}](https://tex.z-dn.net/?f=20%20x%20%3D%5Cfrac%7B14580%7D%7Bx%5E%7B2%7D%7D)
on calculating we get x= 9 cm
and y= 18 cm
therefore, the length of base and height of shed are 9 cm and 18 cm respectively.
15.95
time length by height my dude