Answer: 28.3 yards
Step-by-step explanation:
I would say 10+10+3, because it's a lot more easier.
7x10=70
Then you would double 70 to get 140.
7x3=21
140+21=161
Answer:
x = 16
Step-by-step explanation:
The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.
In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...
... m∠A +m∠B +m∠C = 180°
... (3x+6)° +50° +(9x -68)° = 180°
... 12x -12 = 180 . . . . . divide by °, collect terms
... x -1 = 15 . . . . . . . . . .divide by the coefficient of x
... x = 16 . . . . . . . . . . . add 1
_____
<em>Check</em>
m∠A = (3x+6)° = 54°
m∠C = (9x -68)° = 76°
The total of angles is 54° +50° +76° = 180°. . . . . as it should be
Answer:
324 cm^3
Step-by-step explanation:
Volume = l x w x h / 2
V = 12 x 6 x 9 / 2
V = 648 / 2
V = 324 cm^3
Set components equal:
![t = 8-s \\ 5-t = s-3 \\ 48 t^2 = s^2](https://tex.z-dn.net/?f=t%20%3D%208-s%20%5C%5C%20%205-t%20%3D%20s-3%20%5C%5C%20%2048%20t%5E2%20%3D%20s%5E2)
From this we find:
![t = 8-s \\ s = 4 \sqrt{3} t](https://tex.z-dn.net/?f=t%20%3D%208-s%20%5C%5C%20%20s%20%3D%20%204%20%5Csqrt%7B3%7D%20t)
Substitute and solve system:
![t = \frac{8}{1+4 \sqrt{3}} = 1.009 \\ \\ s = 8-t = 8 - 1.009 = 6.991](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B8%7D%7B1%2B4%20%5Csqrt%7B3%7D%7D%20%3D%201.009%20%20%5C%5C%20%5C%5C%20%20s%20%3D%208-t%20%3D%208%20-%201.009%20%3D%206.991)
The point where they intersect is: