The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
The solution would be like
this for this specific problem:
<span><span>9 ! </span><span>
<span>------- </span>
<span>6 ! 3! </span>
<span>9 x 8 x 7 </span>
<span>-------------- </span>
<span>6 </span></span></span>
504 / 6 = 84
<span>So the value of 9C6 is <span>84.</span></span>
<span>If you have any other questions, please don’t hesitate to ask
again.</span>
Answer:
1303.45 cm
Step-by-step explanation:
The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.
Let x be the height of the tree. Setting the ratios equal, we get:
180/116 = x/840
Solve for x:
x = 840 * (180/116)
x ≈ 1303.45 cm
Answer:
53760
Step-by-step explanation:
12000 x 2 = 24000
24000 x .20 = 4800 this is the amount he gave to each of his sons
4800 x 3 = 14400 this is the amount he gave to his sons in total
24000 + 14400 = 38400
38400 x .40 = 15360 this is how much he gave to his wife
15360 + 38400 = 53760
Answer:
Therefore the ball strikes the ground 5.98 s after kick.
Step-by-step explanation:
Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation 
where h is height in feet and t is time in second.
When the ball touches the ground then the height will be zero.
i.e h(t)=0
Therefore
Since -2≠0 then 
[The solution of a quadratic equation ax²+bx+c=0 is
here a=8, b=-32 and c=-95]
![\Rightarrow t =\frac{-(-32)\pm\sqrt{(-32)^2-[4\times8\times(-95)]} }{2\times8}](https://tex.z-dn.net/?f=%5CRightarrow%20t%20%3D%5Cfrac%7B-%28-32%29%5Cpm%5Csqrt%7B%28-32%29%5E2-%5B4%5Ctimes8%5Ctimes%28-95%29%5D%7D%20%7D%7B2%5Ctimes8%7D)
Therefore t= 5.98 or -1.98
since time can not be negative So , t=5.98 s
Therefore the ball strikes the ground 5.98 s after kick.
