The sum of all three angles in any triangle is always 180 degrees. So in obtuse triangle there is only one obtuse angle (more than 90 degrees). If we have for example an obtuse angle of 91 degrees, then two other angles have to fit in 89 degrees which makes it impossible for any of them to be obtuse.

8 0

3 years ago

Suppose the movie theater you work at sells popcorn I'm three different sizes. A small cost $2, a medium cost $5, and a large co

VMariaS [17]

Let, number of small, medium and large popcorn sold are s, m and l respectively.

So, s + m + l = 250 ....1)

Also, l = 2s ....2)

Total sum = $1726 = 2s + 5m + 10l .....3)

Putting value of l from 2) to 1) is :

s + m + 2s = 250

m + 3s = 250

m = 250 - 3s ....4)

Putting value of m and l in terms of s in equation 3)

We get :

2s + 5( 250 - 3s ) + 20s = 1726

7s = 1726 - 1250

s = 68

l = 136

m = 250 -3(68) = 46

Now,

$P_s=68\times 2 = \$136\\\\P_m = 46\times 5 = \$230\\\\P_l = 136\times 10 = \$1360$

Hence, this is the required solution.

8 0

2 years ago

What is 1/3 divided by 1/9

vodka [1.7K]

Answer:

Step-by-step explanation:

1/3 / 1/9 =

1/3 x 9 =

6 0

3 years ago

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