<u>Answer:</u>
An obtuse triangle has two angles 45 and 18. The value of the unknown angle is 
<u>Solution:</u>
Given that two angles of an obtuse triangle is 45 and 18.
Third angle is θ
We are asked to find the value of third unknown angle theta
According to <em>angle sum property of triangle</em>, sum of three angles of triangle is 
This means in our case sum of 45, 18 and θ should be 

Hence value of unknown third angle of an obtuse triangle is
Answer:
<u>(1, 18)</u>
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be 
And the kitten weight = 
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:




<em>Multiplying both sides by 2 we get:</em>
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<em>Adding both sides by 6 we get:</em>
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<em>Dividing both sides by 3 we get:</em>
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<em>The weight of cat = 14 pounds.</em>
Substituting the value of
to get the kitten's weight:

<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.