Answer:
12 inches
Step-by-step explanation:
Angles that create a triangle always add up to 180.
To find sides that create triangles, we have to use the Triangle Inequality Theorem.
It's where side A + B will <em>always</em> be greater than side C
and B + C will always be greater than side A
<em>and</em> A + C will always be greater than side B.
So let's check all of these answers and pick the one that's incorrect.
A.
10 + 25 + 145 = 180?
Correct!
B.
9 + 15 > 9?
Correct!
15 + 9 > 9?
Correct!
9 + 9 > 15?
Correct!
C.
40 + 70 + 60 = 180?
Incorrect! 40 + 70 + 60 = 175 which is less than 180.
The answer is three angles measuring 40 m, 70 m, and 60 m.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
70 / 35 = 2
So the 70 pound dog weights double the weight of the 35 pound dog, so he will eat twice as much.
2 x 2.5 = 5 cups
Meaning he will eat 5 cups of dry dog food a day.
By the same logic a 140 pound dog would have to eat twice what a 70 pound dog eats, that is 10 cups of dry dog food a day, so 7 1/2 cups are not enough.
Challenge: per pound a dog eats more than a cat. Since you know a 140 pound dog eats 10 cups, you can dive 140 by 10, to find out that each cup feeds 14 pounds, so half a cup would be the amount of food to feed a 7 pound dog, meaning that a dog weighing 1 pound less than a 8 pound cat would need the same amount of food, so it eats more than a cat.
5t = 25+2r
t = (25+2r)/5 or
t = 5 + (2/5)r
Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:
where a,b, and c are constants.
The factored form of a quadratic equation is:
Where 
and 
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
Operating:
Joining like terms:
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
