To solve this problem, we have to use the interior angles theorem which states that the sum of all three interior angles of a triangle must sum 180°.

Having said that, we express the following.

$75+x+2x=180$

Now, we solve for <em>x</em>.

$\begin{gathered} 75+3x=180 \\ 3x=180-75 \\ 3x=105 \\ x=\frac{105}{3} \\ x=35 \end{gathered}$

Then, we use this value to find the angle T.

$m\angle T=2x=2(35)=70$ <h2>Therefore, the angle T is equal to 70°.</h2>

7 0

1 year ago

The florida manatee population is 3,000 and is decreasing by 11% each year. Write a function for this situation.

stepan [7]

The required function of the situation is f(x) = 2670x.

Step-by-step explanation:

Given,

Population is = 3000

Evert year it is decreased by 11%.

To find the function of the given situation.

Formula

If the original population is a and is decreased by b% the population after 1 year will be a× $\frac{100-b}{100}$

After x year the population will be = a× $\frac{100-b}{100}$ ×x = $ax\frac{100-b}{100}$

Now,

Let after x years the population will be,

f(x) = 3000x× $\frac{100-11}{100}$

= 2670x

Hence,

The required function of the situation is f(x) = 2670x.

7 0

3 years ago

Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption

Sav [38]

2d hour- 10 puppies
3rd hour- 8 puppies
4th hour- 6 puppies
5th hour- 4 puppies
6th hour- 2 puppies

6 0

4 years ago