Answer:
m∠1=114
m∠2=66
Step-by-step explanation:
First, let's find the m∠2
∠2 is inside a triangle, and the angles in a triangle must add to 180 degrees.
So,
55+59+∠2=180
Add 55 and 59
114+∠2=180
We are trying to find ∠2, so we have to get it by itself.
114 is being added on to ∠2. To undo this, subtract 114 from both sides.
114-114+∠2=180-114
∠2=66
Now we know the m∠2, but we still have to find m∠1.
∠2 and ∠1 are on a straight line. This means they are supplementary angles and add to 180 degrees.
∠1+∠2=180
We know that ∠2 is 66, so we can substitute it in.
∠1+66=180
66 is being added onto ∠1. To undo this, subtract 66 from both sides.
∠1+66-66=180-66
∠1=114
Answer:
The value of r is 0.451
The percentage decrease is about 45.1%
Step-by-step explanation:
The given exponential function is 
Using the exponent rule, 
Now the value of 
Thus, we can rewrite the function as
Therefore, the function in form 
The value of r is 0.451
The percentage decrease is about 0.451 ×100 = 45.1%
<h2>19.63495408 inches²</h2>
Area of a circle = πr²
Diameter = 5
The radius is half the diameter.
Radius = 2.5
π × 2.5² = 19.63495408
Answer:96
Step-by-step explanation:
A; 480/16 = 30 students per classroom
B: 192/12 =16 students per classroom
we need x such that 
which means
(480-x )* 12 should be equal to (192+x) * 16
5,760 - 12x = 3,072+16x
5,760 - 3,072 = 12x + 16x
2,688 = 28x
x = 96
