Answer: the percent of study group students from outside the state is 13%
Step-by-step explanation:
The total number of students in the young woman's study group that are from the town where the young woman's school is located is 7%
The total number of students in the young woman's study group that are from in-state (but not from the school's town) is 80%.
Since the rest are from outside the state, the percent of study group students from outside the state would be
100 - (80 + 7) = 100 - 87 = 13%
1. correct- factor: 4
2. correct- factor: 4
3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)
4. Incorrect
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
Answer:
<R=23°
Step-by-step explanation:
The sum of angles in a triangle is 180°
So, <R + <S + <T = 180°
<R+90°+67°=180°
<R+157°=180°
<R=23°