Answer:
The width of the area model is equal to

Step-by-step explanation:
we know that
The area of a rectangular model is given by the formula
----> equation A
where
L is the length
W is the width
we have

Factor the expression

substitute the value of the Area in the equation A

In this problem
The greatest common factor of these terms is the length (L=5 units)
so
we can say that the width is equal to (2x^2-x+3)
therefore
The width of the area model is equal to

Answer:
∠ DFC = 80°
Step-by-step explanation:
See the attached figure.
Since BFE is a straight line so, ∠ BFA + ∠ AFE = 180°
Now, ∠ AFE is given to be 125°.
So, ∠ BFA = 180° - 125° = 55°
Now, AFD is a straight line. So, ∠ BFA + ∠ BFC + ∠ DFC = 180°
⇒ 55° + 45° + ∠ DFC = 180° {Since, ∠ BFC is given to be 45°}
⇒ ∠ DFC = 180° - 55° - 45° = 80° (Answer)
If Mark starts with 7 tickets, and Hannah gives him 6 more, then Mark has 13 tickets total. The equation for this problem looks like this:
7+6=13.
Mason, on the other hand, has none, because Hannah didn’t give him any, and the question never mentions him buying any.
The percent of decrease is 20% off
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is the number that is grouped with an unknown number represented by a letter.