Answer:
Step-by-step explanation:
Let x = third side
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.
I don't see a drawing of the quadrilaterals, so I don't know what the perimeter of quadrilateral P is. But whatever the perimeter of P is, Q will be 1/3 of that. Perimeter is a length, so even though it may pertain to a 2-dimensional object, it is still a 1-dimensional, linear measure. When two objects are similar (same shape, but scaled up or down by a scale factor), all corresponding linear measures have the same scale factor.
If you were asked about area or volume, that would be a different matter. In the case of area, you would square the scale factor, and in the case of volume, you would cube the scale factor.
Answer: the tuition in 2020 is $502300
Step-by-step explanation:
The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500
The fee in 2018 is the 19th term of the sequence. Therefore,
T19 = $45,4120
n = 19
Therefore,
454120 = 20500 + (19 - 1) d
454120 - 20500 = 19d
18d = 433620
d = 24090
Therefore, an
equation that can be used to find the tuition y for x years after 2000 is
y = 20500 + 24090(x - 1)
Therefore, at 2020,
n = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Answer:A binomial expression has two terms. For example, 4x + 5, The degree of any polynomial refers to the term with the highest exponent on its variable. ... Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8
Step-by-step explanation:
Answer:
Option A - $ 40.00 - $9.50 - $4.25 - $5.00
Step-by-step explanation:
Given : Tu went to the movies. he bought 2 tickets for $ 9.50 each, popcorn for $ 5.00, and 2 drinks for $ 4.25 each. He give the clerk two $ 20.00 bills.
To find : Which expression can not be used to find the amount of changes Tu got?
Solution :
He give the clerk two $ 20.00 bills i.e. 
or 40
He bought 2 tickets for $ 9.50 each i.e. 
or -9.50-9.50
Popcorn for $ 5.00 i.e. 
2 drinks for $ 4.25 each i.e. 
or -4.35-4.25
The expression can not be used to find the amount of changes Tu got is
' $ 40.00 - $9.50 - $4.25 - $5.00'.
Therefore, option A is correct.
