Answer:
Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.
Step-by-step explanation:
We know that: in order to ride a roller coaster,a rider must be greater than 49 inches tall.Jeff is 45 inches tall.
We have the next inequalitythats:

Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answer:
B. 24d + 4; $76
Step-by-step explanation:
Part 1: If the online store charges $24 per DVD, this is the same as saying "24 multiplied by the number of DVDs bought".
It's given that "d" represents the number of DVDs
- So the first part of the variable expression is: 24d
If the online store also charges an additional $4 per <em>order,</em> that means that it's only $4 extra for the whole order. NOT per DVD you buy.
Part 2: If someone were to buy 3 DVDs, that would mean that d = 3.
To find the total cost, substitute 3 for d into the expression.
- 24d + 4
- 24(3) + 4
- 72 + 4 = 76
- Result: $76
D. Intersecting lines and lines that have the same equation.
Hope this helps :)
ANSWER
False
EXPLANATION
The tangent function has no amplitude because it is not bounded.
The given tangent function is

This is of the form
f(t)=a tan(bt)
The period is given by


The first statement is true but the second is false.
Hence the whole statement is false.