step 1: open brackets n rmb to flip the signs
step 2 (optional): rearrange to make the equation clearer to add/minus
length of 3rd side:
(8x + 3) - (2x + 1) -(5x + 2)
= 8x + 3 - 2x -1 - 5x -2
= 8x -2x -5x +3 -1 -2
= x
Therefore, length of 3rd side is X cm.
---
If perimeter = 75cm,
8x +3 = 75
8x = 75-3
8x = 72
x = 9 cm
Therefore,
1st side = 2(9) +1
= 19 cm
2nd side = 5(9) +2
= 47 cm
3rd side = 9 cm
Answer:
Domain: 
Range: 
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following:
, because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
Answer:
see the explanation
Step-by-step explanation:
we know that
A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid
Because
<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees
so
If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary
so
If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary
so
If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel
so
If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.
80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:
97200/80 = $1,215.
More can be learned about proportions at brainly.com/question/24372153
Answer:
B. Train B
Step-by-step explanation:
We are told that Milford and Pinkerton is 300 miles away.
Train A leaves Milford at 10:00 am. There are 3 hours between 10:00 am to 1:00 pm. So let us find distance traveled by train A in 3 hours.



Since train A will cover 270 miles in 3 hours and distance between Milford and Pinkerton is 300 miles, therefore, train A will not arrive Pinkerton before 1:00 pm.
Since there are 5 hours between 8:00 am to 1:00 pm, so let us find distance traveled by train B in 5 hours.


Since train B will cover 350 miles in 5 hours, therefore, train B will arrive Pinkerton before 1:00 pm and option B is the correct choice.