Answer:
Step-by-step explanation:
Answer:
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
Step-by-step explanation:
Cost of k key chain=$2.49
Cost of p photo frames=$2.49
Cost of a T-shirt=$5.99
Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt
=2.49k + 2.49p + 5.99
Factorise
2.49 is common to both k and p
=2.49(k + p) + 5.99
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
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I am thinking A) Or B) because iPlease chose as best if i am wrong please don't be mad most of my stuff is correct
The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.
<h3>What is a rectangle?</h3>
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,
Area = (2x-4)(x+5)
= 2x² + 10x - 4x - 20
= 2x² +6x - 20
Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.
The complete question is:
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
- 2x² + 10x + 20
- 2x² + 6x + 20
- 2x² + 6x − 20
- 2x² − 4x − 20
The image of the rectangle is given below.
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