30 + 2x = 90
2x = 60
x = 30
Answer:
x = 30
Answer:
54
Step-by-step explanation:
A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:
x° = 90° -36° = 54°
The value of x is 54.
Answer:
36
Step-by-step explanation:
Square roots have a neat property:
provided <em>a</em> and <em>b</em> are positive real numbers.
This property is what's behind simplifying square roots. You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.
Example:
.
In this problem, both factors are perfect squares.

Step-by-step explanation:
3(x + 1)(x + 7) − (2x + 5)²
3(x² + 8x + 7) − (4x² + 20x + 25)
3x² + 24x + 21 − 4x² − 20x − 25
-x² + 4x − 4
-(x² − 4x + 4)
-(x − 2)²
A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.
Answer:

Step-by-step explanation:
There is only one figure in the attached image and the solution (surface area) is as follows:
The shape can be sub-divided into:
1. Rectangle
Dimension: 40 by 35
2. Rectangle
Dimension: 40 by 28
3. Rectangle
Dimension: 21 by 40
4. 2 triangles
Base: 21 and Height: 28
Calculate area of each and add them up to get the surface area of the figure.
1. Rectangle
Dimension: 40 by 35

2. Rectangle
Dimension: 40 by 28

3. Rectangle
Dimension: 21 by 40

4. 2 triangles
Base: 21 and Height: 28

So, the area is:


Factor out 40


