Please help me to understand

x = 57

Step-by-step explanation:

1. Look at the expression (x + 22). It's measurement the upper side of the lines. We know that if we add up all sides, we will get a full circle, or a value of 360. We know that if I extend the blue line to the left on the upper parallel line, it would equal 180 degrees.

We can express this as x + 22 = 180. Now lets look at the bottom equation, notice that the 2x - 13 is the missing side of x + 22. So we know:

x + 22 + 2x - 13 = 180

3x + 22 - 13 = 180

3x + 9 = 180

3x = 171

x = 57

2. We can check this by plugging it into our formula. x + 22 and 2x - 13. so 57 + 22 = 79 and 2(57) - 13 = 101. Add them together: 79 + 101 = 180.

3. We know this is true because both angles combined will be to form 180 degrees. For a better understanding, view the image I sent you. 1 = 3, and 4 = 2. Opposite angles are equal. In your equation, we have 3 and 8. we KNOW that 8 = 2. And we also know that adding up 2 + 3 MUST equal 180 degrees.

I hope this helps!

54

step-by-step explanation:

6x9

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!