Find the value of x in the figure below.. geometry ?

We know that the sum of the angles in a quadrilateral all add up to 360 degrees. Here, we know all the angle degrees, just indirectly. To get our answer, we can add up all the given expressions together and make it equal to 360 degrees.
x + (x + 22) + x + (x + 22) + 90 + 90 = 360
Now, combine like terms, the solve for x.
2x + 22 + 2x + 22 + 180 = 360
4x + 44 + 180 = 360
4x + 224 = 360
4x = 136
x = 34
Therefore, the value of x in this problem is 34. Hope this helped and have a great day!

Dis the answer for this question

a. geometricb. g[h] = (3/4)·g[h-1]; g[1] = 384c. g[h] = 384·(3/4)^(h-1)d. g[12] ≈ 16.2183 gallonse. g[12] ≈ 64.8732 quarts

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt