Please help!! Find the value of x in each case. Give reasons to justify your solutions!

x = 18

Step-by-step explanation:

We know that all of the angles inside a triangle add up to 180. We also know that angles WYZ and YWX are congruent because the lines of YZ and XW are parallel.

Knowing this, we can assume that 2x is equal to the angle YWX, which makes up the third angle in triangle YWX.

Now, if all the angles inside a triangle add up to 180, we can set up the equation 180 = (90) + (2x) + (3x - 5), and solve for x.

90 = 5x - 5

95 = 5x

x = 18

x = 19°

Step-by-step explanation:

The angles inside a triangle add up to 180. Angles WYZ and YWX are congruent since the YZ II XW. From this, we know that 2x is equal to angle YWX.

The equation

180 = (90) + (2x) + (3x - 5)

180 = 90-5 + 2x + 3x

180 = 85 + 5x

5x = 180 - 85

X = 95/5 = 19°

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.