Answer:
19
Step-by-step explanation:
Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.
(3x - 5) + 90 + 2x = 180
5x + 85 = 180
5x = 95
x = 19
 
        
             
        
        
        
Answer:
x intercept of CD = 17
Step-by-step explanation:
We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.
For that we need to find the equation of CD
we have coordinates of C , and hence if we have slope of CD we can find equation of CD
Slope of CD can be determine with the help of slope of AB as CD⊥ AB
So, the slope of CD 
Hence we start from determining slope of AB
slope is given as 


Hence 
There fore 
(∵  Product of Slopes of two perpendicular lines is always -1)
Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12) 




Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x 


Hence the x intercept is 17
 
        
             
        
        
        
There isn’t a picture but hopefully I can help u
        
             
        
        
        
Answer:
1/27
Step-by-step explanation:
There are 9 numbers between 0 and 8.  3 of them are less than 3 (0, 1, and 2), and 1 of them is 6.
The probability is therefore (3/9) (1/9) = 1/27.
 
        
             
        
        
        
Answer:
Pythagorean Theorem: c2 = a2 + b2
Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh 
Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2