Answer:
x=70
y= 40
Step-by-step explanation:
the triangle containing x is an isosceles triangle so two of the sides are 55. 
55+55+x=180. 
110+x=180
110-110+x=180-110 
x=70 
Triangle BAC is equilateral so 180/3=60. Now 
x+60+c=180
70+60+c=180
130+c=180
130-130+c=180-130
c=50
That gives us one corner of triangle CBD. We know a second angle is 90 so 
50+90+y=180
140+y=180
140-140+y=180-140
y=40
I think that is correct but you are free to check it yourself 
 
        
             
        
        
        
i)
Pythagorean's theorem: √50
j)
Pythagorean's theorem: √1/2
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Ok so the first one is X<31/3
And the second one is X>-5
 
        
             
        
        
        
Answer:
35°
Step-by-step explanation:
The base angles of an isosceles triangle are congruent , then
base angles =  =
 =  = 35°
 = 35°
 
        
             
        
        
        
Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)