Answers:measure angle x = 40°
measure angle y = 35°
measure angle z = 55°
Explanation:Part (a): getting angle x:In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°
Part (b): getting angle y:We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°
Part (c): getting angle z:In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°
Hope this helps :)
 
        
             
        
        
        
Answer:
Andre's height:  y < x < 164
Step-by-step explanation:
We will first of all convert each of the statements to mathematical inequalities, before we combine them.
Let Andre's height be = x
Lin's height be = y
The maths teacher's height = 164
Andre is a little taller than Lin:
x > y
Andre is shorter than their maths teacher, who is 164 centimetres
x<164
Combining the two inequalities, we have Andre's height as
y < x < 164
This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.
 
        
             
        
        
        
The Equation in terms of m, m^2+7m+10=0
What is substituting in the equation ?
 substituting means changing or replacing the values in the given equation.
Calculation:
 Given equation is (x^2+3)^2+7x^2+21=-10
             and m= X^2 + 3.
 make the given equation in the form X^2 + 3,
              now,
                      (x^2+3)^2+7x^2+21=-10
                      (x^2+3)^2+7(x^2+3)=-10
              where,
                       X^2 + 3= m
               after putting the value or replacing the values 
              we get, m^2+7m=-10
                        m^2+7m+10=0
           the above equation is in the form of "m".
The Equation in terms of m, m^2+7m+10=0
Leran more about substitution here:
brainly.com/question/24094293
#SPJ1
 
        
             
        
        
        
Answer:
to be honest idek
Step-by-step explanation:
 
        
             
        
        
        
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).
Step-by-step explanation: