Answer:10√2
Step-by-step explanation:
∆ABC is a right angle triangle
Angle A + Angle B + angle C = 180
There angel B = 180-135= 45
Angle A = Angle B
Therefore AC= BC=10
By Pythagoras ppt AB^2=10^2 +10^2
 =100+100
 =√200
 =10√2
 
        
                    
             
        
        
        
Answer: k = -5
 explanation-
 distribute: -3k + -21 - 5k + 4= 23
combine: -8k -17 = 23
add 17 to both sides: -8k = 40
divide both sides by -8: k=-5
 
        
                    
             
        
        
        
Is it meaning the cereal is 25% off? If so then your answer would be $2.44
        
             
        
        
        
Answer:
A.  by the SAS postulate.
 by the SAS postulate. 
Step-by-step explanation:
We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.
We can see that side DF of triangle DEF is equal to side AC of triangle ABC.
We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.
The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.
Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.
 
        
             
        
        
        
Answer:
 Earth's Rotation
Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.