Answer:
whooops no one had answered u from 50 min!
 
        
             
        
        
        
Answer: 
Step-by-step explanation:
 You have the equation  .
. 
 Then, to solve for the variable  from the equation you need:
 from the equation you need:
 Make the subtraction of the right side of the equation:
 (As the denominators are 1 and  , the least common denominator is
, the least common denominator is  )
)
 
 Multiply   to both sides:
 to both sides:
 
 Add  to both sides:
 to both sides:
 
 And finally divide both sides by  :
:
 
 
        
             
        
        
        
Answer:
 or
 or  .
.
Step-by-step explanation:
We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is  .
.
The Commutative Property of Addition states that we can add numbers in any order. For example a and b be two numbers.
According to Commutative Property of Addition  .
.
Similarly, we can write an equivalent expression to our given expression as:

We can simplify our expression as:
 .
.
Therefore, our required expression would be  or
 or  .
.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
By triangle sum theorem, 
Sum of all angles of a triangle is 180°.
m∠1 + m∠2 + m∠3 = 180°
(m∠1 + m∠3) + m∠2 = 180°
2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]
2(m∠1) = 110°
m∠1 = 55°
Therefore, m∠1 = m∠3 = 55° 
 
        
             
        
        
        
Hello, 
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles. 
Abbreviations: 
SSS = Side-Side-Side 
SAS = Side-Angle-Side
ASA = Angle-Side-Angle 
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg 
* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work. 
(9.) ASA 
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side) 
(13.) ASA
(14.) SAS
(15.) HL