Answer:
x = 113
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
37+54+ x-24 = 180
Combine like terms
67+x = 180
Subtract 67 from each side
67-67+x = 180-67
x =113
For people to comprehend the structure of their world, congruence is a crucial mathematical concept. Young children's daily interactions with congruence enable them to build innate perceptions of this geometric relationship.
Congruent:
If the size and shape of two triangles are same, they are said to be congruent. Three equal sides and identical angles are shared by two congruent triangles with regard to one another. Corresponding Parts of Congruent Triangles are Congruent is referred to by the theorem CPCTC. According to the CPCTC theorem, whenever two triangles are congruent, then each of their corresponding parts are also congruent. In other words, if two or more triangles are congruent, then their corresponding sides and angles are also congruent or equivalent in size.
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Answer:
b. 
Step-by-step explanation:
Quadratic equations are suppose to be written as: 
so the new quadratic equation for this problem will be: 
Now rearrange the terms: 
Then use the Quadratic Formula to Solve for the Quadratic Equation
Quadratic Formula = 
Note: Ignore the A in the quadratic formula
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
a = 3
b = -7
c = -1
Evaluate The Exponent
Multiply The Numbers
Add The Numbers
Multiply The Numbers
