Answer:
x = 29
Step-by-step explanation:
If the triangles are congruent, that means the corresponding angles are equal. (angles in the same spot in each triangle)
So we have 2x - 8 = 50
Now solve for x
2x = 58 (add 8 to both sides)
x = 29 (divide by 2 on both sides to isolate x)
The answer is not 29°, because you can see the ° sign on the outside of the parenthesis on the second triangle.
Answer:
D
Explanation:
A is the same thing as the statement, only that it says if the polygon is convex. Same thing for B. C could've worked if it said exterior instead of interior. D is basically the converse of the statement.
Answer:
There are a total number of 1656 students in the school.
Step-by-step explanation:
Let's set up this word problem in mathematical terms.
We can call the number of Left Handed Students as X,
and we can call the number of Right Handed Students as Y.
Since there are 276 more right handed pupils than left handed, we have the following equation:
X + 276 = Y -Equation 1
Also, since there are 5/12 ratio of left handed students and 7/12 right handed students, we get:
Total Students = T
(5/12) T = X -Equation 2
(7/12) T = Y -Equation 3
Substituting equations 2 and 3 into equation 1 we get:
Solving for Total number of students (T) we get:
T = 1656
The perfect square monomial and its square root are shown in options 1, 2, and 5.
- A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
- 1) 121, 11
- 11² = 121
- A perfect square monomial and its square root are represented by this equation.
- 2) 4x², 2x
- (2x)² = 4x²
- A perfect square monomial and its square root are represented by this equation.
- 3) 9x²-1, 3x-1
- (3x-1)² = 9x²- 6x +1
- This phrase does not depict a square monomial and its square root in perfect form.
- 4) 25x, 5x
- (5x)² = 25x²
- This phrase does not depict a square monomial and its square root in perfect form.
- 5) 49(x^4), 7x²
- (7x²)² = 49(x^4)
- A perfect square monomial and its square root are represented by this equation.
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