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Answer 1

Answer:

1) 1

2) 9

3) 65 degree

4) opposite angel of side of ∆.

5) 3x² + 4x - 6y +6

T/F :

1) T

2) T

3) T

4) T

5) F

Answer 2

Answers:

B. Fill in the blanks:

1. The sum of an integer and its additive inverse is always zero.

$\bf{Exp.}$ The additive inverse of any number is the number with its opposite sign. This means that the additive inverse of a positive number is negative and vice versa. The sum of the integer and its additive inverse is always zero.

2. The mean of the first 5 multiples of 3 is nine.

$\bf{Exp.}$ The first five multiples of 3 are 3,6,9,12 and 15.

Mean refers to the average of the numbers which can be found using the formula:

→ $\sf{\dfrac{Sum\:of\:all\:values}{No.\:of\:values}}$

$\sf{=\dfrac{3+6+9+12+15}{5}}$

$\sf{=\dfrac{45}{5}}$

= 9

3. Measure of the complement of angle of measure 25° is 65°.

$\bf{Exp.}$ We know that the sum of two complementary angles is 90°. To find the complement of angle 25°,

90° - 25° = Complement

Complement = 65°

4. A median connects the vertex of the triangle to the mid-point of the opposite side.

$\bf{Exp.}$ A vertex refers to the angle of a triangle. A line segment which is drawn from the vertex to the mid-point of the opposite side is known as a median.

5. The sum of x + y, 3x² - 4 and 3x - y + 6 is 4x + 3x² + 2.

$\bf{Exp.}$ x + y + 3x² - 4 + 3x - y + 6

= 4x + 3x² + 2

C. True or False

1. y³ - 1/y³ + 8 is a polynomial. --- False

$\bf{Exp.}$ This is because y³ cancel with y³ and only -1/8 is left which is not a polynomial.

2. The sum of angles of triangle is 180°. --- True

3. Sum of two rational numbers is always a rational number. --- True

4. Two circles having same circumference are congruent. --- True

5. A triangle may have two right angles. --- False

$\bf{Exp.}$ This is because when we add these two angles, the measure would be 180°. A triangle must have three angles and the sum of all these angles must be 180°. Hence the statement is false.