Answer:
A
B D C graph of the triangle
statment/reasons
segment AD is an angle bicestor of angleBAC, AD is the hight of the triangle/Given
angleBAD=angleCAD/Def. of angle bicestor
AD=AD/Reflexive Property
angleADB=angleADC/Def. of Right Angle
triangleABD=triangleCAD/ASA
angleABD=angleACD/CPCTC
triangleABC is an isosceles triangle/Def. of isosceles triangles
Question
Which expressions are less than 7/8? Choose all answers that apply:
a) 7/8 x 9/15
b) 7/8 x 3/4
c) 7/8 x 9/9
d) 7/8 x 4/3
Answer:
a) 7/8 x 9/15
b) 7/8 x 3/4
Step-by-step explanation:
We are asked to find which expression are least than 7/8
Solving 7/8 = 0.875
We would evaluate the given option one after the other.
a) 7/8 x 9/15
= 63/120 = 0.525
b) 7/8 x 3/4
= 21/32 = 0.65625
c) 7/8 x 9/9
= 7/8 × 1 = 7/8 = 0.875
d) 7/8 x 4/3
= 7/6 = 1.1666666667
Therefore, from the above calculation, the expressions are less than 7/8 are
option a) a) 7/8 x 9/15 and b) 7/8 x 3/4
Step-by-step explanation:
x³ + x² − 14x − 24
x³ + x² − 20x + 6x − 24
x (x² + x − 20) + 6 (x − 4)
x (x + 5) (x − 4) + 6 (x − 4)
(x (x + 5) + 6) (x − 4)
(x² + 5x + 6) (x − 4)
(x + 2) (x + 3) (x − 4)
The other two factors are x + 2 and x + 3.
B should be the only correct answer.
An integer is a number that comprises of natural numbers like 0,1,2,3,4... so on and negative whole numbers like -1,-2,-3 and so on.
Multiplication Rules:
1. Product of two positive integers is always POSITIVE.
Eg: 
2. Product of two negative integers is always POSITIVE.
Eg: 
3. Product of a negative integer and a positive integer is always NEGATIVE.
Eg: 
Quotient Rules:
1. Positive integer divided by a positive integer is always POSITIVE.
Eg: 
2. Positive integer divided by negative integer or negative integer divided by a positive integer is always NEGATIVE.
Eg: 
3. Negative integer divided by a negative integer is always POSITIVE.
Eg: 
