Answer:
Option (3) and Option (5)
Step-by-step explanation:
By the property of a triangle,
Sum of interior angles of a triangle is 180°.
m∠Q + m∠R + m∠S = 180°
By substituting the measures of angles in the equation,
(8x - 17)° + (19x + 4)° + (5x + 1)° = 180°
32x - 12 = 180
32x = 192
x = 6
m∠Q = (8x - 17)° = 48 - 17
= 31°
m∠R = (19x + 4)° = 114 + 4
= 118°
m∠S = (5x + 1) = 30 + 1
= 31°
Since, one interior angle measures 118° which is grater than 90°.
Therefore, triangle QRS is an obtuse triangle.
Since, m∠Q = m∠R = 31°
It's an isosceles triangle.
Option (3) and Option (5) are the correct options.
You're thinking b=1 will always give an integer, certainly true.
Then you think b=-1 will also always give an integer, so
Answer: ±1
Then you remember that a/b may not be a reduced fraction, so other bs beside the unit make give integers. The condition for an integer is
b | a
read 'b divides a' meaning a is a multiple of b.
Then you realize that a and b might not even b integers themselves.
Let's say the above answer is correct with the additional criteria that a and b are integers with no common factors.
Answer:
The correct option is;
a. 1
Step-by-step explanation:
Given that the origin (0, 0) is the corner of the square
The equation of one of the sides = 3·X + 4·Y + 5 = 0
Therefore, we have;
Y = -3/4·X - 5/4
Which gives the slope as -3/4 and the y-intercept as (0, -5/4)
The sloe of the perpendicular side from the origin to the given line is therefore = -(1/(3/4)) = 4/3
The y-intercept of the current particular perpendicular side = 0
The equation is therefore;
y = 4/3·x + 0
The coordinate of the point of intersection of the two sides of the square above is found by equating the two lines to each other as follows;
4/3·x = -3/4·X - 5/4
4/3·x + 3/4·X = -5/4
25/12·X = -5/4
X = -5/4×12/25 = -3/5
Y = 4/3·x = 4/3× (-3/5) =-4/5
The length of a side = √((-3, 5) - 0)² + ((-4, 5) - 0)² = √1 = 1
The area of a square = (Length of side) × (Length of side)
∴ The area of the square = 1 × 1 = 1
The area of the square = 1.
Answer:
69/8 :)
Step-by-step explanation:
17. 3x23/8
5.28....What you do is find the hundredth place then locate the number to the right of it. If the number is greater than 4, then you round the hundredth place up a number and if it is less than or equal to 4 then leave the hundredth place alone. but in this case we round it up because 5 is greater than 4 so change 7 to eight.
