Consecutive numbers are always 1 away from each other
3,4
so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86
Answer:
Equation for x: 3x - 6 = 
x = 9
CD = 17
GH = 21
Step-by-step explanation:
The midsegment formula for a trapezoid is
GH = 
3x - 6 =
6x - 12 = 2x + 24
4x = 36
x = 9
CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17
GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21
Answer:
D
Step-by-step explanation:
The box plot for the Panthers is perfectly symmetric and the box plot for the Wolverines is skewed, but it is skewed in the positive direction.
Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5
