7x - 1 + 6x - 1 = 180
13x - 2 = 180
13x = 182
x = 14
Answer:
Step-by-step explanation:
Surface area = lateral area + 2(area of base)
Lateral area = perimeter of base * height.
Because it is a isosceles right triangle, both sides are equal.
= 72
2
= 72. Divide both sides by 2
= 36. Square both sides.
x = 6.
So the perimeter of the base = 6 + 6 +
= 20.485281374239
Lateral area = 20.485281374239 * 7 = 143.397 
Area of base is (1/2)base * height.
(1/2)(6)(6) = 18
Using the surface area formula
surface area = 143.397 + 2(18) = 179.4 
Assuming 1 is written rotationally symmetrical, using 0,1,6,8,9 to make numbers that have a degree of symmetry of 2 (i.e. 180 degrees), we can say
one digit numbers: 0,1,8
two digit numbers: 11, 69, 96
(18 becomes 81, so not admissible, similarly for 19, 91,16,61, etc)
(00 is not considered generally as a two-digit number)
three digit numbers:
(000, 010, 080 are not considered generally as a three-digit number)
101, 609, 808, 906,
replace the middle digit successively by 1 and 8 gives
111, 619, 818, 916,
181, 689, 888, 986
for a total of 12 numbers
To figure this out, we need to use fractional proportions.
Currently, we have $120, the amount earned, and 2 days, the current rate.
Our fraction for this is: 120 / 2 = x / 6, x being the amount earned in 6 days.
Let's use a little technique to help us answer faster.
With our current money earned, 120, and our current days, 2, we can divide 120 by 2 to find out how many we earned in 1 day.
120 / 2 = 60.
We earned $60 per day.
With this formula, 60d, d being the amount of days, we can solve quicker.
We are solving for 6 days, so multiply $60 by 6 days.
60 x 6 = 360
Your proportion is :
120/2 : 360/6
I hope this helps!
Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2