Without more info you cannot answer this question numerically. What is the given value of x?
Let's write y = 5x + 7 as a function: f(x) = 5x + 7.
Now if x=1, f(1) = 5(1) + 7 = 12
If x= -10, f( -10) = 5(-10) + 7 = -50 + 7 = -43
and so on.
The given function is represented by the straight line graph through (0, 7) with slope of 5.
Answer:
35/12
Step-by-step explanation:
The tangent in a triangle is always the opposite side divided by the adjacent side. In this triangle, BC is the side opposite to angle a, and AC is the side adjacent to angle A.
However, we do not know what AC is, but we can use the pythagorean theorem to solve.
, which is 12 squared. Therefore, AC is 12 units in length.
Now we have all the sides of the triangle and we can divide the opposite side by the adjacent side. We get 35/12.
Hope this helps!
Let's draw a diagram of this room so it's easier to solve. (see the image I've included)
The perimeter is the length of all of the sides of the rectangle, so
8 + 8 + x + x = 40
Simplify
16 + 2x = 40
Subtract 16 from both sides
2x = 24
Divide by 2 on both sides
x = 12
The length of the rectangle is
12.
Hopefully this helps! If you don't understand or have more questions, feel free to DM me!! :)
The sum of exterior angles of ANY regular polygon is 360.
For example, the exterior angle of a square is 90 degrees time 4 vertices = 360 degrees.
The exterior angles of an equilateral triangle is 180-60=120, times 3 vertices = 360.
...and so on.
So we can use this fact to calculate the exterior angle of a REGULAR decagon, which is therefore 360/10=36 degrees.
According to the diagram, this angle (36 degrees) is the complement of x, so x=90-36=54 degrees.
Next, the interior angle is just the supplement of the exterior angle, namely
y=180-36=144 degrees.
BTW, if you would grant my wish, please put a Micky Mouse as your profile picture, and that, of course.....until you change it next time! :)
Answer:
4/3 (= 1 1/3)
Step-by-step explanation:
2/3 - (-2/3)
= 2/3 + 2/3
= (2+2) / 3
= 4/3
= 1 1/3