Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)
With this, we will found that the answer is k = 13
Let's do the math, for the initial information we can write:
(4k - 7)° + 90° + (3k + 6°) = 180°
Where the 90° comes from the right angle, the one written with a little square.
Now we can solve this for k
(4k - 7)° + 90° + (3k + 6°) = 180°
(4k + 3k)° + (-7° + 90° + 6°) = 180°
7°k + 89° = 180°
7°k = 180° - 89° = 91°
k = 91°/7° = 13
So we found that the value of k is 13.
If you want to learn more, you can read:
brainly.com/question/13690593
Answer:
16 cm
Step-by-step explanation:
Circumference of a circle
We are told that the string is wound symmetrically around a circular rod.
Now, the circumference of the rod is 4 cm and length is 12 cm.
Now, circumference is also the length of a circle. Thus, one wound of the string will be equal to the circumference of the rod.
Thus, one wound = 4 cm
Since the string makes 4 turns about the rod, then;
Length of string = 4 × 4 = 16 cm
hopes this helps ya out
Answer:
3(x + 8) = 6
Step-by-step explanation:
let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is
3(x + 8) = 6 ( divide both sides by 3 )
x + 8 = 2 ( subtract 8 from both sides )
x = - 6
the number x is - 6
No, because if you multiply the numerator and denominator of 4/6 by 2, you get 8/12, which is bigger than 4/12.