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:
Associative property of addition
Step-by-step explanation:
To “associate” means to connect or join with something. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Answer:
See below
Step-by-step explanation:
Remark
Base angles of Isosceles triangles are equal.
Equation
That means that 8x + 14 = 14x - 15
Solution
8x + 14 = 14x - 15 Add 15 to both sides
8x + 14+15 = 14x Combine
8x + 29 = 14x Subtract 8x from both sides
8x - 8x + 29 = 14x - 8x Combine
29 = 6x Divide by 6
x = 29/6
x = 4 5/6
Answer
x = 4 5/6 or 4.833
8x + 14 = 8 * (4 5/6) + 14
8x + 14 = 38 2/3 + 14
8x + 14 = 52 2/3 or 52.6666
14x - 15 = 14 *(4 5/6) - 15
14x - 15 = 67 2/3 -15
14x - 15 = 52 2/3 or 52.666
Answer:B
Step-by-step explanation: the answer is B
