Answer: ∠ECB = 60°
Step-by-step explanation:
First, find the value of <em>x </em>by adding them up.
x + 3x + 2x = 6x
Since we know that all of the angles create a 180° angle, we can set up a proportion.
6x = 180°
To find the value of x, divide both sides by 6.
6x ÷ 6 = x
180 ÷ 6 = 30
So now the proportion is x = 30.
Now that we now x = 30, we can plug in 30 to the angle measures.
∠DCA = 30°
∠DCE = 90°
∠ECB = 60°
So angle ECB is 60°.
hope this helps!
The answer is going to be A) 9:14
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
Answer:
It is A: 11 to 1 :)
It's true!
(edited my answer btw, you have to simply also welp)
Answer:
c) 12/15 = 4/5
Step-by-step explanation:
imagine we mirror the triangle up, so that Z is on top.
then you can clearly see that 6 is cos(X) times r (and r is then 7.5).
XY is sin(X)×7.5
and again, 7.5 is r (the line making the X angle).
so, the cosine ratio of X is
6 = cos(X)×7.5
cos(X) = 6/7.5 or then 12/15. or simplified 4/5.