Answer: Angle XCB = 46 degrees ( ∠XCB = 46°)
Step-by-step explanation: Please refer to the picture attached for details.
A rhombus basically is a parallelogram with a diamond shape. All four sides have equal length, opposite sides are parallel and opposite angles are equal.
The sides have been labelled ABCD as stated in the question, and the point X is extended to point B to form angle XBC and also extended to point C to form angle XCB. Upon careful observation we shall notice that a triangle has been formed with sides BXC and angle X is a right angle, which measures 90 degrees.
The sum of angles in a triangle equals 180, therefore,
Angle XBC + Angle XCB + Angle X = 180
Substituting for the given values we now have the following;
4a + 12 + 6a - 2 + 90 = 180
10a + 10 + 90 = 180
10a + 100 = 180
Subtract 100 from both sides of the equation
10a = 80
Divide both sides of the equation 10
a = 8
If XCB = 6a - 2,
Substitute for the value of a
XCB = 6(8) - 2
XCB = 48 - 2
XCB = 46
Therefore angle XCB measures 46 degrees.
Answer:
I dont know
Step-by-step explanation:
I need to know what questions you need done because all of them is a lot.
Step-by-step explanation:
i think answer is 5 , 3-(-7)/1-(-1)
Y = -4x + 13
y = mx + c ; m = -4 , c = 13
Let m be M1,
(M1)(M2) = -1
-4 (M2) = -1
M2 = 1/4
At P (-1,-2),
y = mx + c ; y = -2 , m = 1/4 , x = -1 , c = ?
-2 = (1/4)(-1) + c
c = - 7/4
Hence , the equation of the line is y = x/4 - 7/4
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:
Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:
Finally, solve for x:
If you had 100 balloons, you will have
40 yellow balloons.
Hope this helps!!