Answer:
the value of x is 23 and y is 26
Since the diagonals of a rhombus intersect to form right angles, this means that angle ACE is 26 degrees. Since CE is the angle bisector of ACD, this means that ACD is 26 x 2 = 52 degrees. The diagonals are angle bisectors to the opposite corners, so ACD = ACB = 52 degrees, and BCD = 52 x 2 = 104 degrees. For a rhombus, opposite angles are equivalent, so BAD = BCD = 104 degrees.
Answer:
(15,0) , (0,6)
Step-by-step explanation:
Same concept as the previous 2 questions.
x-intercept is where the line touches the x-axis, and y = 0.
when y = 0,
12x + 30(0) = 180
12x = 180
x =
x = 15
Therefore the coordinates of the x-intercept is (15,0)
y-intercept is where the line touches the y-axis, and x = 0.
when x = 0,
12(0) + 30y = 180
30y = 180
y =
y = 6
Therefore the coordinates of the y-intercept is (0,6)