Answer: m∠CAD = 81°
Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-

The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,

Hence, the constant of variation k for the direct variation is -0.5.
Answer:
The decimal that represents the shaded portion of the figure is 0.75.
Step-by-step explanation: