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:
see explanation
Step-by-step explanation:
A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is
(x, y ) → (x - 3, y - 4 )
Thus
C(8, 3 ) → C'(8 - 3, 3 - 4 ) → C'(5, - 1 )
Answer:
d= -6
Step-by-step explanation:
56 = -8d + 8
1) You want to get d by itself. Subtract 8 from both sides.
56 = -8d + 8
- 8 - 8
<em>(8 - 8 = 0, and 56 - 8 is 48.)</em>
48 = -8d
2) Then, you divide my -8 on both sides.
(<em>48 / -8 is -6, and -8d / -8 is just d.)</em>
-6 = d
So, d = -6
Answer: 120
Step-by-step explanation:
Answer:
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Step-by-step explanation: