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:
No
Step-by-step explanation:
To check if (2,3) is a solution to the system of equations, we simply have to plug the coordinate points into the two equations and see if it is valid.
(2,3) belongs in the first equation.
(2,3) does not belong in the second equation.
<u>Therefore, (2,3) is not a solution to this system of equations.</u>
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<em>I hope this helps! Let me know if you have any questions :)</em>
Answer:
x ≈ 61.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin15° = =
( multiply both sides by x )
x × sin15° = 16 ( divide both sides by sin15° )
x = ≈ 61.8 ( to the nearest tenth )