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:
Step-by-step explanation:
Required
Translate the statements to algebraic expression
Represent the power with x;
So, the left hand side is
<em>Power of 10: </em><em />
<em>Times n: </em><em />
<em />
The right hand side is:
<em>0.1515 * power of 10: </em><em />
Equate the right hand side to the left:
Hence;
<em>The required expression is </em><em />