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°.
Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.
You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:
ft.
Answer: the height of the statue is 2.0565 ft.
Answer:
c.5
Step-by-step explanation:
5(3 + 2 + 8)
The number outside of the parenthesis is distributed to the numbers inside of the parenthesis
Answer:
<u>4 minutes</u>
Step-by-step explanation:
40=1 min
40=2 min
40=3 min
40=<u>4</u> min
40x4 or 40+40+40+40 is <u>160</u>
Answer: 38 feet.
Step-by-step explanation:
The equation of motion of a body thrown vertically upwards:
,

Substitute in formula (1) the value t=2 c:
