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:
x=22.5
Step-by-step explanation:
Make a ratio
The names of the triangle help with this.
AB is similar to FG, and AC is similar to FH (the missing side)
6/15 = 9/x
cross multiply
6x=135
divide both sides by 6
x=22.5
Answer:
D. 150 pounds
Step-by-step explanation:
For be directly proportional, it has to be that as one value increases the other does it equally, so
If 138 pound box has a volume of 23 gallons for 25 gallons ?. For being directly proportional tha value must be higest
138 → 23 
x → 25
Answer:
-27.5
Step-by-step explanation:
B cause you take y times it by the circumference