Answer: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the constant of proportionality.
In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.
With this information you can write the following equation:
According to the exercise, the constant of proportionality is:
Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
Answer:
0.97
Step-by-step explanation:
You only have to divide 4.85 by 5 and you will get the unit price.✨ Trust me I get it right!
Answer:
Step-by-step explanation:
12x - 3 = 180 - (7x - 26) supplementary angles
19x = 209
x = 11
m∠DEC = 12(11) - 3 = 129°
m∠BCE = 7(11) - 26 = 51°
M∠ADE = 129 - 72 = 57° exterior angle rule
m∠EDB = 180 - 57 = 123° supplementary angles
m∠DBC = 57° corresponding angle to ADE
Answer:
wire left for square = 100 - (14+14+4+4) cm
= (100 - 36) cm
= 64 cm
so
side of square = 64/4 = 16 cm
