The length of FD = 0.76 feet.
Step-by-step explanation:
Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet
To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.
From the given data, θ=83°, 
and 
Substituting these values in the tangent formula, we get,
Using calculator, the value of 
and substituting and solving the equation, we get,
Thus, the length of FD = 0.76 feet.
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.
Answer:
-1,16 -2/8 -4/4 and the negatives on the other side. I hope that helps
Step-by-step explanation:
Answer:
The triangles Δ VWZ and Δ VXY are similar by AA criteria.
Step-by-step explanation:
See the attached diagram.
Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.
Therefore, 
So, line WZ divides the lines VY and VX in the same ratio 2 : 1.
So, Line WZ ║ Line XY
Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}
Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}
Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)
