Answer:
Option C
A = 390 
Step-by-step explanation:
The image shows a figure composed of a rectangle and a triangle.
We know that the area of a rectangle is:
Ar = length * width
Then, using the data shown in the image, we have to:
Ar = 20(15) = 300
Then, the area of a triangle is:
So:
Finally the area of the figure is:
8 is the hypotenuse and x is the adjacent side to the 60-degree angle. This means that you would need cosine (adjacent over hypotenuse) or secant (hypotenuse over adjacent). Cosine is not an option so it's secant.
sec 60 degrees = 8/x
Next, in a 30 60 90 triangle, you know that the side lengths are 1, 1/2 and sqrt(3)/2. So the secant of 60 degrees is 1 divided by 1/2 which is 2.
So the answer is the first question: x = 4
Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
Answer:
x+15
Step-by-step explanation:
X stands for the number of cards the one person represent add 15 to the whatever number of cards you have.
