So the question is asking to solve for y
You know RS=7y-4
You know ST=y+5
You know RT=28
RS+ST=RT as shown in the diagram, This means that you can use that equation and replace RS,ST, and RT with what you know they are equal too. So you end up with the equation:
(7y-4)+(y+5)=28, Now you have to solve for y
7y-4+y+5=28
8y+1=28
8y=27
y=3.375
This is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)
Answer: Each side of the triangle equals 7.11 centimeters
Step-by-step explanation: The question states that what we have is an equilateral triangle. That’s a triangle with all three sides equal. Having that in mind, if one side measures 2cm for example, then the other two sides measure 2cm as well. Hence if one side of the equilateral triangle measures x (the dimensions are still unknown), then the other two sides each measure x as well. If the perimeter of the triangle is given as 21.33 cm, and each side of the equilateral triangle is x, then
x + x + x = 21.33
3x = 21.33
Divide both sides of the equation by 3
x = 7.11
Therefore, each side of the equilateral triangle equals 7.11 cm
Answer :
the answer is $8
Step-by-step explanation: