Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° =
cos(50)° =
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° =
sin(23)° =
a = 15sin(23)°
a = 5.86
The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
<em><u>Solution:</u></em>
Given the statement:
Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen
Let us first understand the given statement,
Let the number be "x"
" sum of a number and four" means x + 4
"Three sets of a sum of a number and four" translated to 3(x + 4)
"sum of seven times the same number and thirteen" means 7x + 13
<em><u>Thus the algebraic expression for given statement is:</u></em>
<em><u>Using distributive property in above expression</u></em>
Therefore,
<em><u>Combine the like terms</u></em>
Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)