Given that 3(x - 1) - 2(x - 1) = 7, the value of x is

The value of x in the given algebraic expression is 12

An algebraic expression is an expression that usually comprises integers, real numbers, variables, and arithmetic operations. The purpose of the given expression is to find the value of x.

Given that:

3(x - 1) - 2(x - 1) = 7

Open the brackets;

3x - 3 - 2x - 2 = 7

Collect like terms

3x - 2x - 3 - 2 = 7

x - 5 = 7

x = 7 + 5

x = 12

Therefore, the value of x in the given algebraic expression is 12

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8

please see the attached picture for full solution

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Good luck on your assignment

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).