Find the value of x in the triangle shown below.
:

x = sqrt(45)

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

2^2 + x^2 = 7^2

4+x^2 = 49

Subtract 4 from each side

4-4+x^2 = 49-x

x^2 = 45

Take the square root of each side

sqrt(x^2) = sqrt(45)

x = sqrt(45)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950