Find the value of x. round the answer to the nearest tenth, if needed. a. 4.8 b. 5.1 c. 8.2 d. 9.5

The answer is D

Step-by-step explanation:

In order to determine the "x" value, we use the thales theorem.

This theorem makes equalities between the sides and angles of a right triangle. I have attached an image that shows the  equality we need.

Let me explain the image:

Let AD be perpendicular to BC. We have ∠ABC=∠DBA and  ∠BAC=∠BDA=90°

So, hence by Thales theorem we have

:

In this case, AB=x ; BD=7 and BC=13.

Then:

Finally, the "x" value is 9.5

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.