Use the figure to find x.

which problem can be solved using the same formula as the one used to solve this problem?

answer choices:

a) find the midpoint between points a(3, 5) and b(4, 6).
b) jason travels 50 miles in 45 minutes. what is his rate?
c) the area of a parallelogram is 40 square meters. if the base is 10 meters, what is the height?
d) the distance from the base of a house to the top of a tree is 40 yards. if the base of the tree is 20 yards from the base of the house, how tall is the tree?

√147 is your answer.

Step-by-step explanation:

Use the following formula: c² - b² = a²

In the formula, c = the hypotenuse (14), b = a side (7), a = the last side (x).

Set the equation: (14)² - (7)² = a²

Simplify: (14 * 14) - (7 * 7) = a²

Simplify: (196) - (49) = a²

Simplify: 147 = a²

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Root both sides.

147 = a² ⇒ √147 = √a² ⇒ √147 = a

a = x = √147

√147 is your answer.

~

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

where's the diagram?

step-by-step explanation: