Jasmyn is standing at the point of tangency to a wishing well, 27 feet from a bench. her friend willard is at the other point of tangency. what is the value of x?
The picture is a circle with a triangle coming out of its side with one side being (2x-7) and the other side being 27 and the side where the circle is connected doesn't have a number.

x = 17

Step-by-step explanation:

I assume the picture you're describing is the one I've drawn below.  Jasmyn and Willard are at the edge of the wishing well, and the bench is 27 feet from Jasmyn and 2x−7 feet from Willard.

We can draw radius lines from the center of the circle to each point of tangency.  These radius lines are perpendicular to the tangent lines.  The result is a kite.  We can then draw a line from the center of the circle to the bench.  This splits the kite into two triangles.

Since both right triangles have the same hypotenuse and the same shorter leg, then their longer legs must also be equal.

2x − 7 = 27

2x = 34

x = 17

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be