The triangles are similar. what is the value of x? enter your answer in the box. x = two right triangles. the bigger triangle's longer leg is labeled 3 x plus 8, the shorter leg is 15 units, and the hypotenuse is 25 units. the smaller triangle has a longer leg of 4 units, shorter leg of 3 units, and hypotenuse of 5 units.

4

Step-by-step explanation:

let the smaller triangle be PQR and bigger triangle be ABCLet, AB = 4, BC = 3, AC = 5 and

PQ = 3x+8, QR = 15, PR = 25.

since the two triangles are similar, we have

SO,

by cross multiplying,

4*15 = (3x+8)*3

60=9x+24

subtracting both sides by 24,

36=9x

dividing both sides by 9,

4=x

The east side of the west are the roll call managers

and y≤ -x +4 .

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

y≤ -x +4 .