Note: enter your answer and show all the steps that you use to solve this problem in the space provided what is the value of x? a triangle is shown with two sides that each measure 21. the angle between the two sides is 38 degrees. one of the other base angles is labeled x degrees. you alot

We know that the sum of a triangle's angles equals to 180 degrees.

We also know using the information given that this triangle is an isosceles triangle making two of it's angles equal.

We also know that the angle between the two sides is 38 degrees.

Now all we need to do is subtract 38 from 180 then divide by 2 which will give us the angle measurement of x as both the angles are considered as x.

(180-38)/2

=142/2

= 71.

therefore the value of x is 71 degrees.

answer: the first graph

step-by-step explanation:

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