Angles are not necessarily drawn to scale find x

Angle x = 78°

Step-by-step explanation: The entire diagram upon careful observation, shows several triangles intercepting one another. One of such triangles is triangle BDH. It has three angles with two of them clearly marked as angle B (47°) and angle D (31°). Angle H is unknown but we can calculate this as

B + D + H = 10° {Sum of angles in a triangle equals 180}

47 + 31 + H = 180

78 + H = 180

H = 180 -78

H = 102°

However, angle x and angle H both lie on a straight line which is BIHC

At the intersection labeled H,

Angle x + angle H = 180 {Sum of angles on a straight line equals 180}

Therefore,

Angle x + 102 = 180

Subtract 102 from both sides of the equation

x = 78°

if im not mistaking its

step-by-step explanation:  

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns