In the figure below angle abd measures 41° what is the measure of angle abc?

∠ ABC=82°

Step-by-step explanation:

In the given picture, ΔABD and ΔBCD have BD as common.

In ΔABD and ΔBCD

∠C=∠A  [right angle]

BD=BD [common]

CD=AD  [given in the picture]

Therefore, by HL theorem ΔABD ≅ ΔBCD

⇒ ∠ABD=∠DBC=41°    [corresponding parts of congruent triangles are congruent]

Now, ∠ ABC=∠ABD+∠DBC=41°+41°=82°

Hence, ∠ ABC=82°

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.