An angle measures 6º less than the measure of its complementary angle. What is the measure of each angle?

___ and ___

The  measure of each angle is:

48° y 42°

Step-by-step explanation:

Complemenary angles sum 90°

then:

a + b = 90°

a = b - 6

∴

(b-6) + b = 90

2b - 6 = 90

2b = 90+6

2b = 96

2b = 96

b = 96/2

b = 48°

a = b-6

a = 48 - 6

a = 42°

Check:

42° + 48° = 90°

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

5050

hope this !