Answer:
Complementary angles.
Step-by-step explanation:
Notice that
and
, by given.
, by sum of angles.
, by supplementary angles definition.

Which means,

Therefore,
, in other words, angles a and b are complementary by definition.
Answer:
see below (I hope this helps!)
Step-by-step explanation:
41. √20 = √4 * 5 = √4 * √5 = 2√5
43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.
45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x
47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.
28 men are needed to paint the room in 3 hours
<h3><u>Solution:</u></h3>
Given that it takes 12 hours for 7 men to paint a room
We are asked to find number of men required to paint the room in 3 hours
Recognize, "paint the room" is 1 task. One job.
7 men -------- 12 hours ------ 1 job
(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job
The one men is rate is 84 hours to do the job
We can express this as 1/84 jobs per hour, the one-person rate
Now lets find how many men needed to paint the room in 3 hours
Let the required number of men for 3 hours be "a"
The rates of each person is simply additive.

corresponds to rate x hours = jobs and "a" is a variable for how many men

Thus 28 men are needed to paint the room in 3 hours
Answer:
A
Step-by-step explanation:
I guessed also I just took the exam