Given:
(a+10) and (a+20) are supplementary
To find:
Each angle
Steps:
if 2 angles are supplementary that means they add up to 180°
(a + 10) + (a + 20) = 180
a + 10 + a + 20 = 180
2a + 30 = 180
2a = 180 - 30
2a = 150
a = 150/2
a = 75°
Now let's find value of each angle,
a + 10 = 75 + 10
= 85°
a + 20 = 75 + 20
= 95°
Therefore, the value of each angle is 85° and 95° respectively
Happy to help :)
If you need any help feel free to ask
Answer: -2 and -7 i think
The lines that Mark drew are perpendicular.
Answer:
-2 < x<4
Step-by-step explanation:
We have open circles and -2 and 4 so we don't include those numbers
The line is in between so the x is in between
-2 < x<4
Answer:



Step-by-step explanation:
<h3>QUESTION-2:</h3>
we are given a right angle triangle
it's a 30-60-90 triangle of which FH is the shortest side
remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus
our equation is

divide both sides by 2


<h3>Question-1:</h3>
in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle
as we want to figure out GH we'll use sin function
remember that,

let our opp, hypo and
be GH, 4√10 and 60° respectively
thus substitute:

recall unit circle:

cross multiplication:

simplify multiplication:

divide both sides by 2:

<h3>QUESTION-3:</h3>
Recall that, the sum of the interior angles of a triangle is 180°
therefore,

simplify addition:

cancel 150° from both sides
