Answer:
120°
Step-by-step explanation:
A line must add up to 180°.
The sum of angles in a triangle also adds up to 180°.
Step 1: Find measures interior angles.
3x = 180
x = 60°
Step 2: Find measures of exterior angels.
x + 60 = 180
x = 120°
<u>Answer:</u>
The answer is A choice.
<u>Explanation:</u>
By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.
Thus, the domain is at <u>the left end side to the right end side.</u>
The domain stops at -5 on the left side and 5 on the right side. Thus the answer is
-5 < x < 5.
The A choice.
Answer:
2000 ml
Step-by-step explanation:
Given: Sarai pours all the liquid from a full small beaker into a larger beaker.
The liquid fills the large beaker to 15% of its capacity.
The small beaker holds 300 ml.
Lets assume capacity of large beaker to hold be "x".
As given, Sarai pours all the liquid from a full small beaker into a larger beaker
∴ 
⇒ 
Dividing both side by 0.15
⇒
∴ 
Hence, the large beaker can hold 2000 ml of liquid.
The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4
Answer:
first open the bracket by multiplying 28 by 4 which is equal to 112, then add it to 18 which be equal to 130 which is the final answer
