<u>Given</u><u> </u><u>:</u><u> </u>
- There is a quadrilateral.
- Two sides of the quadrilateral are parallel .
- Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>
Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.
⇒ 96° + 2x = 180° .
⇒ 2x = 180° - 96° .
⇒ 2x = 84° .
⇒ x = 
<u>Hence</u><u> </u><u>value</u><u> </u><u>of </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>°</u><u> </u><u>.</u>
Similarly , 94° & ( 3y + 44) ° are co- interior angles
⇒ 94° + ( 3y + 44)° = 180° .
⇒ ( 3y + 44 )° = 180° - 94° .
⇒ 3y + 44° = 86°.
⇒ 3y = 86° - 44° .
⇒ 3y = 42° .
⇒ y = 
<u>Hence</u><u> </u><u>the </u><u>value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u>°</u><u>.</u>
Answer:
Step-by-step explanation:
Let's take a look at the given angle 135°
The sketch of the angle which corresponds to
unit circle and can be seen in the attached image below;
The trigonometric ratios are as follows for an angle θ on the unit circle:
Trigonometric ratio related ratio on coordinate axes
sin θ 
cos θ 
tan θ 
csc θ 
sec θ 
cot θ 
From the sketch of the image attached below;
The six trigonometric ratio for 135° can be expressed as follows:











Answer:

Step-by-step explanation:
Let's set up a proportion.

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.
There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.


Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.




Rob can peel 5 oranges in 12 minutes.
Answer:
13.5
Step-by-step explanation:
the relationship is times 1.125
meaning 9 times 1.125 is 8
Thus 12 times 1.125 is 13.5