Answer:
Step-by-step explanation:
y=sin (x-\pi/4)
<h2><u>Direct answers</u> :</h2><h3>In triangle 1 :</h3>

<h3> In triangle 2 :</h3>


<h3>In triangle 3 :</h3>


<em>Steps to derive the correct measurement of each of the angle</em>s :
In triangle 1 :
Given :
Sum of all angles in a triangle = 180°
Which means :



Thus, the measure of angle 1 = 77.7°
Since the sum of all angles (77.7+52.2+50.1=180°) equals 180° we can conclude that we have found out the correct value of angle 1.
Therefore, the <em><u>m∠1 = 77.7°</u></em>
In triangle 2 :
Given :
Let the measure of angle B be x.
Then, the measure of angle C will also be x.
Which means the sum of angle B and C will be equal to 2x.
That means :





Thus, the measure of Angle B = 63°
Measure of angle C = 63°
In triangle 3 :
Given :
- m∠3 = 112°
- Measure of exterior angle = 140°
Which means :
= m∠2 + 112° = 140° (exterior angle property)


Thus, the measure of angle 2 = 28°
= m∠1 + m∠2 + m∠3 = 180°




Thus, the measure of angle 1 = 40°
To simplify an expression you need to combine like terms.
In the given equation, there are two like terms, 5r and 9r.
There is a plus sing in front of each one, so add those together: 5r + 9r = 14r
There are no ther like terms so the simplified expresssion becomes:
8w + 14r - t
1min: 100 ft
2min: 100(.5)= 50 ---> 100+50= 150 ft
3min: 50(.5)=25 ---> 150+25= 175 ft
4min: 25(.5)=12.5 ---> 175+12.5= 187.5 ft
5min: 12.5(.5)=6.25 ---> 187.5+6.25= 193.75ft
answer: 193.75 ft
Answer: x-intercept is 11/4
Step-by-step explanation: 0 = -4x + 11 --> -11 = -4x --> 11/4 = x