<h3>
Answer: 2nd answer!</h3>
Step-by-step explanation:
-8 < -2 < 4 < 18, so 2nd answer must be the right one!
Let there exists a point (x, y) on the given line.
Slope of all points must be same, as they lie on the same line.
=> (y - 1)/(x - 2) = (4 - 1)/(-4 - 2)
=> (y - 1)/(x - 2) = - 1/2
=> y - 1 = (-½) (x - 2)
Option 1 is the correct option
Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,

Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,

Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
Learn more about trigonometric ratios at:
#LearnwithBrainly
Answer:
165 Students Have No Made Plans For Lunch.
Step-by-step explanation:
According To the Question,
- Given,On a school trip to a theme park, 4 busses each carry 70 students Then Total Number Of Students on a trip is 70×4=280 Students.
- And,35% of the students are bringing their own lunch. Thus,35% Of 280 Students is 98 Students. Then Remaining 182 Students not bring their own lunch.
Now, 17 of the students are buying lunch when they get to the theme park. Thus students Who have not made plans for lunch is 182-17⇒165Students
2* 100 + 2 * 65 = 330 perimeter
100 * 65 = 6,500 area
2*90 + 2*75 = 330 perimeter
90 * 75 = 6,750 area