Answer:
The one next to Eve
Step-by-step explanation:
Susan Eve Kate Laura
Answer:
7.885 is a rational number
7 885/1000
7 177/200
The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
brainly.com/question/4074386
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Given :
- The measures of the angles of triangle ABC are in the ratio 2:4:9.
To Find :
- The measures of the angles.
Solution :
- Let the angles of the triangle be 2x, 4x and 9x
We know that the sum of the angles of the triangle is 180°
So,
⠀⠀2x + 4x + 9x = 180°
➺ 15x ⠀⠀⠀⠀⠀⠀= 180°
➺ x ⠀⠀⠀⠀⠀⠀⠀= 180°/15
➺ x ⠀⠀⠀⠀⠀⠀⠀= 12°
⠀
So, The measure of the three angles are :
- 2x = 2 × 12° = 24°
- 4x = 4 × 12° = 48°
- 9x = 9 × 12° = 108°
<h2>_____________________________________</h2>
Answer:
Step-by-step explanation:
8^2+5^2=c^2
64+25=c^2
89=c^2
c= <-- this is the length of the rectangle at the bottom
2^2+()^2=c^2
4+89=c^2
c= <-- length of dotted line (diagonal)