the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope = 
Substitute the values for both B and C coordinates, we have
Slope = 
Find the difference for both the numerator and denominator
Slope = 
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
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4(x+2)+2=14
4x+8+2=14
4x+10=14
Subtract 10 from both sides
4x=4
Divide by 4 on both sides
x=1
Answer:
660
Step-by-step explanation:
4x5x11x3 = 660
Answer:
3/8
Step-by-step explanation:
Let us represent the total fabric as an integer = 1
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.
= 1/8, hence each section = 1/8
Then she cuts off 5 of the sections to make into placemats.
This is written as: 5 sections × 1/8 = 5/8
The fraction of the fabric that is left is calculated as:
1 - 5/8
Lowest Common Denominator = 8
Hence: 8 - 5/8 = 3/8
The fraction of the fabric that is left is 3/8
The miles he drove North on Avenue B is 24 miles.
<h3>What is Pythagoras theorem? </h3>
According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.
The Pythagoras theorem: a² + b² = c²
Where:
- a = length
- b = base = 7 miles
- c = hypotenuse = 25 miles
<h3>How many miles did he drive north of Avenue B? </h3>
25² - 7²
625 - 49 = 576
√576 = 24 miles
Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
