Answer:
<em>y = </em><em> x - 2 </em>
Step-by-step explanation:
Slopes of perpendicular lines are opposite reciprocals.
If AB ⊥ CD , then = - 1
y - = m(x - )
~~~~~~~~~~~
6x - y = 7 ⇔ y = 6x - 7
Slope of given line is 6
Slope of a perpendicular line is
( - 6, - 1 )
y + 1 = (x + 6)
<em>y = </em><em> x - 2</em>
Answer:
1. 4
2. 7 by 4, 28
3. 1 by 7, 7
4. Sofa 1: 8 by 4, 32 Sofa 8: 7 by 3, 21
5. 8 by 6, 48
6. too long to count
7. too long to count
8. 8 by 6, 48
Step-by-step explanation:
1. diameter is the distance from one side to the other, 4
2. count the squares
3. count the squares
4. count the squares
5. count the squares
6. NO
7. NO
8. count the squares
Based on the coordinates of the vertices of the quadrilateral ABCD, the perimeter is 18.64 units and the area is 18.96 units².
<h3>What is the perimeter?</h3>
First, find the distance between the points of the quadrilateral:
Distance formula is:
d = √( (x₂ - x₁)² + (y₂ - y₁)²)
Distance for AB:
= √( (6 - 3)² + (5 - 5)²)
= 3
Distance for BC:
= √( (4 - 6)² + (-1 - 5)²)
= 6.32
Distance of CD:
= √( (1 - 4)² + (-1 - (-1)²)
= 3
Distance of AD:
= √( (1 -3)² + (-1 -5)²)
= 6.32
Perimeter is:
= 6.32 + 6.32 + 3 + 3
= 18.64 units
The area of the quadrilateral would be:
= 3 x 6.32
= 18.96 units²
Find out more on the distance between points at brainly.com/question/24203332.
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Given that ray AT bisects angle MAR, the measure of angle MAR is 38°.
Hence, option D)38° is the correct answer.
<h3>What is the m∠MAR?</h3>
Given the data in the question;
- Ray AT bisects ∠MAR
- m∠MAT = (4x − 5)°
- m∠RAT = (2x + 7)°
- m∠MAR = ?
Since ray AT bisects ∠MAR, both angle MAT and RAT are equal angles.
Hence,
m∠MAT = m∠RAT
(4x − 5) = (2x + 7)
We solve for x
4x − 5 = 2x + 7
4x - 2x = 7 + 5
2x = 12
x = 12/2
x = 6
Next, we find the numerical value of m∠MAT and m∠RAT.
m∠MAT = (4x − 5)
m∠MAT= 4(6) - 5
m∠MAT= 24 - 5
m∠MAT= 19°
m∠RAT = (2x + 7)
m∠RAT = 2(6) + 7
m∠RAT = 12 + 7
m∠RAT = 19°
m∠MAR = m∠MAT + m∠RAT
m∠MAR = 19° + 19°
m∠MAR = 38°
Given that ray AT bisects angle MAR, the measure of angle MAR is 38°.
Hence, option D)38° is the correct answer.
Learn more about angle bisector here: brainly.com/question/17111127
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Answer:
Totally number of coaches needed is 12
Step-by-step explanation:
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