Given:
<span>A: 3x + y = 6
</span><span>B: 6x - 2y = 4
</span><span>C: y = 3x - 2
</span><span>D: y = 1/3 x + 7
To figure out which two lines are perpendicular, we must look at the slopes of each one after putting them into standard form, y = mx + b.
Standard Form:
A: y = -3x + 6
B: y = 3x - 2
C: y = 3x - 2
D: y = (1/3)x + 7
Lines are perpendicular when their slopes are opposite inverses of eachother.
The opposite of -3 is 3 and the inverse of 3 is 1/3.
Therefore, lines A and D are perpendicular to one another :)
</span>
Answer:
17.69 miles
Step-by-step explanation:
We are given that Brian is riding his bike with a speed of 12.2 miles per hour . We have to evaluate the distance traveled if he rides his bike for 1.45 hours.
We know that the formula for distance is given as
Distance = speed * time
Distance = 12.2 * 1.45
Distance = 17.69
Hence Brian travels 17.69 miles.
- Slope formula:
Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: 
Next, combine like terms: 
Next, multiply both sides by 7: 
Next, add 4 onto both sides of the equation: 
Lastly, divide both sides by 2 and <u>your answer will be 
</u>
<u><em>Answer:</em></u>
∠7 = 95°
<u><em>Explanation:</em></u>
<u>1- getting the value of x:</u>
In the given figure, angle 1 and angle 4 are vertically opposite angles.
Therefore, they are equal in measurement
This means that:
3x + 10 = 4x - 15
4x - 3x = 10 + 15
x = 25
<u>2- getting the value of angle 4:</u>
We know that:
x = 25 and ∠4 is 4x-15
This means that:
∠4 = 4(25) - 15
∠4 = 85°
<u>3- getting the value of ∠6:</u>
From the given figure, we can see that ∠4 and ∠6 are supplement angles, this means that their summation is 180°.
We have calculated that ∠4 is 85°, therefore:
180 = ∠4 + ∠6
∠6 = 180 - ∠4
∠6 = 180 - 85
∠6 = 95°
<u>4- getting the value of angle 7:</u>
From the drawing, we can note that ∠6 and ∠7 are vertically opposite angles. This means that they are equal in measurements.
Therefore:
∠7 = ∠6 = 95°
Hope this helps :)
I’m sorry I don’t really know how to answer this but Ik someone who can
