Answer:
63/100
Step-by-step explanation:
Im Pretty sure this the correct answer
Answer:
25. a = 60
26. a = 17
Step-by-step explanation:
In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure
so we have
25.
![6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60](https://tex.z-dn.net/?f=6a%2B10%3D130%5C%5C%5C%5C6a%3D130-10%5C%5C%5C%5C6a%3D120%5C%5C%5C%5Ca%3D60)
and for 26 we have
![4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17](https://tex.z-dn.net/?f=4a-4%3D2a%2B30%5C%5C%5C%5C4a%3D2a%2B30%2B4%5C%5C%5C%5C4a%3D2a%2B34%5C%5C%5C%5C4a-2a%3D34%5C%5C%5C%5C2a%3D34%5C%5C%5C%5Ca%3D17)
Answer:
![y=\frac{3}{2} x-6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x-6)
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
![3x = 2y](https://tex.z-dn.net/?f=3x%20%3D%202y)
Switch the sides
![2y=3x](https://tex.z-dn.net/?f=2y%3D3x)
Divide both sides by 2 to isolate y
![\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20x%5C%5Cy%3D%5Cfrac%7B3%7D%7B2%7D%20x)
Now that this equation is in slope-intercept form, we can easily identify that
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope
. Plug this into
:
![y=\frac{3}{2} x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x%2Bb)
<u>2) Determine the y-intercept</u>
![y=\frac{3}{2} x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x%2Bb)
Plug in the given point, (4,0)
![0=\frac{3}{2} (4)+b\\0=6+b](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B3%7D%7B2%7D%20%284%29%2Bb%5C%5C0%3D6%2Bb)
Subtract both sides by 6
![0-6=6+b-6\\-6=b](https://tex.z-dn.net/?f=0-6%3D6%2Bb-6%5C%5C-6%3Db)
Therefore, -6 is the y-intercept of the line. Plug this into
as b:
![y=\frac{3}{2} x-6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x-6)
I hope this helps!
No, because
60/3 = 20
90/6= 15
Both of the answers aren’t equivalent.
<h2>
Miranda's rate is 12 hours per mies.</h2>
Step-by-step explanation:
Given by question,
Miranda began her ride from home merely that she was 50 miles away from home after 4 hours of riding.
To find, Miranda's rate = ?
2 hours later she was 974 miles from home.
∴ 2 hours she rode = 74 miles - 50 miles
Miranda rides 24 miles in 2 hours.
∴ Miranda rides in 1 hour =
![\dfrac{miles}{hour}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmiles%7D%7Bhour%7D)
=
![\dfrac{miles}{hour}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmiles%7D%7Bhour%7D)
Thus, Miranda's rate is 12 hours per mies.