Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
Answer:
85 degrees Fahrenheit
Step-by-step explanation:
To get the answer you need to multiply 1,000 by 7.15 then move your decimal to make it accurate and you should end up with 7150
Answer:
![y=4x-16](https://tex.z-dn.net/?f=y%3D4x-16)
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 x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
<u />
<u />
4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into
:
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
<u>2) Determine the y-intercept (b)</u>
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
Plug in the given point (6,8) and solve for b
![8=4(6)+b\\8=24+b](https://tex.z-dn.net/?f=8%3D4%286%29%2Bb%5C%5C8%3D24%2Bb)
Subtract 24 from both sides to isolate b
![8-24=24+b-24\\-16=b](https://tex.z-dn.net/?f=8-24%3D24%2Bb-24%5C%5C-16%3Db)
Therefore, the y-intercept of the line is -16. Plug this back into
:
![y=4x-16](https://tex.z-dn.net/?f=y%3D4x-16)
I hope this helps!
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.