a = –7
Solution:
Given expression is
![$\frac{a+4}{3} -\frac{a}{7} =\frac{a+7}{5} $](https://tex.z-dn.net/?f=%24%5Cfrac%7Ba%2B4%7D%7B3%7D%20-%5Cfrac%7Ba%7D%7B7%7D%20%3D%5Cfrac%7Ba%2B7%7D%7B5%7D%20%24)
Combine like terms together, we get
![$\frac{a+4}{3} -\frac{a}{7} -\frac{a+7}{5}=0 $](https://tex.z-dn.net/?f=%24%5Cfrac%7Ba%2B4%7D%7B3%7D%20-%5Cfrac%7Ba%7D%7B7%7D%20-%5Cfrac%7Ba%2B7%7D%7B5%7D%3D0%20%24)
Take LCM for the denominators (LCM of 3, 7, 5 = 105) to make it same.
![$\frac{(a+4)\times35}{3\times35} -\frac{a\times15}{7\times15} -\frac{(a+7)\times21}{5\times21}=0 $](https://tex.z-dn.net/?f=%24%5Cfrac%7B%28a%2B4%29%5Ctimes35%7D%7B3%5Ctimes35%7D%20-%5Cfrac%7Ba%5Ctimes15%7D%7B7%5Ctimes15%7D%20-%5Cfrac%7B%28a%2B7%29%5Ctimes21%7D%7B5%5Ctimes21%7D%3D0%20%24)
![$\frac{3a+140}{105} -\frac{15a}{105} -\frac{21a+147}{105} =0$](https://tex.z-dn.net/?f=%24%5Cfrac%7B3a%2B140%7D%7B105%7D%20-%5Cfrac%7B15a%7D%7B105%7D%20-%5Cfrac%7B21a%2B147%7D%7B105%7D%20%3D0%24)
![$\frac{3a+140+15a-21a-147}{105} =0$](https://tex.z-dn.net/?f=%24%5Cfrac%7B3a%2B140%2B15a-21a-147%7D%7B105%7D%20%3D0%24)
![$\frac{3a+15a-21a+140-147}{105} =0$](https://tex.z-dn.net/?f=%24%5Cfrac%7B3a%2B15a-21a%2B140-147%7D%7B105%7D%20%3D0%24)
![$\frac{-a-7}{105} =0$](https://tex.z-dn.net/?f=%24%5Cfrac%7B-a-7%7D%7B105%7D%20%3D0%24)
Do cross multiplication.
(Any number multiplied by 0 gives 0)
![-a=7](https://tex.z-dn.net/?f=-a%3D7)
Multiply (–1) on both sides to get the positive a.
a = –7
Hence, the answer is a = –7.
Answer:
X = 10.4
Step-by-step explanation:
Since the angle is a 90 degress angle we can assume that
39 + (5x-1) = 90 degrees.
Therefore we can subtract 39 from both sides which will give us
5x-1=51
Add 1 to both sides
5x = 52
Divide both sides by 5
x=52/5
The answer is
X = 10.4
Hope this helps! :)
Since, a circle is inscribed in a square, it means that the side of a square is equal to the diameter of a circle.
Since, the perimeter of a square is 32 inches.
A perimeter is a path that surrounds the two dimensional shape.
Perimeter of square is given by ![4 \times side](https://tex.z-dn.net/?f=%204%20%5Ctimes%20side%20)
![32 = 4 \times side](https://tex.z-dn.net/?f=%2032%20%3D%204%20%5Ctimes%20side%20)
side ![= \frac{32}{4}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B32%7D%7B4%7D%20)
side = 8 inches.
Since, side of a square = diameter of a circle
Therefore, diameter of a circle = 8 inches.
radius of a circle =
, where d is the diameter
radius =
= 4 inches.
The perimeter of a circle is termed as Circumference.
Circumference of a circle = ![2\Pi r](https://tex.z-dn.net/?f=%202%5CPi%20r%20)
= ![2\Pi \times 4](https://tex.z-dn.net/?f=%202%5CPi%20%5Ctimes%204%20)
=
inches.
Ty: 16, Justin: 64
Ty: 17, Justin: 68
Ty 18, Justin: 72
Answer:
True. No matter if n is a negative or positive, it will always be less than 4.