Answer:
x=23°
Step-by-step explanation:
93°+(3x+18)°=180°
93°+3x+18°=180°
111°+3x=180°
3x=180°-111°
3x=69°
x=69°:3
x=23°
Since both rectangles are similar, the following ratio must be fulfilled:
![\frac{x+9}{14}=\frac{9}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B9%7D%7B14%7D%3D%5Cfrac%7B9%7D%7B6%7D)
By multiplying both sides by 14, we get
![\begin{gathered} x+9=\frac{9\times14}{6} \\ x+9=21 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B9%3D%5Cfrac%7B9%5Ctimes14%7D%7B6%7D%20%5C%5C%20x%2B9%3D21%20%5Cend%7Bgathered%7D)
and by subtracting 9 to both sides, we have
![x=12](https://tex.z-dn.net/?f=x%3D12)
Therefore, the answer is 12.
<span>3(9x-9)=16+3(-2x+9)
27x - 27 = 16 - 6x + 27
27x + 6x = 16 + 27 + 27
33x = 70
x = 70/33
x = 2 4/33
In short, Your Answer would be 70/33 or 2 4/33
Hope this helps!</span>
Answer:
5L/2 < 100
Step-by-step explanation:
Let's get started!
Let :
⇒ Length = L
⇒ Width = L/4
It mentions the perimeter must be less than 100 inches.
Perimeter Formula :
<u><em>Perimeter (Rectangle) = 2(Length + Width)</em></u>
Then, the inequality formed will be :
⇒ 2 (L + L/4) < 100
⇒ 2 (5L/4) < 100
⇒ 10L/4 < 100
⇒ 5L/2 < 100
Answer:
-60/7 or -8 4/7 would be the answer