Answer:
ST = 4
Step-by-step explanation:
If the pentagons are similar, the ratio between a pair of sides of one pentagon is the same ratio for the similar pair of sides of the second pentagon, so we have that:
XY / YZ = ST / TU
32 / 36 = (4c + 2) / (5c + 2)
8 / 9 = (4c + 2) / (5c + 2)
8*(5c + 2) = 9*(4c + 2)
40c + 16 = 36c + 18
4c = 2
c = 0.5
So the length of ST is:
ST = 4c + 2 = 4*0.5 + 2 = 4
Answer:
22 cups
Step-by-step explanation:
who names someone Promise
It should be 10, The scale goes off of what the numbers count by so like 10,20,30,40,50,60 if I’m not mistaken
Since the triangle DEF is an equilateral triangle and x is the height of this triangle, we can use the following formula for the height of an equilateral triangle:
![h=\frac{l\sqrt[]{3}}{2}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7Bl%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D)
Where 'l' is the length of the triangle side.
So, using l = 13, we have:
![\begin{gathered} x=\frac{13\cdot\sqrt[]{3}}{2} \\ x=\frac{13\cdot1.73}{2} \\ x=11.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B13%5Ccdot%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B13%5Ccdot1.73%7D%7B2%7D%20%5C%5C%20x%3D11.2%20%5Cend%7Bgathered%7D)
So the value of x is 11.2
|6x + 5| = 7 · 3
|6x + 5| = 21
6x + 5 = 21 (1st equation)
-6x + 5 = 21
(1st equation)
6x = 21 - 5
6x = 16
x = 8/3
(2nd equation)
-6x - 5 = 21
-6x = 21 + 5
-6x = 26
x = -13/3
so all of the solutions are;
x = -13/3, 8/3
