since T is the midpoint of SU, then ST = TU.
![\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B10x-14%7D%7B%5Cboxed%7BS%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%7D%20T%5Cstackrel%7B5x%2B16%7D%7B%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7BU%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BST%7D%7B10x-14%7D%3D%5Cstackrel%7BTU%7D%7B5x%2B16%7D%5Cimplies%205x-14%3D16%5Cimplies%205x%3D30%5Cimplies%20x%3D%5Ccfrac%7B30%7D%7B5%7D%5Cimplies%20x%3D6%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BST%7D%7B10%286%29-14%5Cimplies%2046%7D~%5Chfill%20%5Cstackrel%7BTU%7D%7BTU%3DST%3D46%7D~%5Chfill%20%5Cstackrel%7BSU%7D%7BST%2BTU%3D92%7D)
Answer:

Step-by-step explanation:
The area
of a triangle is equal to half the product of its length (L) because of its height (h).

The base of the triangles is 
The height of the triangles is 
Then the area of one of the triangles is:

The figure is formed by 12 equal triangles, then the area of the figure
is:

Sin Ф=opposite/ hypotenuse
In this case:
sin 25º=9 in /c
c=9 in/ sin 25º
c≈21.3 in.
Answer: sin (25º), in this case can be used to find the lenght of the hypotenuse, and the length of this hypotenuse would be 21.3 in.
We know that the sum of measures of internal angles in each quadrangle is 360°.
Look at the picture.

Therefore we have:

Answer: θ = 141 deg.
Answer:
$1.25f + $0.75f
Step-by-step explanation:
The cost of one bagel is $1.25 and cream cheese costs $0.75 per person. The total amount Jack and Jenn will spend on breakfast depends on the number of friends that eat breakfast.
to get the total amount spent on breakfast, multiply the cost of bagel by the number of friends and the cost of cream cheese by the number of friends. Add these numbers
The total amount spent on food = $1.25f + $0.75f