A, e, d are the answers :) hope I helped
Answer:
10. Not enough information
11. B ≈ 12.0°
12. A ≈ 34.1°
Step-by-step explanation:
10. Not enough information
11.
We need to use the Law of Sines, which states that for a triangle with lengths a, b, and c and angles A, B, and C:
![\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%20%3D%5Cfrac%7Bb%7D%7BsinB%7D%20%3D%5Cfrac%7Bc%7D%7BsinC%7D)
Here, we can say that AB = c = 38, C = 128, and AC = b = 10. Plug these in to find B:
![\frac{b}{sinB} =\frac{c}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7BsinB%7D%20%3D%5Cfrac%7Bc%7D%7BsinC%7D)
![\frac{10}{sinB} =\frac{38}{sin128}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7BsinB%7D%20%3D%5Cfrac%7B38%7D%7Bsin128%7D)
Solve for B:
B ≈ 12.0°
12.
Use the Law of Sines as above.
![\frac{a}{sinA} =\frac{b}{sinB}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%20%3D%5Cfrac%7Bb%7D%7BsinB%7D)
![\frac{23}{sinA} =\frac{28}{sin(43)}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7BsinA%7D%20%3D%5Cfrac%7B28%7D%7Bsin%2843%29%7D)
Solve for A:
A ≈ 34.1°
Step-by-step explanation:
the midpoint is exactly halfway in each coordinate direction.
so, whatever we have to add ti or subtract from the coordinates of T to get to the midpoint, we have to add to or subtract from the midpoint to get to S.
for x we get
0 + 5 = 5
so, we need to add another 5 to get the x coordinate of S.
that is then 5 + 5 = 10
for y we get
2 - 5 = -3
so, we need to subtract another 5 to get the y coordinate of S.
that is then
-3 - 5 = -8
S = (10, -8)