Answer:
No solution.
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
If the lines are parallel, they will have no solutions.
If the lines are the same, they will have infinite solutions.
If the lines are anything else, they will usually have 1 solution.
If we graph the systems of equations, we see that the lines are parallel.
∴ the systems has no solution.
Answer:
10. 20.9°
11. 73.2°
Step-by-step explanation:
The inverse sine function is used to find the angle from its sine value.
<h3>10.</h3>
In each case, the equation is of the form ...
a/sin(x) = b/c
Multiplying both sides by c/b·sin(x), we find the solution is ...
sin(x) = ac/b . . . . . find sin(x)
x = arcsin(ac/b) . . . . . find the corresponding angle
For the given values a=7.2, b=13, c=sin(40°), we have ...
x = arcsin(7.2sin(40°)/13) ≈ 20.9°
<h3>11.</h3>
For the given values a=6.53, b=√40, c=sin(68°), we have ...
x = arcsin(6.53sin(68°)/√40) ≈ 73.2°
Step-by-step explanation:
Hope it helps.
Handwriting is a bit poor. So, restraint is advised!
:)
Answer:
23/96 = about 24%
Step-by-step explanation:
42 + 23 + 31 = 96 students total in survey
23 students that like volleyball / total students =23.95% about 24%
Answer: AC = 98
Step-by-step explanation:
A midpoint is a point on a line segment that divides it into <em>two equal parts</em>.
This means AB = BC
AB = 8x - 7
BC = 6x + 7
AB = BC
8x - 7 = 6x + 7
Solve this to find x
Add 7 to both sides
8x = 6x + 14
Subtract 6x from both sides
2x = 14
Divide both sides by 2
x = 7
Now AC = AB + BC
AC = AB + BC
AC = 8x - 7 + 6x + 7
AC = 14x
Substitute 7 for x
AC = 14(7)
AC = 98
Hope this helps!