Answer:
Option: D is correct.
Step-by-step explanation:
since we are given a inequality as:
Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.
Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.
Hence, option D is true.
A graph with y = 2x + 1 is an example of one
Note! Every triangle must add up to 360°
1. x =
(×+29°) + (x+19°) + 84° = 360°
x + x + 29° + 19° + 84°= 360°
2x + 48° + 84°= 360°
2x + 132° = 360°
2x = 228°
x = 114°
m(angle)A =
(x+29°)
(114°+29°)=143°
m(angle)B=
(x+19°)
(114°+19°)=133°
3. is a bit different
(3x+6)° = (8x+3)°+130°
-5x+6° = 3° + 130°
-5x = 133° - 6°
-5x = 127°
x = -25.4°
m(angle)A=
(3x+6)°
3×(-25.4)+6= -70.2°
m(angle)DBE=
(8x+3)°=
8(-25.4)+3= -200.2°
I only did 1. and 3. for examples now, but if you need help with anymore just ask!
Let the number of adult tickets sold equal a.
Let the number of student tickets sold equal s.
The cost of the adult tickets sold is 6a.
The cost of the student tickets sold is 3s.
The total sales was $660, so we have our first equation:
6a + 3s = 660
25 more student tickets than adult tickets were sold.
That gives us our second equation
s = a + 25
We have a system of equations.
6a + 3s = 660
s = a + 25
Since the second equation is already solved for s, we can use the substitution method. Replace s of the first equation with a + 25 and solve for a.
6a + 3(a + 25) = 660
6a + 3a + 75 = 660
9a = 585
a = 65
65 adult tickets were sold.
Now we find the number of student tickets sold.
s = a + 25 = 65 + 25 = 90
Answer: The number of student tickets sold was 90.
Answer:
AE = 7.5
Step-by-step explanation:
Since <BAC = , then;
<BAD = <DAE = <CAE = (complementary angles)
From ΔABC, applying the Pythagoras theorem to determine the length of side AC;
= +
= +
100 = + 25
= 100 - 25
= 75
AC =
Applying trigonometric function to ΔCAE,
Cos =
AE = × Cos
= 7.5
Therefore, AE = 7.5