It must be a and c, as these are the only two with four closed sides
Answer:
2x-7 or 7-2w
Step-by-step explanation:
First, we must let:
x = number of tickets intended for adults
y = number of tickets intended for children.
a. Write in terms of x the number of tickets for children
Solution:
x + y = 28 ⇔ y = 28 - x (equation 1)
To answer in terms of x:
no. of tickets for tickets for children = 28 - x
b. the amount spent on tickets for adults
Solution: $30 is the cost of ticket per adult and there are x number of tickets intended for adults.
Therefore,
amount spent on ticket for adults = 30x
c. the amount spent on the tickets.
Solution:
$ 15 = cost of ticket per child
$ 30 = cost of ticket per adult
total amount spent on tickets = 30x + 15y ⇒ (equation2)
substitute equation 1 to equation 2.
(equation 1) y = 28 - x
(equation 2) total amount spent on tickets = 30x + 15y
total amount spent on tickets = 30x + 15(28-x)
total amount spent on tickets = 30x + 420 - 15x
total amount spent on tickets = 15x + 420
Answer:
Because the opposite side is shorter than the hypothenuse
Step-by-step explanation:
- An acute angle is an angle which is less than ![90^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D)
- A right angle is an angle equal to ![90^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D)
- An obtuse angle is an angle which is between
and ![180^{\circ}](https://tex.z-dn.net/?f=180%5E%7B%5Ccirc%7D)
In a right triangle, we have 1 right angle and 2 acute angles.
The sine of an angle in a right triangle is defined as:
(1)
where
At the numerator we have the length of the side opposite to the angle
At the denominator we have the length of the hypothenuse
In a right triangle, the hypothenuse is the longest side of the triangle, so we have
![opp.side < hypothenuse](https://tex.z-dn.net/?f=opp.side%20%3C%20hypothenuse)
Therefore, the ratio in the eq(1) is less than 1, therefore, the sine of the angle is less than 1. Also, the sine is positive, since the ratio in the equation is a positive number.
If it is reflected across the X axis, the Y value is negated. What do you think the answer is based off of that?