Answer:
x ≈ 12.6 m
Step-by-step explanation:
By using cosine ratio in the given right triangle RTS,
cos(S)° = 
cos(33)° = 
cos(33)° = 
x = 15.cos(33)°
x = 12.58
x ≈ 12.6 m
Therefore, measure of side ST = 12.6 m is the answer.
Blank 1: If y is -5 when x is 2, that means the equation here is y = -2.5x. So, if x is 8, that makes the equation y = -2.5(8), which gives you -20.
Blank 2: If y is 3 when x is 1, the equation will be y = 3x. If x is 2, that will give you y = 3(2), which is 6.
Blank 3: If y is -7 when x is -21, the equation will be x = 3y. If y is 9, that will give you x = 3(9), which is 27.
Blank 4: If y is 5 when x is 4, the equation will be y = 1.25x. If y is 18, that makes the equation 18 = 1.25x, which is 14.4.
I hope this all helped!
1.The correlation coefficient is close to B. 0.50
we can conclude that Amélie's cake sales are affected by the daily temperature. <span>A. Strongly</span>
Short Answer: The first three are absolutely true. Congruency is maintained if all you are doing is shifting the figure 8 spaces away. Since the figures are congruent, their corresponding parts are equal and the statements made are always true. That's the guiding principle.
A is true. See the short answer.
B is True. You have gone 8 units away. The distance between the old G and the new one is 8 units. This is not a congruency property but it is true because it is given. You haven't altered the shape or rotatated it.
C is true by conguency. You have just shifted things 8 units. You have maintained equality and you have maintained distance between corresponding parts.
That leaves D. If the figures are regular, that will be true. If they are not regular, non corresponding external angles cannot be guaranteed to be true.
Setting up the ratio, you get 3/18=x/54. Solve the proportion, you get that Riverside and Smithville are 9 cm apart on the map.
