The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
Option D.
3 equations with 3 variables
Step-by-step explanation:
The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.
If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system.
Therefore the correct answer is option D.
3 equations with 3 variables
Answer:
-20x+30
Step-by-step explanation:
Here ya go. Hope I helped
The total amount of people who ordered a large is 5 + 12 + 8 = 25 people.
The amount of customers who bought a large cold drink is 5.
The probability that someone bought a large cold drink is 5 out of 25 people.
This is 5/25 which is 1/5 which is .2
Convert the decimal to a fraction by multiplying by 100 and adding a percent sign at the end.
.2 x 100 = 20%
Edit:
The probability was supposed to be if the customer ordered a cold drink based on people who ordered large.
The amount of people who ordered a large drink is 22 + 5 = 27.
The amount of people who ordered a cold large is 5.
To find the percent, divide the people who ordered cold large by the total people who ordered large.
This would be 5/27 which in decimal form is .185185
To convert to a percent, multiply by 100 and add a percent sign after it.
.185185 x 100 = 18.5185%
The question says to round to the nearest percent so your answer is:
19%
