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+Step-by-step explanation:
m = man's age
s = son's age
m=s+36
(m+8)=3*(s+8)
Resolves to: s=10, m=46
So the man is 46 (=10+36).
In 8 years, son is 18 (=10+8), man is 54 (=3*18 and 46+8), thank you.
<h3>
Answer: Choice C</h3>
Explanation:
Each X on that chart represents 2 juice boxes.
On the following days
- October 6
- October 16
- October 24
is when Leon drank 10 juice boxes (stack of 5*2 = 10 total)
26/ 15 but make it into a mixed number you can do it!
75% of the gallon of milk is left
16/16-4/16=12/16
12/16=3/4=0.75
