Answer:
4:9
Step-by-step explanation:
8:18 in simplest form is 4:9
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:
You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.
x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.
Marc = Angelo
2x + 4 = x + 7
x = 3
In 3 weeks each runner will run 10 miles for the week.
Answer:
Part A, one solution
Part B, x=3
Step-by-step explanation:
divide both sides of the equation by 7 (5x-13=2)
move the constant to the right hand side and change its sign (5x=2+13)
add numbers (5x=15)
divide both sides of the equation by 5 (x=3)
hope this helps, have a good day
Answer:
Step-by-step explanation:
8/3
