Since the angles in triangle ACM indicate that it is a 30-60-90 triangle, we know that the other two sides of triangle ACM are 20 and 10 (30-60-90 triangles have a very specific side coefficient). This means that the sides of this triangle have side lengths 40, 10, and

. Adding these together you get 50+

. Hope this helps!
Answer:
21 vowels.....15 consonants.......added = 36 tiles
probability of first picking a consonant : 15/36 reduces to 5/12
replacing it...
probability that second pick is a vowel : 21/36
probability of both : 5/12 * 21/36 = 105 / 432 reduces to 35/144 <===
Step-by-step explanation:
Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
Answer:
answer is 546
Step-by-step explanation: