Answer:
arc AC = 122
arc ACB = 244
m<ACB = 58
Step-by-step explanation:
Let me know if you want an explanation of how I got this but here is a picture of all the angles.
The triangles have a common vertex angle, and a given pair of
corresponding and congruent angles, they are therefore similar triangles.
- <u>∠ABC ≅ ∠ADE</u> (CASTC)
Reasons:
The given parameters are;
∠AED ≅ ∠ACB
By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =
∠BAC in common.
Therefore, ∠DAE ≅ ∠BAC, by reflexive property.
Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in
ΔACB.
(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA
Angle-Angle similarity postulate, and by Corresponding Angles of Similar
Triangles are Congruent CASTC we have;
∠AED ≅ ∠ACB
∠DAE ≅ ∠BAC
Learn more here:
brainly.com/question/4638844
A) 26.7%
B) 40%
The probability of A is given by 4/6(2/5), since this is done without replacement; there are 4 blue marbles out of 6. When the first one is gone, there are 2 red out of 5 remaining.
The probability of B is given by 4/6(3/5), since this is done without replacement; there are 4 blue marbles out of 6. When the first one is gone, there are 2 blue out of 5 remaining.
The equation used to model the cost of the bracelet would be y = 6c + 12, in which c is the number of charms on the bracelet. This is because even with no charms (c = 0), the bracelet still costs 12, which is the constant.
To solve for how many charms you can get with $96, you can plug 96 in for y and solve.
y = 6c + 12
96 = 6c + 12
84 = 6c
14 = c
2040. 10 times 4 is 40. If it happens every ten years then when the Olympics happen 10 times it would be 2040.