Answer:
AC ≅ AE
Step-by-step explanation:
According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.
Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, <em>the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. </em>This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.
Answer:
45
Step-by-step explanation:
12 % of the marbles are blue, and
18 % of the marbles are green, so
30 % of the marbles are either blue or green.
There are 150 marbles.
30 % × 150 = 0.30 × 150 = 45
The number of blue or green marbles is 45.
Answer:
g(x)=6 and f(x)=3 these are your answers for this equation
The next three numbers in the pattern would be 768, -3072, 12,288.
<h3>What are the next three numbers?</h3>
Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.
-12 /3 = 4
48 / 12 = 4
192 / 48 = 4
The next three numbers would be:
192 x 4 = 768
768 x 4 = 3072
3072 x 4 = 12,288.
Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.
To learn more about mathematical sequence, please check: brainly.com/question/26578277
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