Hurry!!!!! Which statement about the dilation of these is true
1 answer:
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Answer:
m ∠D = 29°
m ∠T = 105°
Step-by-step explanation:
Given: ΔSTU and ΔDEF
To find: m ∠D and m ∠T
Solution:
According to SSS similarity criteria,
two triangles are said to be similar if their corresponding sides are proportional.
In ΔSTU and ΔDEF,
So,
Therefore,
ΔSTU ≈ ΔDEF
If two triangles are similar then measure of their corresponding angles are equal.
m ∠D = m ∠S = 29°
m ∠U = m ∠F = 46°
In ΔSTU,
m ∠S + m ∠T + m ∠U = 180°
29° + m ∠T + 46° = 180°
75° + m ∠T = 180°
m ∠T = 180° - 75° = 105°
(According to angle sum property of a triangle, sum of measures of angles of a triangle is equal to 180°)
Answer:
B has a smaller initial population of 500
Step-by-step explanation:
Given
See attachment for complete question
Required
The bacteria with the smaller initial population
The initial population is at x = 0
For bacteria A;
when
For bacteria B, we have:
Substitute 0 for x
So; when x = 0
and
Because; 500 < 600
We can conclude that B has a smaller initial population of 500
