Using the figure above, if< A = <D, then< B ___ <E. Choose the relationship symbol that makes the statement true.
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Answer:
The relationship symbol that makes the statement true is '>'.
Step-by-step explanation:
Given,
In triangles ABC and EDF,
∠A = ∠D
Since, the sum of all interior angles of a triangle is supplementary,
⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°
⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,
By substituting the values,
180° - ∠B - ∠C = 180° - ∠E - ∠F
- ∠B - ∠C = - ∠E - ∠F
∠B + ∠C = ∠E + ∠F
∠B + 20° = ∠E + 30° ( given ∠C = 20° and ∠F = 30° )
∠B = ∠E + 10°
⇒∠B > ∠E
Hence, the relationship symbol that makes the statement true would be '>'.
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I hope this is helpful
have a nice day
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Answer:
$1 coin is 23
$2 coin is 14
Step-by-step explanation:
We need to form mathematical equations that we can solve from this Long citation.
Firstly, let the numbers of $1 coins be a and that of $2 be b.
We know that there are 37 coins. Hence
a + b = 37
Now, total is 51 Canadian dollars.
a + 2b = 51
Let’s now solve this simultaneously
From 2 , a + b + b = 51
Let’s say this is 3. Now substitute 1 into 3.
37 + b = 51, b = 51 - 37 = 14
Since a + b = 37
a = 37 - 14 = 23