Answer:
Area of ΔDEF is 
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB = 
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,
Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
Thus the area of ΔDEF is .
The contrapositive statement are:
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
<h3>What is the
converse statement?</h3>
The converse statement are:
- If the late is frozen, then it is cold.
- If Solomon is happy, then he is healthy.
- If Tigist Tigist does not take a walk, then it will rain.
Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.
Therefore, The contrapositive statement are
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
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Answer: its 50
Step-by-step explanation:
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
Answer:
x = 45
Step-by-step explanation:
These angles equal to each other. So...
2x + 6 = 96
2x = 90
x = 45
I hope this helps :)
