The total length of rope, in feet, used to put up tents is 60 times the number of tents
2 answers:
Answer:
Total length of the rope = 6x feet.
Step-by-step explanation:
Given : The total length of rope, in feet, used to put up tents is 60 times the number of tents
To find : Total length of the rope.
Solution: We have given
Let the number = x
Tenth of the number = .
According to question :
60 times the number of the tenths.
60 * .
Total length of the rope = 60 * .
Total length = 6 x .
Therefore, Total length of the rope = 6x feet .
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Answer:
All real numbers except 3
Step-by-step explanation:
Given
Required
Determine the domain
We start by writing the following inequality
Add 6 to both sides
Divide both sides by 2
<em>As such, the domain of x is all real numbers except 3</em>
Consider the given triangles.
Given:
ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider the first part:
1. In triangles ABC and QPT
If we take along with the given condition.
Then the triangles are congruent by ASA congruence criterion.
2. If we take and
along with the given condition.
Then the triangles are congruent by ASA congruence criterion.
3. As,,
and
, so the triangles can not be congruent.
4. If we take and
along with the given condition.
Then the triangles are congruent by AAS congruence criterion.
5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.