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goldenfox [79]
3 years ago
5

If DE = 37 cm and EF = 16 cm, then what are the possible lengths for DF so that DE,EF, and DF can form a triangle? Explain your

reasoning.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

The length of DF must be between 21 and 53.

Step-by-step explanation:

In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.

EF + DF > DE

16 + DF > 37

DF > 21

Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.

DE + EF > DF

37 + 16 > DF

53 > DF

With these two in mind, we know that DF must be between 21 and 53

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Answer: The correct congruence statement is \triangle QDJ\cong \triangle MCW.

Explanation:

It is given that A triangle Q D J. The base D J is horizontal and side Q D is vertical. Another triangle M C W is made. The base C W and side M C are neither horizontal nor vertical. Triangle M C W is to the right of triangle Q D J.

The sides Q D and M C are labeled with a single tick mark. The sides D J and C W are labeled with a double tick mark. The sides Q J and M W are labeled with a triple tick mark.

Draw two triangles according to the given information.

From the figure it is noticed that

QD\cong MC

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Answer:

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2 years ago
The gas tank of Tyrell's truck holds 19.8 gallons. When the tank is empty, tyrell fills it with gas that costs 3.65 per gallon.
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If the sequence below is a geometric sequence then what will the next two numbers in the sequence be? Sequence: 3, 9,…
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A company is constructing an​ open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
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Step-by-step explanation:

The volume of the tank is given by:

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Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

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