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loris [4]
2 years ago
15

30 points + brainliest for correct answer! If a triangle has sides X, 4.0, and 8.0, what is the range of possible sizes for side

x?
Mathematics
2 answers:
loris [4]2 years ago
8 0

Answer:

4.0 is less than x is less than 12.0

Step-by-step explanation:

nydimaria [60]2 years ago
6 0

Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24

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1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
What is the answer for -5x-8=3x+10
SIZIF [17.4K]

Answer:

x=− 9 /4

​or  

=−2.250

Step-by-step explanation:

4 0
2 years ago
ANSWER THIS RN PLZ. 15 points if correct. If not you get taken away points.
AleksAgata [21]

Answer:

16.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Divide.<br><br> 456 ÷ 7<br><br><br> 64 R 1<br><br> 64 R 2<br><br> 65 R 1<br><br> 65 R 2
umka2103 [35]

Answer:

456/7 equal to (drum rolls) 65.1428571429

Step-by-step explanation:

8 0
3 years ago
Lucy rolls 2 fair dice and adds the results from each.
stellarik [79]

Answer:

The probability is 7/36

Step-by-step explanation:

In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.

Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36

Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.

Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.

The probability is thus the number of these additions divided by the total number of outputs= 7/36

7 0
3 years ago
Read 2 more answers
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