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s2008m [1.1K]
4 years ago
5

Which postulate or theorem, if any, could be used to prove the triangles congruent? If not

Mathematics
2 answers:
inysia [295]4 years ago
7 0
Question 11a)

We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)

We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)

---------------------------------------------------------------------------------------------------------------

Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)

----------------------------------------------------------------------------------------------------------------

Question 11c)

We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)

-----------------------------------------------------------------------------------------------------------------

Question 11d)

We do not have enough information to tell whether this shape congruent or not
ollegr [7]4 years ago
3 0

Answer: on d. it's, you

weren;t given enough information

Step-by-step explanation:

ur welcome.

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Find the value of x, then use that value to determine each angle measure of the triangles below.
olganol [36]

Answer:

x =8

The angles are

3x= 24

7x+4 =  60

13x-8 =96

Step-by-step explanation:

The sum of the angles of the triangle is 180

3x+ 7x+4  + 13x-8  =180

Combine like terms

23x -4 = 180

Add 4 to each side

23x -4+4 =180+4

23x =184

Divide by 23

23x/23 = 184/23

x =8

The angles are

3x= 3*8 =24

7x+4 = 7*8+4 = 56+4 = 60

13x-8 = 13*8-8 =104-8=96

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3 years ago
Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on t
motikmotik

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: a^{2} +b^{2}  = c^{2}  .... which a and b are the two sides while x is the diagonal.

5^{2} +12^{2} = x^{2}

25 + 144 = x^{2}

169 = x^{2} ... now we square root both sides

13 = x

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

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3 years ago
Pls help thank you :)
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LCM of 900 and 400 plz show step by step​
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Answer:3,600

Step-by-step explanation:

Find the Prime factorization of 400: 2x2x2x2x5x5

Find the Prime factorization of 900: 2x2x3x3x5x5

Multiply each factor the greater number of times it occurs: 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5= 3,600

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Answer:gordo de mierd

Step-by-step explanation:

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