"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"

1 answer:

8 0

The triangles would be congruent because of the two Triangle Congruence Theorms.

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

Because your triangle has more than two angles that are congruent, and more than one side that are congruent, it more than fits the theorms.

Hope this helps.

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You have 100 yards of fencing available to create an enclosure for farm animals. As the

Sunny_sXe [5.5K]

1. area of a pentagon when 1 side is x is $\frac{x^2}{4}\sqrt{5(5+2\sqrt{5})}$
so if perimiter is 100 then one side is 100/5 or 20
area will be $\frac{20^2}{4}\sqrt{5(5+2\sqrt{5})}$ ≈688.2 square yards

2. area of a hexagon when 1 side is length x is $\frac{3x^2\sqrt{3}}{2}$
so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be $\frac{3(16.6666666)^2\sqrt{3}}{2}$ ≈721.7 square yards

3. area of a regular octagon with side lenghts x is $2(1+\sqrt{2})x^2$
so if 8 sides then side length of each is 100/8 or 12.5
area will be $2(1+\sqrt{2})12.5^2$ ≈754.4 square yards

octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter

3 0

3 years ago

A crane lifts a 425 kg steel beam vertically a distance of 66 m. How much work does the crane do on the beam if the beam acceler

Fiesta28 [93]

The solution to the problem is as follows:

W=Fd=mad=425*1.8*66 =50490 J

Therefore, it takes 50490 J of work the crane will do to accelerate the beam upward at 1.8 m/s^2.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

6 0

3 years ago

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How many pairs of whole numbers have a sum of 99?

Dmitry_Shevchenko [17]

There are 50 pairs of whole numbers

5 0

3 years ago

Simplify the expression: -6(1.4 - r)=

Vitek1552 [10]

Answer:

$6r-8.4$

Step-by-step explanation:

$-6(1.4-r)$

Use the distibutivve property to multiply -6 by 1.4 - r

$-8.4 +6r$

Then move over 6r to the front

$6r-8.4$

6 0

2 years ago

Read 2 more answers

Need an answer thanks

RUDIKE [14]

Find X:
38=(3x+4)+(5x-6)
combine like terms
38=8x-2
add 2 to both sides
40=8x
divide both sides by 8
5=x
Find AB:
16=3x+4
subtract 4 from both sides
12=3x
divide by 3
4=x
Find BC:
16=5x-6
add 6 to both sides
22=5x
divide both sides by 5

8 0

3 years ago