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Olin [163]
3 years ago
5

Could these triangles be congruent?

Mathematics
2 answers:
Mama L [17]3 years ago
8 0

Answer:

yes, if AB ≅ DE

Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

trasher [3.6K]3 years ago
7 0

Answer:

D). no, because the hypotenuses must have different lengths

Step-by-step explanation:

I just did the assignment on Edge and it's 100% correct.

Hope this helps!! Also heart and rate if you found this answer helpful!!  :)

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Work out the value of x.
Vinil7 [7]

Answer:

\huge\boxed{x=20}

Useful Information:

Co-interior angles add to 180°

Step-by-step explanation:

The first step is to add 4x to 5x, which gives you 9x. This is because co-interior angles add up to 180, so 4x+5x=180. Co-interior angles can be spotted by their C shape.  

To work out the value of x you would need to divide 180 by 9, which gives you 20°.  This is because 9x is equal to 180. This means that x is equal to 180 divided by 9.

1) Add 4x to 5x.

4x+5x=9x

2) Divide 180 by 9.

\frac{180}{9}=20

4 0
2 years ago
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Find the area of the rectangle with measurements shown; reduce to lowest terms: Length: 13 1/2 feet; Width: 10 2/3 feet
kobusy [5.1K]

Answer:

Step-by-step explanation:

A = l*w

13.5 * 10.67 = 144.045 or 144

Hope that helps!

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3 years ago
Nick has to build a brick wall. Each row of the wall requires 62 bricks. There are 10 rows in the wall. How many bricks will Nic
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The answer is 10 x 62. He has 62 across, and 10 vertically. To find how many total he needs, you have to multiply both together. I hope this helps!
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3 years ago
Riley brought cupcakes to a party. by the end of the party 5/6 of the cupcakes were gone. what fraction of the cupcakes were lef
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Answer:

1/6

Step-by-step explanation:

this seems too simple but...

6/6 would be all the cupcakes the whole

so if 5/6 are gone than

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One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
anzhelika [568]

Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

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Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

Area of large bubble = total area of small bubbles = 100π cm²

Radius (r) =?

A = πr²

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100 = r²

Take the square root of both side

r = √100

r = 10 cm

Thus, the radius of the large bubble is 10 cm

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2 years ago
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