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S_A_V [24]
4 years ago
15

Which theorem or postulate proves the two triangles are similar?

Mathematics
1 answer:
Andre45 [30]4 years ago
5 0

Answer:

The corresponding pair of sides are in the same ratio.

Step-by-step explanation:

For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.

Now, see the diagram of two triangles given with the question.

The ratios of the corresponding sides are \frac{20}{16} = \frac{19}{\frac{76}{5} } = \frac{5}{4}

If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.

Therefore, the two triangles are similar. (Answer)

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Solve for the value of x.x^2 + 4x + 4 = 0​
Georgia [21]

Answer:

-2

Step-by-step explanation:

Lets factor

(x+2)(x+2)=0

x=-2

5 0
3 years ago
NEED HELP ASAP! WILL MARK BRAINlIEST!
Sav [38]

Answer:

6 ≤ x ≤ 12

Step-by-step explanation:

Instead of solving the area as 1.5*4x, you would do 6*x (multiply 1.5 by 4 and divide 4x by 4).

Then, you can just use division to find the answer.

36/6=6

72/6=12

And since 36≤A≤72, the area can be any number between 36 and 72, so x can be any number between 6 and 12.

3 0
3 years ago
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library.
Natalija [7]

Answer:

12 miles

Step-by-step explanation:

From the graph given :

Mike's travel :

School to Mall= 16 miles

Mall to Library = 30 miles

Total travel = 16 + 30 = 46 miles

Henry's travel :

From school to Library = Hypotenus :

Distance can be obtained using Pythagoras :

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √(30² + 16²)

Hypotenus = √1156

Hypotenus = 34 miles

Difference in Distance covered :

(46 miles - 34 miles) = 12 miles

4 0
3 years ago
Solve.
andriy [413]
K/6 + 8 = 19
       -8     -8
-------------------
k/6 = 11
×6      ×6
---------------
k = 66
7 0
3 years ago
Write the following repeated multiplication using exponents. 6*6*6*6*6 (**Please use the ^ sign to show powers; for example, 5*5
kondaur [170]

Answer:

6^5

Step-by-step explanation:

6×6×6×6×6=7776

So 6^{5}=7776

5 0
3 years ago
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