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Solnce55 [7]
1 year ago
11

this is about similar triangles :)which of the following statements is true about similar triangles?the measurements of correspo

nding angles differ between the two triangles two triangles are similar if their corresponding sides are proportional.if two triangles are similar, both their corresponding sides and angles are always congruent.similar triangles differ in shape but are the same in size.
Mathematics
1 answer:
GenaCL600 [577]1 year ago
6 0

Similar triangles:

Similar triangles have two important properties:

1. The corresponding sides of the triangles are proportional.

2. The corresponding angles of the triangles are congruent.

Let us analyze each of the given options.

1. The measurements of corresponding angles differ between the two triangles.

False, since the corresponding angles must be congruent.

2. Two triangles are similar if their corresponding sides are proportional.

True, since the corresponding sides are proportional in similar triangles.

3. If two triangles are similar, both their corresponding sides and angles are always congruent.

False, since only the angles need to be always congruent not the sides.

4. Similar triangles differ in shape but are the same in size.

False, since similar triangles are the same shape, but not necessarily the same size.

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An exponential function will (SOMETIMES, ALWAYS, NEVER) exceed a polynomial function.
Elza [17]

Answer:

An exponential function will ALWAYS exceed a polynomial function.

Step-by-step explanation:

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3 years ago
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Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle.62 + 102 = 8236 + 100 = 64136 ≠
weeeeeb [17]

Answer:

Option 3rd is correct

No,

she should have added 6^2 and 8^2 and compared that to 10^2

Step-by-step explanation:

In a right angle triangle, we use Pythagorean theorem.

Pythagorean theorem states that

the sum of the squares of two sides must equal the square of the third side(the side facing the right angle).

i.e,  \text{Hypotenuse side}^2=\text{sum of the square of two side}

Given a triangle with side lengths 6, 10, and 8.

If we square all the given sides, we get;

6^2 = 36,

8^2 = 64

10^2=100

It can be seen that the sum of 36 and 64 is 100

⇒6^2+8^2 = 10^2

which satisfies the Pythagorean theorem.

⇒ The triangle is right-angled with the side lengths 6 units and 8  units forming the right angle and the side length 10 units  being the hypotenuse.

Therefore, her answer is incorrect, she should have added 6^2 and 8^2 and compared that to 10^2

7 0
3 years ago
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A bag of skittles only contain red pieces,yellow,and orange .If there are 6 red 8 yellow 4 orange pieces, what is the ratio of r
Trava [24]

Answer:

6:6

Step-by-step explanation:

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If 2x+3 is a factor of 6x^2+3x+n , what is the value of n
Vanyuwa [196]
We will use factor to calculate zero of the eq. Then putting the value of zero in place of x we can get the value of n.plz see pic for complete solution

6 0
3 years ago
Find the formula for the nth term of the sequence: 0,7,18,33,52​
defon

Answer:

t(n) = 2n² + n - 3

Step-by-step explanation:

<u>Given sequence: </u>

  • 0, 7, 18, 33, 52

Find the formula for nth term t(n)

<h3>Solution</h3>

<u>Sequence is neither arithmetic nor geometric, analyzing:</u>

  • 0, 7, 18, 33, 52

<u>First level difference</u>

  • 7, 11, 15, 19

<u>Second level difference</u>

  • 4, 4, 4

<u>As there are two levels, the formula should be in the form of:</u>

  • t(n) = an² + bn + c

<u>Trying the formula with the known terms:</u>

  • t(1) = 0 ⇒ a+b + c= 0
  • t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7
  • t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3

<u>Going back to previous equations to find remaining coefficients:</u>

  • t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1

<u>So the formula becomes:</u>

t(n) = 2n² + n - 3

8 0
3 years ago
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