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Masja [62]
3 years ago
8

What relationship is formed by a line of symmetry and the line between opposite points in the symmetry

Mathematics
1 answer:
Anettt [7]3 years ago
6 0

Answer:

  • <em>A line of symmetry and the line between opposite points in the symmetry</em><em> are </em><u>perpendicular to each other. </u>

Explanation:

A line of simmetry splits the figure into two identical halves.

Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.

The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.

For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).

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State a counterexample to the conjecture below if a number is divisible by 6 and 2 then there’s is divisible by 12
siniylev [52]
Any number that is divisible by 6 is already divisible by 2, but is not necessarily divisible by 12.

Counterexamples include: 6, 18, 30, 42, 54, and so on. You can find more by multiplying 6 by any odd number. However, multiplying 6 by an even number provides another "2" that would make it divisible by 12.
4 0
3 years ago
Read 2 more answers
Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
malfutka [58]

Answer:

  • P(t)=37\times (4)^{(t/9.1)}

Explanation:

The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>

Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:

Start:        37 letters

  • In 9.1 weeks: 37 × 4

  • In 2 × 9.1 weeks: 37 × (4)²

  • In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

   P(t)=37\times (4)^{(t/9.1)}

3 0
3 years ago
Given: JK tangent, KH=16, HE=12 Find: JK.
grin007 [14]

Check the picture below.

7 0
3 years ago
Factor the given quadratic function x2 + 9x = 36.​
Gennadij [26K]

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

{x}^{2}  + 9x = 36 \\  {x}^{2}  + 9x - 36 = 0 \\  {x}^{2}  + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0

4 0
3 years ago
I will mark you as brainliest if you're answer is correct​
GalinKa [24]

Answer:

perimeter = 28.13 cm

Step-by-step explanation:

Calculate the length of a line drawn from A to C.

sin 85 = b/8, b = 7.97

cos 85 = c/8, c = 0.697

AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37

AC = 10.41

Now you have a right triangle ADC with a known hypotenuse and  one leg.

Using the Pythagorean theorem:

DC² = 10.41² - 5²

DC² = 108.37 - 25 = 83.37

DC = 9.13 cm

perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm

8 0
2 years ago
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