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Gre4nikov [31]
3 years ago
9

Please help me figure this out :"D​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Hello! In order to solve the first problem, you need to know the properties of a rhombus.

Some basic rules that apply to the problem you should know are:

  • All sides of a rhombus are equal, however, a rhombus consists of two angles.
  • Opposite angles are congruent.
  • Adjacent angles are supplementary.
  • Diagonals intersect each other at 90 degrees.
  • Diagonals bisect the opposite interior angles.
  • All angles of a rhombus will always add up to 360 degrees.

To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.

This being said,

1. HT is congruent to MA

2. ST is congruent to MS

3. AMH is congruent to ATH

4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.

5. If line MH = 9, then due to congruency AT must equal 9.

A square is 360 degrees. Every line is equal, every angle is equal.

There are four right angles in a square. A right angle equals 90 degrees.

Since every line has the same length, they are all congruent.

1. True

There are no angles less or more than 90 degrees in a perfect square.

2. False

KD and IN are not perpendicular since they do not intercept. They are parallel.

3. False

Every angle in a perfect square is 90 degrees.

4. True

You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.

5. True

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Answer:

The answer is C  

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Write as an integer<br><br> Giving your friend 3 cookies<br> I need help plz!
mash [69]

Answer: -3

Step-by-step explanation: If you're giving your friend 3 cookies, it's a decrease which means that it's negative.

So giving your friend 3 cookies can be written as -3.

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4 years ago
ПОЖАЛУЙСТА,РЕШИТЕ!!!Решите уравнение:
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

<em>1).</em> -\frac{5}{12} x = 0 ⇒ <em>x = 0</em>

<em>2).</em> 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ <em>x = - 6,3</em>

<em>3).</em> ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ <em>x = 3</em> <u><em>или</em></u> <em>x = - 4</em>

<em>4).</em> 23,5 | x | = 0 ⇒ | x | = 0 ⇒ <em>x = 0</em>

6 0
3 years ago
Derive the equation of a parabola with a focus at (-7,5) and a directrix of y = -11
vivado [14]

Answer:

The equation of the parabola is (x + 7)² = 32(y + 3)

Step-by-step explanation:

* <em>Lets revise the equation of the parabola in standard form </em>

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h , k + p)

- The directrix is y = k - p

*<em> Lets solve the problem</em>

- The parabola has focus at (-7 , 5) and a directrix of y = -11

∵  The focus is (h , k + p)

∵ The focus at (-7 , 5)

∴ h = -7

∴ k + p = 5 ⇒ (1)

∵ The directrix is y = k - p

∵ The directrix of y = -11

∴ k - p = -11 ⇒ (2)

- Add equation (1) and (2) to find k and p

∴ 2k = -6

- Divide both sides by 2

∴ k = -3

- substitute the value of k in equation (1)

∴ -3 + p = 5

- Add 3 to both sides

∴ p = 8

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

∴ (x - -7)² = 4(8)(y - -3)

# Remember ⇒ (-)(-) = (+)

∴ (x + 7)² = 32(y + 3)

* The equation of the parabola is (x + 7)² = 32(y + 3)

8 0
3 years ago
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