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BARSIC [14]
3 years ago
15

Evaluate 7a -5b when a =5 and b=4

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

15

Step-by-step explanation:

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Quadrilateral ABCD is dilated by a scale factor of 1 over 3 centered around (1, 2). Which statement is true about the dilation?
Sonbull [250]

<em>Note: Since you missed to add the figure. So, after a little research I am kind of able to find the figure and hence, assuming it as a reference. Hence, I am attaching the figure and solution of that figure is also visible in the same figure.</em> Please check the attached figure (a)

Answer:

Segment B'D' will be parallel to segment BD and will be shorter than segment BD. Please see the attached figure (a) for better understanding.

Step-by-step explanation:

As we know that there are certain rules when a quadrilateral is dilated by a certain scale centered around a certain point.

So,

Let suppose P(a, b) is the point.

The dilation rule by a scale factor of 1 over 3 or (1/3) centered around (1, 2) is

P(a, b) → P(\frac{x+2}{3}, \frac{y+4}{3})

Hence,

            A(1, 2) → A'(1, 2)

            B(2, 3) → B'(4/3, 7/3)

            C(4, 2) → C'(2, 2)

             D(2, 1) → D'(4/3, 5/3)

The attached figure show that if we draw the all these points in the coordinate plan i.e. A(1, 2), B(2, 3), C(4, 2), D(2, 1) and A'(1, 2), B'(4/3, 7/3), C'(2, 2), D'(4/3, 5/3), we can determine that Segment B'D' will be parallel to segment BD and will be shorter than segment BD.

<em>Keywords: dilation, quadrilateral, segment</em>

<em> Learn more about dilation from brainly.com/question/7569824</em>

<em> #learnwithBrainly</em>

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3 years ago
What is the solution to the system of linear equations graphed below?
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Look at the picture.

Answer: A. (3.5, -4)

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Which of the following could be considered a structural way to limit government?
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3 years ago
The design of a nomadic tribal rug is shown, where m&lt;AED=34° and m&lt;EAD=112°
Lady_Fox [76]

The required angle m∠ADB  of the nomadic tribal rug is 112°

Given, that in ΔAED and ΔBDC,

where, m∠AED = 34° and m∠EAD = 112°

To find m∠ADB

By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.

Therefore in ΔAED,

m∠AED + m∠EAD +  m∠ADE = 180°

   34°  +    112°    +   m∠ADE   = 180°

or,    m∠ADE + 146° = 180°

or,       m∠ADE    = 34°

Similarly, m∠BDC = 34°

Now, by using the sum of linear pair of angles,

m∠ADE + m∠ADB + m∠BDC = 180°

  34° + m∠ADB + 34°  = 180°

   m∠ADB + 68° = 180°

   m∠ADB  = 180°- 68°

    m∠ADB = 112°

To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults

#SPJ9

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2 years ago
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