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KonstantinChe [14]
3 years ago
10

Please help ??????????

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

  -9i -j

Step-by-step explanation:

DE has components E - D = (-1, 5) -(8, 6) = (-1-8, 5-6) = (-9, -1). These components are the multipliers for the orthogonal unit vectors (i, j).

In terms of the unit vectors i and j, DE is ...

  DE = -9i -j

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Quotient 2 divided by 2 3
BARSIC [14]

Answer: 11.5

Step-by-step explanation:

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2 years ago
What is the length of PR<br><br><br><br> MARKING BRAINLIST
denpristay [2]

In the above figure, the Angles P and Q are equal, so their opposite sides will be equal too.

i.e. 5n = 32 + n

now, let's solve for n :

  • 5n = n + 32

  • 5n - n = 32

  • 4n = 32

  • n = 32 ÷ 4

  • n = 8 units

Length of PR :

  • 5n

  • 5 × 8

  • 40 units

4 0
2 years ago
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How are a common denominator and a common multiple alike and different?
victus00 [196]
East common multiple is the smallest multiple both numbers can go into. (Example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. You could just multiply them both, but you'd get 40 and since its a bigger number it would be harder to work with.)

<span>Least common denominator is just the least common multiple as a denominator. (Example: if you wanted to find the LCD of 5/7 and 1/10, you'd have to find the LCM of the demoniators (7 and 10) and then just use that as the denominator when adding fractions with unlikely denominators.) Sorry for such a long answer :P</span>
3 0
3 years ago
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Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0
2 years ago
Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line
xxMikexx [17]

Answer: 7 3/4

Step-by-step explanation:

3 1/4 + 4 2/4 = 7 3/4

7 0
2 years ago
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