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Veseljchak [2.6K]
2 years ago
15

On his bookshelf, Adam has the difference between two-thirds of Brett's books and two-thirds of Charlie's books. If Brett has 84

books and Charlie has 27 books, how many books does Adam have?
Mathematics
1 answer:
Gala2k [10]2 years ago
7 0

Answer:

30 books

Step-by-step explanation:

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
Yuri [45]

Answer:

Option D. AC= 10 cm and CE= 5 cm

Step-by-step explanation:

From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.

From these similar triangles we know

\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}

\frac{8}{12}=\frac{BC}{9}=\frac{AC}{AE}

Therefore \frac{AC}{AE}=\frac{8}{12}=\frac{2}{3}

Or AC=\frac{2}{3}AE

Now from pythagoras theorem

AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm

Since we know side AC = \frac{2}{3}AE

                                        = \frac{2}{3}\times 15

                                        = 10 cm

Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm


8 0
3 years ago
Help pleaseeeeeeeeeeee
forsale [732]
A straight line is 180°.

The sum of all the angles in a triangle is also 180°.

Let the missing angle be x°.

For the straight line:
x + 2x²+ 3x+ 6 = 180

x = 180 - (2x² + 3x + 6)

x = 180 - 2x² - 3x - 6

x = 174 - 2x² - 3x

For the missing angle in the triangle:
(174 - 2x² - 3x) + 8x + 3x² - 6x = 180

174 - 2x² - 3x + 8x + 3x² - 6x = 180

174 + x² - x = 180

x² - x + 174 - 180 = 0

x² - x - 6 = 0

(x + 2)(x - 3) = 0

x + 2 = 0 or x - 3 = 0
x = -2 or x = 3


The answer is x = -2 or x = 3
5 0
3 years ago
Read 2 more answers
A read each clue. the write the vocabulary word that best fits
Montano1993 [528]
1) encouragement
4) registered
10) cross out prepared and put qualified
All I know hope I can be some kind of help
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5 0
3 years ago
-18= 5-(6k - 19) i have the answer but i need help on how to get the answer 7?
insens350 [35]

Answer:

k = 7

Step-by-step explanation:

Step 1: Write equation

-18 = 5 - (6k - 19)

Step 2: Solve for <em>k</em>

<u>Distribute negative:</u> -18 = 5 - 6k + 19

<u>Combine like terms:</u> -18 = -6k + 24

<u>Subtract 24 on both sides:</u> -42 = -6k

<u>Divide both sides by -6:</u> k = 7

Step 3: Check

<em>Plug in k to verify it's a solution.</em>

-18 = 5 - (6(7) - 19)

-18 = 5 - (42 - 19)

-18 = 5 - 23

-18 = -18

7 0
2 years ago
What is the slope and y-intercept of the graph?<br><br><br><br> Slope: <br><br><br> y-intercept:
mr Goodwill [35]
Y = 0 + 2

Since it is a horizontal line, the slope is m = 0.

For the y-intercept, the line passes through 2 so therefore, the y-intercept is 2 positive.
6 0
2 years ago
Read 2 more answers
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