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-Dominant- [34]
3 years ago
13

Find X please help me with test corrections due midnight tonight!If HBN is congruent to LYR.

Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Step-by-step explanation:

here's the solution: -

if the given triangles are similar, then their corresponding sides will be in proportion, so

=》

\frac{x}{14}  =  \frac{x + 11}{21}

( by cross multiplication )

=》

21x = 14x + 154

=》

21x - 14x = 154

=》

7x = 154

=》

x =  \frac{154}{7}

=》

x = 22

Alona [7]3 years ago
4 0

Answer:

the answer is

x=22..........

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Find the volume of the rectangular prism. Use the dimensions shown.<br> NEED HELP ASAP!!!!!
mylen [45]

Answer:

The Volume is 660^3.

Step-by-step explanation:

The formula is Length * Width * Height.

22 * 5 * 6 = 660 and its volumed so the units is cubed.

7 0
3 years ago
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
Juan Ramirez sells suits in a major department store on weekends. he earns a commission of 5 percent on the first ten suits, and
snow_lady [41]
<span>The question said that Juan earns 5 percent on the first ten suits sold. Commission earned on the first ten 250.00 dollars suits = 5% of 250.00 times 10 suits = 0.05 x 250 x 10 = $125.00. The question said that he earns an additional 3 percent on additional suits exceeding 10 suits making a total of 8 percent. Since Juan sold 13 suits, he sold 3 additional suits. 8% of 250.00 times 3 suits = 0.08 x 250 x 3 = $60. Therefore, total commision = $125 + $60 = $185.00</span>
3 0
3 years ago
Read 2 more answers
A store is having a 20% off sale. If the
Aleks [24]

Answer:

$64.32

Step-by-step explanation:

What you do is:

$53.60×20% → $53.60×0.2

$53.60×0.2=$10.72

$10.72 is the amount of money taken off because of the sale.

Then what you do is:

$53.60+$10.72=_____

53.60

<u>+10.72</u>

64.32

The original price was $64.32.

Hope this helps! Please mark my answer brainliest!

3 0
3 years ago
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Line segment ab has endpoints a(9, 3) and b(2, 6). find the coordinates of the point that divides the line segment directed from
Dominik [7]
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.

x-coordinate:    (2 - 9) / 3 = -7/3
y-coordinate:    (6 - 3 ) / 3 = 1

Adding them to the coordinates of a,
           x - coordinate: (9 - 7/3) = 20/3
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Thus, the coordinates are (20/3, 4). 
7 0
3 years ago
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