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BaLLatris [955]
2 years ago
10

In the following question solve for X please help!

Mathematics
2 answers:
Mariulka [41]2 years ago
8 0

Answer:

<u>x = 6</u>

Step-by-step explanation:

Taking the sides in proportion :

  • EB/DC = AB/AC
  • 8/24 = -3 + 2x/27
  • 1/3 = -3 + 2x/27
  • 3(-3 + 2x) = 27
  • -9 + 6x = 27
  • 6x = 36
  • <u>x = 6</u>
Sonja [21]2 years ago
3 0

Step-by-step explanation:

If you have any question about the sollution, ask me

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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. Yo
Arlecino [84]

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

(20x + 381) / (20x + 108) = 703/444

444 (20x + 381) = 703 (20x + 108)

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

<span>x = 18</span>

4 0
3 years ago
On May 1, Cleveland Livingston opened a savings account that paid
Ludmilka [50]

Answer:

Step-by-step explanation:

rate  = 3.5% per month

A) Six  days later the bank calculated the daily interest.

so, time = 6 days

= 6 / 30 = 1/5 month

simple interest  =\frac{P*r*t}{100}

=\frac{5000*3.5*1/5}{100} \\\\=35

=35%

B) For $5000, t = 1 month

For $2000, t = 20 / 30 = 2/3 month

For $8000, t = 16/30 months

Simple interest for $5000

=\frac{500083.5*1}{100} \\\\= 175

$175

Simple interest for $2000

=\frac{2000*3.5*2/3}{100} \\\\=\ 46.67

=$46.67

Simple interest for $8000

=\frac{8000*3.5*16/30}{100} \\\\=149.33

=$149.33

Total amount in account at the end of 30 days is

= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33

= $15371

7 0
3 years ago
Solve using a2 + b2 = c2 <br> show ur work please :)
Brrunno [24]
So 90^2+90^2=c^2
8100+8100=c^2
16200=c^2
C= ~127.28
5 0
3 years ago
The local bike shop sells a bike and accessories package for $320 if the bike is worth 7 times more than the accessories,how muc
sdas [7]
So, bike=b and accessories=a.

b+a=320

Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).

The equation would now turn into 7a+a=320.

Solve for a.

7a+a=320
8a=320
a=40

Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.

40(7)
280

The cost of the bike is $280.
The cost of the accessories are/is $40.
6 0
3 years ago
What does same day again mean
solmaris [256]
An repetition loop.
8 0
3 years ago
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