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Ivanshal [37]
3 years ago
15

Geometry :))), please help me

Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

\frac{x+23}{x+41} = 0.5

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

x+23=0.5(x+41)

Now we multiply out the brackets and move the terms to different sides:

x+23=0.5x+20.5

0.5x = -2.5

x = -5

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

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Minchanka [31]

The answers are :

10) 25 : 24

11) 24 : 5

12) 36 : 5

13) 7 : 3

14) 15 : 1

<u>Ratio = Number of event 1 : Number of event 2</u> (in same unit, if necessary)

<u>10</u>

Girls preferring orange juice : Boys preferring orange juice

50 : 48 (Divide by 2 on both sides)

25 : 24

<u>11</u>

Boys preferring orange juice : Boys preferring grapefruit juice

48 : 10 (Divide by 2 on both sides)

24 : 5

Remember :

  • <u>1 minute = 60 seconds</u>
  • <u>1 week = 7 days</u>
  • <u>1 hour = 60 minutes</u>

<u />

<u>12</u>

3 minutes : 25 seconds

3 × 60 : 25 (Divide by 5 on both sides)

3 × 12 : 5

36 : 5

<u>13</u>

2 weeks : 6 days

2 × 7 : 6 (Divide by 2 on both sides)

7 : 3

<u>14</u>

5 hours : 20 minutes

5 × 60 : 20 (Divide by 20 on both sides)

5 × 3 : 1

15 : 1

4 0
2 years ago
−0.63p − 5.04 + 3.57 = 7.05 + 2.21p?
grandymaker [24]

Answer:

p = -3

Step-by-step explanation:

−0.63p − 5.04 + 3.57 = 7.05 + 2.21p

−0.63p − 1.47 = 7.05 + 2.21p    (add 0.63p to both sides)

− 1.47 = 7.05 + 2.21p + 0.63p

− 1.47 = 7.05 + 2.84p  (subtract 7.05 from both sides)

− 1.47 - 7.05 =  2.84p

-8.52 = 2.84p  (rearrange)

2.84p = -8.52   (divide both sides by 2.84)

p = -8.52 / 2.84

p = -3

6 0
3 years ago
Read 2 more answers
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