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iren2701 [21]
2 years ago
5

If ΔCDE ~ ΔFGE, find the value of x.

Mathematics
1 answer:
lidiya [134]2 years ago
7 0

9514 1404 393

Answer:

  x = 43.2

Step-by-step explanation:

Corresponding sides are proportional.

  FE/CE = GE/DE

  x/27 = 40/25

  x = 27(40/25) . . . . multiply by 27

  x = 43.2

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When is a rectangle a square?
ololo11 [35]

Answer:

I think option B i.e. when its angles are right angles.

6 0
3 years ago
Read 2 more answers
A certain radioactive isotope decays at a rate of 2% per 100 years. if t represents time in years and y represents the amount of
gregori [183]
We rewrite the equation:
 y = y0 * e ^ (- 0.0002 * t)
 In this equation:
 I = represents the initial amount of the isotope
 We have then:
 89% of the isotope left:
 0.89 * y0 = y0 * e ^ (- 0.0002 * t)
 We clear the time:
 e ^ (- 0.0002 * t) = 0.89
 Ln (e ^ (- 0.0002 * t)) = Ln (0.89)
 -0.0002 * t = Ln (0.89)
 t = Ln (0.89) / (- 0.0002)
 t = 582.6690813
 round to the nearest year:
 t = 583 years
 Answer:
 
There will be 89% of the isotope left in about:
 
t = 583 years
7 0
3 years ago
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

8 0
3 years ago
This makes no sense, I don’t understand
julsineya [31]

Answer:

the range where we see the function is between x=0 and x=7

its B

A is impossible btw, no number is smaller or equal to 0 AND bigger or equal to 7

please brainliest

8 0
2 years ago
How do I solve 1/6 x 2.00=
marysya [2.9K]

Answer:

1/3

Step-by-step explanation:

2= 2/1

1/6 x 2/1

2/6=1/3

8 0
3 years ago
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