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Nikitich [7]
3 years ago
8

What is the length of CD ? In this diagram ABC EDC ? Please help !!!!

Mathematics
2 answers:
n200080 [17]3 years ago
5 0
Answer:
CD = x = 4 units

Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
\frac{BC}{CD} =  \frac{CA}{CE} =  \frac{AB}{ED}

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5

Substitute in the above proportionality and solve for x as follows:
\frac{20-x}{x} =  \frac{20}{5} = 4

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)
Inessa05 [86]3 years ago
3 0

Answer: 4 (apex)

Step-by-step explanation:

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7 0
3 years ago
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
Verizon [17]

Answer:

The equation for a is a=-\frac{2000}{7}*(t-g)

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
  • g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

a=\frac{t-g}{-0.0035}

a=-\frac{2000}{7}*(t-g)

<u><em>The equation for a is </em></u>a=-\frac{2000}{7}*(t-g)<u><em></em></u>

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

a=-\frac{2000}{7}*(-305-50)

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a= 101,428.57

<u><em>The altitute is 101,428.57 feet</em></u>

4 0
3 years ago
Solve the simultaneous equations 8 x + 5 y = 28 4 x + 5 y = 16
Nostrana [21]

Answer:

x=3, y=0.8

Step-by-step explanation:

8x+5y=28

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Subtract the second simultaneous equation from the first.

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Substitute this back into one of the equations.

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8*3=24

28-24=4

4=5y

4/5=0.8

y=0.8

5 0
3 years ago
Read 2 more answers
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