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alukav5142 [94]
3 years ago
9

2. In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF ar

e shown. Side AB measures 10 millimeters. Side BC measures 4 millimeters. Side CA measures 8.5 millimeters. Side DE is not labeled. Side EF measures 12 millimeters. Side FD measures x. (1 point) x = 16.5 mm x = 24 mm x = 25.5 mm x = 30 mm
Mathematics
1 answer:
gavmur [86]3 years ago
5 0
FD/CA = EF/BC
x/(8.5 mm) = (12 mm)/(4 mm)
x = (8.5 mm)*(12/4)
x = 25.5 mm . . . . . . . . . . . the 3rd selection
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inna [77]
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As stated, </span><span><span>the length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a great circle of Earth times the cosine of the latitude angle</span>:

=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)

Answer: circumference = 40,212.39 cos(Θ) km

c. Which latitude circle has a circumference of about 3593 kilometers?

Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km

=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad

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Answer: 40,212.49 km

7 0
3 years ago
Adair suggests that they package together the fries and soda in a combo for a $0.75 discount. lf the student council pays $0.85
Ira Lisetskai [31]

Answer:

$58.50

Step-by-step explanation:

It is given that the student council pays

For per french fry = $0.85

For per soda fry = $1.20

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Total revenue for one combo = $0.85 + $1.20 - $0.75 = $1.30

Since the total revenue for one combo is $1.30, therefore the total revenue for 45 combo is

Total revenue for 45 combo = 45 × $1.30 = $58.50

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3 years ago
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sp2606 [1]

Answer:

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Step-by-step explanation:

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(4^3)/(2^3)

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7 0
3 years ago
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When a series of events takes place, each with a fixed number of possible values, the total number of possible outcomes is the _
zalisa [80]

When a series of events takes place, each with a fixed number of possible values, the total number of possible outcomes is the product of the number of values of each event. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0
3 years ago
What is the value of x+y?<br><br> Eight grade math
atroni [7]

Hello! The value of x+y is 12

Make sure to read an explanation so you can understand the solution better.

Any questions about the answer and explanation can be asked through comments.

Step-by-step explanation:

We can simply solve the system of equations by substituting x = 3y in the first equation

\large{2x + 2y = 24} \\  \large{2(3y) + 2y = 24} \\  \large{6y + 2y = 24} \\  \large{8y = 24} \\  \large{y = 3}

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Since you want to find x+y, simply add 9 and 3 as we get 12.

Therefore x+y = 12.

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