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Mumz [18]
3 years ago
12

Use the following similar triangles (ABC ~ DEF). If AC= 18 when DF=19 and AB=15, what is DE? Solve mathematically. Round your an

swer to the nearest tenth.
Mathematics
2 answers:
Usimov [2.4K]3 years ago
8 0

Answer:

15.8

Step-by-step explanation:DE=15*19/6

DE=15.83=15.8

aev [14]3 years ago
3 0

Answer:

Step-by-step explanation:

As they are similar triangles,we can write

\frac{AB}{DE}=\frac{AC}{DF}

⇒\frac{15}{DE}=\frac{18}{19}

⇒DE=15.8

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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .
sammy [17]

Answer:

32,24,18,\frac{27}{2} ,\frac{81}{8}

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is 32,x,y,z,\frac{81}{8}

Recall that  term of a geometric sequence  are generally in the form:

a,ar,ar^2,ar^3,ar^4

This implies that:

a=32 and ar^4=\frac{81}{8}

Substitute a=32 and solve for r.

32r^3=\frac{81}{8}

r^4=\frac{81}{256}

Take the fourth root to get:

r=\sqrt[4]{\frac{81}{256} }

r=\frac{3}{4}

Therefore x=32*\frac{3}{4} =24

y=24*\frac{3}{4} =18

z=18*\frac{3}{4} =\frac{27}{2}

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3 years ago
Tom's tank hold 12.5
enyata [817]

Answer:

$24.5 = 1 tank

Step-by-step explanation:

All you have to do is multiply.

Since 12.5 gallons = 1 tank,

and $1.96 = 1 gallon

to get the answer, the equation would be,

$1.96*12.5 = 1 tank

$24.5 = 1 tank

Hope it helps!!

7 0
3 years ago
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Drupady [299]
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Solve x:(x+4)/3=2<br> Will give points
sasho [114]

\frac{x + 4}{3}  = 2 \\  \\  \\  \text{ Multiply by 3 on both sides,  }\\  \\   \\ =  >  \frac{x + 4}{3}  \times 3 = 2 \times 3 \\  \\  \\  \\  =  > x + 4 = 6 \\ \\   \\  =  > x = 6 - 4 \\  \\  \\   =  > x = 2






Hence, value of x in the given equation is 2
8 0
2 years ago
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I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Contact [7]

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

8 0
2 years ago
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