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jolli1 [7]
3 years ago
12

Triangles ABC and DEF are similar find the length of segment DF​

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

2.68

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio

\frac{DF}{AC} =\frac{DE}{AB}\\\\\frac{DF}{4} = \frac{1.34}{2}\\\\ DF = \frac{1.34}{2}*4\\\\DF = 1.34 * 2 \\\\DF = 2.68

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a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord​
lara [203]

Answer:

8 cm

Step-by-step explanation:

the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves

draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.

find the missing leg of the right triangle

a^2= c^2- b^2

a^2= 25-9

a^2=16

a=4

this is only the measurement of half the chord. To find the full length of the chord multiply by two

4*2=8 cm

7 0
3 years ago
Nick had 34 bottles of water for his wrestling practice.
zepelin [54]

Answer:

No I disagree, because he had 34 bottles of water at the start but, when he finished he only has 1 left. 34-1=33 so in reality he drank 33 bottles of water.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The original price of a plane ticket was reduced by $150. if p=the ticket’s original price in dollars, which algebraic expressio
mariarad [96]

Answer:

Reduced price = $ ( p - 150)

Step-by-step explanation:

Let the original price of plane ticket be $p

Price reduced in plane ticket  = $150

So the amount actually need to pay for a plane ticket will be given by:

Actual reduced price of plane ticket = $p - $150

i.e Algebraic expression for reduced price is:

Reduced price = $ (p - 150)

3 0
3 years ago
Jennie has 177 more songs downloaded on her mp3 player than Diamond. Together, they have 895 songs downloaded. What system of eq
mr_godi [17]
With the information given, we can set up the following system of equations:

x + y = 895
x - y = 177

x represents how many songs Jennie has, and y represents how many songs Diamond has.

6 0
3 years ago
Read 2 more answers
Find the value of x to the nearest tenth.
Tju [1.3M]

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get <em>sqrt 32</em> or <em>4sqrt2 </em>for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = <em>sqrt17,</em> which is approximately 4.1231 or around 4.1

4 0
3 years ago
Read 2 more answers
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