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kherson [118]
3 years ago
9

In the diagram, NM bisects ∠ENL. Find ml.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

ML = 6

Step-by-step explanation:

Since NM is bisecting angle ENL that means they are divided in two equals parts.

EM is congruent to ML and since EM is 6, ML is also 6.

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8. In right triangle LMN shown below, altitude MK is drawn to LN from M. IF LM = 12 and LK =10, then
Elena-2011 [213]

The length of the KN is 4.4

Step-by-step explanation:

We know from Pythagoras theorem  

In a right angle ΔLMN  

Base² + perpendicular² = hypotenuse ²

From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.

Hence ∠LKM = ∠NKM = 90 °

Given values-

LM=12

LK=10

Let KN be “s”

⇒LN= LK + KN

⇒LN= 10+x        eq 1

Coming to the Δ LKM

⇒LK²+MK²= LM²

⇒MK²= 12²-10²

⇒MK²= 44           eq 2

Now in Δ MKN

⇒MK²+ KN²= MN²

⇒44+s²= MN²       eq 3

In Δ LMN

⇒LM²+MN²= LN²

Using the values of MN² and LN² from the previous equations

⇒12² + 44+s²= (10+s) ²

⇒144+44+s²= 100+s²+20s

⇒188+s²= 100+s²+20s    cancelling the common term “s²”

⇒20s= 188-100

∴ s= 4.4

Hence the value of KN is 4.4  

8 0
3 years ago
35,000 decreased by 22%
gizmo_the_mogwai [7]
27,300 is the answer
6 0
3 years ago
Read 2 more answers
Toyota campy sold 20,600 in 2008. percent change is 1.2%. how many sold in 2009?
Artyom0805 [142]
So 20600=100%
in 2009=1.2% change from 100%

not specific whether percent change is up or down so solve fo r1.2%
d
find 1.2% of 100
percent means parts out of 1001.2%=1.2/100=0.12/10=0.012/1=0.012

'of' means multiply
20600 times 0.012=276.2

the change is 276.2

20600-276.2=20352.8
20600+276.2=20847.2
you must round down since you can't sell 0.2 or 0.8 of a car

the sold either 20,352 or 20,847 cars in 2009

6 0
3 years ago
What is the cross-sectional area of a wire if its outside diameter is 0.0625 inch?
Leno4ka [110]

Given that the diameter: d= 0.0625 inch.

So, radius of the wire : r = \frac{0.0625}{2} = 0.03125 inch

Now the formula to find the cross-sectional area of wire ( circle) is:

A = πr²

= 3.14 * (0.03125)² Since, π = 3.14 and r = 0.03125

=3.14 * 0.000976563

= 0.003066406

= 0.00307 (Rounded to 5 decimal places).

Hence, cross-sectional area of a wire is 0.00307 square inches.

Hope this helps you!

5 0
3 years ago
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Suppose there are 8 blue, 4 green, 11 yellow, and 7 red buttons in a bag. If you randomly pick out one button, what is the proba
STALIN [3.7K]
11/29 i believe. Cuz you add them all together and get 29 and then red and green added together is 11 
5 0
3 years ago
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