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zalisa [80]
2 years ago
10

Find the measure of angle d. d°

Mathematics
1 answer:
QveST [7]2 years ago
3 0

Answer:

Need points sorry <3

Step-by-step explanation:

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S KM ∥ JN? Why or why not?
bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because \frac{16}{10}= \frac{24}{15}

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\

which is true as both sides simplify to \frac{8}{13}

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}

In other words, \frac{16}{10}= \frac{24}{15}


4 0
3 years ago
Read 2 more answers
An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly.
just olya [345]
= 100 ( 1 + 3/100 ) ^ 25
= 209.377793
= 209.4
8 0
3 years ago
دائرة مركزها o فيها الوتران cd,ab اذا علمت ان النقطة n نقطة منتصف الوتر cd والنقطة m نقطة منتصف الوترab وكان om=on وطول cn=6cm
DerKrebs [107]

Step-by-step explanation:

12cm

...............

5 0
3 years ago
Read 2 more answers
2 d2 + 15d + 23 = 3<br> It’s quadratic formula
DENIUS [597]

Answer:

-15 plus or minus the square root of 65 all over 4 (All over means fraction)

4 0
3 years ago
One leg of a right triangle is 12, and the hypotenuse is 20.
Eduardwww [97]

Answer:

i believe it is 16.

hope this helped :)

3 0
3 years ago
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