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VladimirAG [237]
2 years ago
6

What is the value,in degree, of y

Mathematics
2 answers:
Viktor [21]2 years ago
6 0
Y= 122.

I did the math.
Maurinko [17]2 years ago
5 0

Answer:

y  = 122º

Step-by-step explanation:

x + z = 116

x = z

2x = 116

x = 58

x + y = 180

58 + y = 180

y = 180 - 58

y  = 122º

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solong [7]

Answer:

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Step-by-step explanation:

8 0
2 years ago
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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
A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer that its width
Inga [223]
L (length) = w+16
l x w = Area
260 = l x w
260 = (w+16) x w
260 = w^2 + 16w
w^2 + 16w -260 = 0
(w+26) (w-10) = 0

w= -26 (reject) or w = 10

if w = 10, l = 26
10ft x 16 ft
3 0
3 years ago
IF A SUBSCRIPTION IS $499 PLUS 8% TAX FOR 30 DAYS, BUT IS BEING PRORATED FOR 7 DAYS, PLUS THERE IS A $10 OFF COUPON, WHAT'S THE
ELEN [110]

Answer:

Your final answer is $528.92

Step-by-step explanation:

499 + 8\% = 538.92

538.92 - 10 = 528.92

5 0
3 years ago
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Help!! I cant figure this out for some reason
Thepotemich [5.8K]

Answer:

x³ - 6x² + 18x - 10

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

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= x³ - 2x² + 12x - 6 - 4x² + 6x - 4 ← collect like terms

= x³ - 6x² + 18x - 10

6 0
3 years ago
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