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2 years ago

Quadrilateral LMNO is a parallelogram, and LM=24-9 and NO=y-2, find the value of "y" and the length of NO.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

7 0

Answer:

y = 7

NO = 5

Step-by-step explanation:

Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2

Since LMNO is a parallelogram, hence;

LM = NO

2y - 9 = y - 2

2y - y = -2 + 9

y = 7

Since NO = y - 2

NO = 7 - 2

NO = 5

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If 1 inch represents 36 miles on a map, how many miles does 4 + 1/4 in represent

xeze [42]

Answer:

153 miles

Step-by-step explanation:

1 inch = 36 miles.

First, find the measurement of miles for 1/4 inch. Divide 36 with 4:

36/4 = 9

1/4 inch. = 9 miles.

Next, find the amount of measurement of miles per 4 inches:

4 x 36 = 144 miles.

Finally, combine the two measurements together:

144 + 9 = 153 miles.

153 miles is your answer.

5 0

3 years ago

Read 2 more answers

Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in

grin007 [14]

Answer:

$(B) P(B)=\dfrac{16}{31}$

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

$P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}$

The only correct option is the probability of B which is $\frac{16}{31}$

8 0

3 years ago

The length of the line segment AB equals 3x+1 BC equals 4x-5 AC equals 8x-9

yanalaym [24]

Answer:

X = 5

Step-by-step explanation:

Here is what I am picturing (not to scale)

A ----------------B-----------C

We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).

With reference to the line, AB + BC = AC

So,

3x + 1 + 4x - 5 = 8x - 9

7x - 4 = 8x - 9

5 = x

4 0

3 years ago

Pleases complete the proof but with each step can you tell me which property of equality to use.

wel

Answer:

Step-by-step explanation:

6 0

1 year ago

I NEED HELP QUICKLY!! Find the sum of the first 42 terms of the sequences (12, 16, 20, ....)

12345 [234]

Answer:

Step-by-step explanation:

Note the common difference between consecutive terms of the sequence.

d = 16 - 12 = 20 - 16 = 4

This indicates the sequence is arithmetic with sum to n terms

$S_{n}$ = $\frac{n}{2}$ [2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 4, thus

$S_{42}$ = $\frac{42}{2}$ [ (2 × 12) + (41 × 4) ]

= 21( 24 + 164) = 21 × 188 = 3948 → B

7 0

3 years ago