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3 years ago

Find x & y so that quadrilateral is a parallelogram. (Look at image) please help!!

Mathematics

1 answer:

dybincka [34]3 years ago

4 0

Answer:

y = 2 and x = -3

Step-by-step explanation:

we know that opposite sides of a parallelogram are equal so

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 10 / 5

y = 2

Now

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = 6 / - 2

x = - 3

Hope it will help :)❤

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Solve 13+x>11. Enter your answer as an equality

Wittaler [7]

Answer:

x>-2

Step-by-step explanation:

13+x>11

Subtract 13 from each side

13-13+x>11-13

x>-2

5 0

3 years ago

A painter is using a 8-foot ladder to paint a house. The painter places the ladder 6 feet from the house. How high up the wall d

9966 [12]

Step-by-step explanation:

step 1. This is a right triangle where a^2 + b^2 = c^2 (c is the hypotenuse).

step 2. a^2 + 6^2 = 8^2.

step 3. a^2 = 64 - 36.

step 4. a^2 = 28.

step 5. a (the ladder height along the wall) = sqrt (28) where sqrt is the square root.

step 6. sqrt(28) = 2(sqrt(7)).

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3 years ago

Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

3 years ago

The greatest common factor of 3m2n + 12mn2 is

Kamila [148]

$3m^2n+12mn^2$
In both the sets, 3 and m as well as n can be found as common factors.
So,
3mn( m+4n)

Therefore the answer is 3mn (#3)

8 0

3 years ago

Read 2 more answers

3/5 + -1/3 = help qwq

Dmitriy789 [7]

Answer:

the answer is

3/5-1/3=4/15

7 0

3 years ago