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3 years ago

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

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

7 0

Answer:

x = 20° and y = 12°

Step-by-step explanation:

3y + 15° = 5y - 9° ( being opposite angles of parallelogram)

5y - 3y = 15° + 9°

2y = 24°

y = 24° / 2

y = 12°

Now

5x + 29° = 7x - 11° ( being opposite angles of parallelogram)

7x - 5x = 29° + 11°

2x = 40°

x = 40° / 2

x = 20°

Hope it will help :)❤

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Amy says that the 9 in the number 900.876 is 1/1,000 the size of the 9 in 6.91. Is she correct? How do you know?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

The 9 in 900.876 is 900 and the 9 in 6.91 is .9 and if you look at the place value, you'll see that 900 is larger than .9

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2 years ago

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What is the product? (-2x-9y^2)(-4x-3)

telo118 [61]

Answer:-8x^2-6x+36xy^2+27y^2

Step-by-step explanation:

using the FOIL method

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3 years ago

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The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

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3 years ago

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Can get some help plz

Vadim26 [7]

A is the correct answer “V” (16w)(5w)

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2 years ago

Beth has 5400 in her savings account and withdraws 1/6 of it. The next day she withdraws 2/9 of what remains. How much is left i

faltersainse [42]

1/6 of 5400 is 900 so 5400-900=4500
1/9 of 4500 is 500 so multiply it by 2 and you will get 1000
2/9 of 4500 is 1000,4500-1000=3500

So your answer is 3500

5 0

3 years ago