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3 years ago

Diagonals of parallelograms Solve for x

Mathematics

2 answers:

Lunna [17]3 years ago

3 0

Diagonals bisect each other

$\\ \bull\tt\longmapsto 2x+10=3x$

$\\ \bull\tt\longmapsto 3x-2x=10$

$\\ \bull\tt\longmapsto x=10$

Option B

DerKrebs [107]3 years ago

3 0

Answer:

Answer: 10

Assuming the parallelogram is general and congruent:

$2x + 10 = 3x \\ 3x - 2x = 10 \\ x = 10$

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3 years ago

Rhianna says she can draw different functions that have the same x‑intercepts and the same domain and range. Her teammates say,

qwelly [4]

In both cases there are more than one possible function sutisfying given data.

1. If

x‑intercepts are (–5, 0), (2, 0), and (6, 0);
the domain is –5 ≤ x ≤ 7;
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then (see attached diagram for details) you can build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their maximum and minimum left and right you can obtain another function that satisfies the conditions above.

2. If

x‑intercepts are (–4, 0) and (2, 0);
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then you can also build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their minimum left and right you can obtain another function that satisfies the conditions above.

Note, that these examples are not unique, you can draw a lot of different graphs of the functions.

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3 years ago

Yvette uses 6 games of tea leaves to make 24

ruslelena [56]

Answer:

Therefore last week Yvette used 72 grams of tea leaves to make 288 ounces of tea.

Step-by-step explanation:

i) 6 grams of tea leaves are used to make 24 ounces of tea.

ii) 1 gram of tea leaves can be used to make $= \frac{24}{6} = 4\hspace{0.1cm}ounces\hspace{0.1cm}of\hspace{0.1cm}tea$

iii) number of grams of tea leaves to make 288 ounces of tea

$= \frac{288}{4} = 72\hspace{0.1cm}grams\hspace{0.1cm}of\hspace{0.1cm}tea\hspace{0.1cm}leaves$

The answer is 72 grams of tea leaves are required to make 288 ounces of tea.

Therefore last week Yvette used 72 grams of tea leaves to make 288 ounces of tea.

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3 years ago