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3 years ago

Plea look at the photo of Parallelogram properties.

Mathematics

1 answer:

Yuliya22 [10]3 years ago

3 0

Answer:

1. 45

2. 105

3. 95

4. 85

Step-by-step explanation:

For problems 1 and 4:

Consecutive angles are supplementary in a parallelogram, which means they equal 180.

180 - 135 = 45

180 - 95 = 85

For problems 2 and 3:

Opposite angles are congruent or equal each other in a parallelogram,

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The triangles are similar. If KL = 5, JL = 6, and PM = 9, find PN. Round to the nearest tenth.

Pachacha [2.7K]

If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.

5/6 = x/9, where x is the length for side PN

Transposing the equation so that x is on the left side:

x = (5/6)*9
x = 7.5

6 0

3 years ago

Please help very urgent

Alik [6]

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

3 0

3 years ago

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Please help ASAP it’s due in a few minutes.

Leni [432]

Answer:

B is the grams of protein and cups of milk, 0 of each.

7 0

3 years ago

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This is important please help

Leya [2.2K]

Answer: C

Step-by-step explanation:

∑ 8( $\frac{7}{3}$ )⁽ⁿ⁻¹⁾ from n = 1 to n = 5

n = 1 → 8( $\frac{7}{3}$ )⁽¹⁻¹⁾

= 8 = $\frac{648}{81}$

n = 2 → 8( $\frac{7}{3}$ )⁽²⁻¹⁾

= $\frac{56}{3}$ = $\frac{1512}{81}$

n = 3 → 8( $\frac{7}{3}$ )⁽³⁻¹⁾

= $\frac{392}{9}$ = $\frac{3528}{81}$

n = 4 → 8( $\frac{7}{3}$ )⁽⁴⁻¹⁾

= $\frac{2744}{27}$ = $\frac{8232}{81}$

n = 5 → 8( $\frac{7}{3}$ )⁽⁵⁻¹⁾

= $\frac{19208}{81}$ = $\frac{19208}{81}$

Sum = $\frac{33128}{81}$

= 408.99

6 0

3 years ago

Write 14/5 as a mixed number in simplest terms.

VladimirAG [237]

The answer you are looking for is 2 4/5. Hope this helps.

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3 years ago

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