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4 years ago

What is the nth term in the sequence: 15, 22, 31, 42, 55

Mathematics

1 answer:

Lynna [10]4 years ago

5 0

Counting by seven’s then 9 then 10 then 13

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Given this proportion, what ratio completes the equivilent proportion a/8?

Paladinen [302]

To solve this problem you must follow the steps below:

You have a/b=8/15, Then:

1. You must divide in both side of the given proportion by 8:

a/bx8=8/15x8

2. When you simplify, you obtain:

a/8b=1/15

3. Now, you must multiply both sides by "b", as below:

axb/8b=1xb/15

4. Finally, when you simplify, you have:

a/8=b/15

8 0

3 years ago

Write the ratio 3 to 10 in two different ways.

sashaice [31]

Answer:

3/10, 3:10

Step-by-step explanation:

3 to 10 : 3/10, 3:10

5 0

3 years ago

4. If TV = 14x - 8, find TU. 9x+2 5

Musya8 [376]

Answer:

x = 3

Explanation:

The complete question is shown in the attached diagram

Collinear points are defined as points that lie on the same straight line

Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line

Now, we are given that point U is between points T and V

This would mean that the length of segment TV can be written as the sum of the segments TU and UV

Therefore:

TV = TU + UV

We are given that:

TV = 14x - 8

TU = 9x + 2

UV = 5

Substitute with the givens in the above mentioned equation and solve for x as follows:

TV = TU + UV

14x - 8 = 9x + 2 + 5

14x - 8 = 9x + 7

14x - 9x = 7 + 8

5x = 15

x = 3

Hope this helps :)

5 0

4 years ago

Which of the following options have the same value as 70% of 80 Choose 3.

svlad2 [7]

Answer:

56 is the answer so it's A, C and E.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4).

mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6$

In triangle STU:

$|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2$

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

6 0

3 years ago

Read 2 more answers