All categories

4 years ago

Vertical angles must?

Mathematics

1 answer:

lesya [120]4 years ago

7 0

B. They must be Be congruent

You might be interested in

-5,-2 5,-4 what's the slope

bekas [8.4K]

Answer:

Slope = -1/5

Step-by-step explanation:

(-5, -2)(5, -4)

Slope: $\frac{y^{2}-y^{1} }{x^{2}- x^{1} } = \frac{-4-(-2)}{5-(-5)} =\frac{-4+2}{5+5} =\frac{-2}{10}=-\frac{1}{5}$

7 0

3 years ago

Read 2 more answers

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Jennifer decided to buy a brand new television. She spent nearly $2,000 on the TV, which was 40% off the original price. What wa

vichka [17]

Cómo Cómo estás Muy bien o te preguntan en mí porque yo no creo que sea ahorita en este momentito pero lo hice con esa no porque quiero ver 5 puntos

3 0

3 years ago

Read 2 more answers

Find the area of the figure below 8 inches, 5 inches

Daniel [21]

Answer:

ITS 40

Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40

4 0

3 years ago

How many yards are there in 5 miles?

weqwewe [10]

Answer:

8800

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers