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2 years ago

2.2.3 Quiz: Angle Theorems

Mathematics

1 answer:

serious [3.7K]2 years ago

8 0

The value of y is 40 degree , Option B is the correct answer.

<h3>What is Angle Sum Property ?</h3>

According to angle sum property, the sum of all angles of a triangle is equal to 180 degree.

It is given in the question a triangle , here

the angles given are 2y , y+10 , 50 degree

From the property ,

2y + y + 10 +50 = 180

3y +60 = 180

3y = 120

y = 40 degree

Therefore The value of y is 40 degree , Option B is the correct answer.

To know more about Angle Sum Property

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Mr. Rawlings had 60 cookies he wanted to give each of his 16 grandchildren the same number of cookies what is the greatest numbe

Solnce55 [7]

He could give each grandchild 3 cookies each. He would then have 12 cookies remaining.

You would divide 60 by 16 which would be 3 with a remainder of 12. The remainder is the number of cookies left after giving each grandchild the same amount of cookies each.

I hope this helps!

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3 years ago

Plz help<br> i will give brainlest

worty [1.4K]

Answer:

Option C

Step-by-step explanation:

${ (\frac{ {x}^{4} }{ {7}^{ - 8} } ) }^{ - 7}$

$= \frac{ {x}^{4( - 7)} }{ {7}^{( - 8)( - 7)} }$

$= \frac{ {x}^{ - 28} }{ {7}^{56} }$

${x}^{ - 28} \times {7}^{ - 56}$

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3 years ago

Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank

pav-90 [236]

Answer:

$g(n) = 10 * 3^{n}$

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

$d = g(n) - g(n-1)$

Take n as 1

$d = g(1) - g(1-1)$

$d = g(1) - g(0)$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$d = 30 - 10$

$d = 20$

Take n as 2

$d = g(2) - g(1)$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$d = 90 - 30$

$d = 60$

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

$r = \frac{g(n)}{g(n-1)}$

Take n as 1

$r = \frac{g(1)}{g(1-1)}$

$r = \frac{g(1)}{g(0)}$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$r = \frac{30}{10}$

$r = 3$

Take n as 2

$r = \frac{g(2)}{g(1)}$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$r = \frac{90}{30}$

$r = 3$

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

$g(n) = g(0) * r^{n}$

Substitute values for g(0) and r

$g(n) = 10 * 3^{n}$

Hence:

The explicit formula is: $g(n) = 10 * 3^{n}$

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2 years ago

Average national teachers salaries can be modeled using the equation y=9.25(1.06)^n , where y is the salary in thousands of doll

kiruha [24]

$y=9.25(1.06)^{n}$
Plug in $n$ to find $y$ .
$n$ would be $50$ because $2020-1970=50$ .

Use order of operations to solve.
$y=9.25(1.06)^{50} \\ y=9.25(18.42) \\ y=170.39$

Since $y$ is the salary in thousands, multiply $170.39$ by $1000$ .
$170.39*1000=17039$

A teacher can expect to have about $17,039 as a salary in the year 2020.

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3 years ago

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IgorLugansk [536]

Answer:

9.53 cm2

Step-by-step explanation:

hope it helps

Here is the solution:

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3 years ago