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2 years ago

What is the answer to this question

Mathematics

1 answer:

Sonja [21]2 years ago

6 0

First we need to understand that the sum of adjacent angles on a straight line is 180°,meaning that when all the angles are added up the answer would be 180°

Here's how we can set up the equation:

2x+100°=180°
2x=80°
x=40°

Thus the answer is 40°

Again,hope it helps!

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Express 96 as the product of prime factors need it asap plzz write the method too

Murrr4er [49]

Given:

The given number is:

$96$

To find:

The product of prime factors of given number.

Solution:

We have,

$96$

The prime factors of given number are:

2 | 96

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

| 1

So, 96 can be written as:

$96=2\times 2\times 2\times 2\times 2\times 3$

Therefore, the 96 as the product of prime factors is $96=2\times 2\times 2\times 2\times 2\times 3$ .

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2 years ago

What is the answer to this problem? 2(-7+x)>-2

mina [271]

Isolate the variable by dividing each side by factors that don't contain the variable.

x > 6

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2 years ago

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

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Ivanshal [37]

Answer:

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Step-by-step explanation:

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ehidna [41]

Answer:(5m-3n)(2m+p)

Step-by-step explanation:

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