Which angles are a linear pair

1 answer:

8 0

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

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Answer this ASAP I really need it

Ede4ka [16]

Given the expression
-2 + 6.45z - 6 + (-3.25z)

First, classify like terms, constant with constant, coefficient-variable with coefficient-variable
-2 + 6.45z - 6 + (-3.25z)
= 6.45z + (-3.25z) - 2 - 6

Second, combining like terms
= 6.45z + (-3.25z) - 2 - 6
= 6.45z - 3.25z - 8
= 3.20z - 8

The simplest form is 3.20 - 8

8 0

3 years ago

How much should you put in an investment paying a simple interest rate of 5% if you needed $4000 in eighteen mont

Eddi Din [679]

now, there are 12 months in a year, so 18 months is really 18/12 of a year, thus

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ 4000=P[1+(0.05)(\frac{3}{2})]\implies 4000=P(1.075) \\\\\\ \cfrac{4000}{1.075}=P\implies 3720.93\approx P$