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professor190 [17]
2 years ago
9

Two of the angles in a triangle measure 15° and 27°. What is the measure of the third angle?

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0

Answer:

103

Step-by-step explanation:

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Which function represents the graph of h(x)=2|x+3|−1 after it is translated 2 units right?
harina [27]

\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}

\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}

now with that template in mind

\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill

8 0
3 years ago
Read 2 more answers
Bessie bought 10 gallons of Bush's Sweet Tea for a family reunion. How many liters did Bessie buy?
Liula [17]

Step-by-step explanation:

If 1 gallon = 3.785 litres

Then, 10 gallons = 37.85 litres

4 0
3 years ago
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
Veronika [31]
To solve you first need to pick out the most important information,
~Spent 20 minutes 
~Each prob takes 2 minutes
Lets have y be the total time spent, and x the number of probs
(y/2) = x
Hope this helped!! ^-^


6 0
3 years ago
Read 2 more answers
Solve the quadratic equation 3x²+x-5=0
PIT_PIT [208]
This does not look easy to factor, so I'd suggest using the quadratic formula:
        -1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
                               2*3

         -1 plus or minus sqrt(61)
    = ------------------------------------
                             6

Thus, there are 2 real, unequal, irrational roots / solutions.
8 0
3 years ago
Y=1/3x-3<br> Y=-x+5 <br> How do I solve
ehidna [41]

Since both equations are equal to y, we can just combine them like this:

1/3x-3=-x+5

1/3x=-x+8

4/3x=8 (since x is 1x which is 3/3x)

x=6

Plug x back in:

y=-6+5

y=-1

So x=6 and y=-1

Hope this helped!

4 0
3 years ago
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