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3 years ago

In the diagram, ΔPMN ≅ ΔQSR If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN

Mathematics

2 answers:

Tamiku [17]3 years ago

6 0

PN=20
Because,/_\PMN_~/_\QSR

emmasim [6.3K]3 years ago

6 0

Answer:

20 in

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What is the sum of the arithmetic series

docker41 [41]

Answer:

$S_ {12} = 192$

Step-by-step explanation:

The nth term of the given arithmetic sequence is

$U_n = 3 + 2n$

The first term of this series is:

$U_1 = 3 + 2(1) = 5$

The last term of this series is when

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$U_ {12}= 3 + 2(12)$

$U_ {12}= 3 + 24 = 27$

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

$S_n = \frac{n}{2}(a + l)$

Where a=5 is the first term and l=27 is the last term.

$S_ {12} = \frac{12}{2}(5 + 27)$

$S_ {12} =6(32) =19 2$

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lukranit [14]

Answer:

Step-by-step explanation:

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What is the slope of the line through (2, -1) and (-2, -3)?

prohojiy [21]

$\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12$

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2 years ago

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Write each equation in standard form. identify A,B,C.

aleksley [76]

Write in y=ax²+bx+c form
solve for y

given
$\frac{x+5}{3}=-2y+4$
solve for y

easy
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times -1/2 to both sides
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a=0
b= $\frac{-1}{6}$
c= $\frac{4}{5}$

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