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3 years ago

Find the value of n so that PQRS is an isosceles is an isosceles trapezoid

Mathematics

2 answers:

Vlad1618 [11]3 years ago

8 0

Answer:

n=7.5°

Step-by-step explanation:

As the two lines are parallel do the equation is

(10n+19)+(12n-4)=180

10n+19+12n-4=180

22n+15=180

22n=180-15

22n=165

n=165/22

n=15/2

n=7.5

n=7.5°

inessss [21]3 years ago

8 0

Answer: it’s 11.5

Step-by-step explanation: I got it right

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2 years ago

Read 2 more answers

Find the slope of the given points (2,5) and (8,-3) and write the equation

max2010maxim [7]

Answer:

Slope = $\frac{-4}{3}$

4x + 3y = 23

Step-by-step explanation:

slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-5}{8-2} =\frac{-8}{6} =\frac{-4}{3}$

The equation:

$\frac{y-y_{1} }{x-x_{1} }=m$ m is the slope

$y-y_{1}=m(x-x_{1} )$

y - 5 = -4/3 (x - 2) Multiply both sides by 3

3y -15 = -4 (x - 2)

3y - 15 = -4x + 8

3y + 4x = 8 + 15

3y + 4x = 23

4x + 3y = 23

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3 years ago

Monica paid sales tax of $1.80 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge fo

Anna11 [10]

Answer:

$20 dollars

Step-by-step explanation:

1.80 / .09 (9% in decimal form)

= 20

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2 years ago

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2 years ago

The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$

$p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x$

If $r_{1} = 0$ , then:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$

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2 years ago