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3 years ago

KM and NP are parallel lines. Which angles are corresponding angles?

Mathematics

1 answer:

Charra [1.4K]3 years ago

5 0

Answer:

nol and klj

Step-by-step explanation:

since they are parallel lines you would look for which angles correspond to the sample place on the intersection

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to start to solve the system of equations below, which number would you multiply in the equation -2x-5y=-1? The two equations ar

Leviafan [203]

Answer:

The first equation can be multiplied by 2.

Step-by-step explanation:

The x-coefficients are -2 and 4. If the first one of these is multiplied by 2, it will be the opposite of the second of these. That is 2·(-2) = -4. When -4 and 4 are added, the result is 0, so the x-variable will be eliminated.

To solve these equations by "elimination", you look for simple relationships between the coefficients that will let you combine them to get zero.

_____

Here's the rest of the solution.

2(-2x-5y) +(4x+2y) = 2(-1) +(8) . . . . after multiplying the first equation by 2 and adding the second equation

-4x -10y +4x +2y = -2 +8 . . . . . the result of eliminating parentheses

-8y = 6 . . . . . the result of collecting terms

y = -6/8 = -3/4 . . . . divide by the y-coefficient

Since all of the coefficients in the second equation are even, a factor of 2 can be removed, and the equation written as ...

2x +y = 4

This can be solved for x, so you have ...

x = (4 -y)/2 = 2 -(y/2)

Filling in the above value of y, we find x to be ...

x = 2 -(-3/4)/2

x = 2 3/8

_____

<em>Comment on eliminating y instead of x</em>

If you divide the second equation by 2 so that y has a coefficient of 1, then you can multiply this equation by 5 to give y a coefficient that is the opposite of the coefficient -5 in the first equation. Then the elimination looks like

(-2x -5y) +5(2x +y) = (-1) +5(4)

-2x -5y +10x +5y = -1 +20 . . . . eliminate parentheses

8x = 19 . . . . simplify

x = 19/8 = 2 3/8 . . . . divide by the coefficient of x

5 0

3 years ago

The time it takes to travel a fixed distance varies inversely with the speed traveled. It takes

uysha [10]

first off, let's notice that Purple's time is in minutes, whilst the rate is in miles per hour, the units of both must correspond, so, we can either change the time from minutes to hours or the rate from hours to minutes, hmmm let's change the time to hours.

so 40 minutes, we know there are 60 minutes in 1 hour, so 40 minutes will be 40/60 of an hr, or namely 2/3.

$\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill$

$\stackrel{\begin{array}{llll} \textit{\tiny "t"ime varies}\\ \textit{\tiny inversely with "s"peed} \end{array}}{t = \cfrac{k}{s}}\qquad \textit{we know that} \begin{cases} t=\stackrel{minutes}{40}\to \stackrel{hrs}{\frac{2}{3}}\\ s=\stackrel{m/h}{9} \end{cases} \implies \cfrac{2}{3}~~ = ~~\cfrac{k}{9} \\\\\\ 18=3k\implies \cfrac{18}{3}=k\implies 6=k~\hfill \boxed{t=\cfrac{6}{s}} \\\\\\ \textit{when s = }\stackrel{m/h}{12}\textit{ what is "t"?}\qquad t=\cfrac{6}{12}\implies t=\cfrac{1}{2}$

6 0

2 years ago

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi startroot

faust18 [17]

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

<h3>What is the equation for the time it takes for the pendulum to swing back and forth?</h3>

The equation is given as follows:

$f(l) = 2\pi\frac{l}{32}$

In which l is the length of the pendulum.

In this problem, we have that $f(l) = 2.4\pi$ , hence:

$f(l) = 2\pi\frac{l}{32}$

$2.4\pi = 2\pi\frac{l}{32}$

l = 32 x 1.2

l = 38.4 ft.

More can be learned about equations at brainly.com/question/25537936

#SPJ4

6 0

2 years ago

Read 2 more answers

Calculate 5% of 88.5?

morpeh [17]

5% is just another way of writing 5/100

So we have 5/100 of 88.5 → 5100×88.5

This is the same as 5×88.5/100=5×0.885

But 5 is 1/2×10

So we can write 5×0.885 as 1/2×10×0.885

=1/2×8.85=4.425

hope it helps!

4 0

3 years ago

Read 2 more answers

I don’t feel like solving it

Lana71 [14]

Answer:

i cant see the paper srry

Step-by-step explanation:

8 0

2 years ago