All categories

3 years ago

Can someone tell me how to do this?

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

For #21, x = 35, y = 85

Step-by-step explanation:

For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.

We can see that there are two lines, and we are given 2 values to find with 3 possible equations.

[1] ( 2x + 25 ) + y = 180

[2] y + ( 3x - 10 ) = 180

[3] 2x + 25 = 3x - 10

Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.

2x + 25 = 3x - 10

2x + -2x + 25 + 10 = 3x + -2x + -10 + 10

35 = x

Now plug in the value of x to find y:

( 2x + 25 ) + y = 180

( 2(35) + 25 ) + y = 180

( 70 + 25 ) + y = 180

95 + y = 180

y = 85

We can check these values by plugging into the 2nd equation

x = 35 ; y = 85

y + ( 3x - 10 ) = 180

(85) + (3(35) - 10) = 180

85 + ( 105 - 10) = 180

85 + 95 = 180

180 = 180

Thus, we have validated our results and found the values of x and y.

Cheers.

You might be interested in

Penny gets paid $12 per hour to work at the coffee shop: The amount of money she earns depends on the number of hours she works.

prisoha [69]

Answer:

B- The dependent variable is the amount of money she earns, and the independent variable is the number of hours she works.

Step-by-step explanation:

The amount of money she earns depends on how many hours she works, making that the dependant variable.

6 0

3 years ago

Write y= 3/4x + 1/2 in standard form. Thanks in advance.

Luda [366]

I am not sure about the standard form.
is it the standard form of the nombers?
so y = 7,5.10 x + 5.10^-1
or the standard form of the equation?
a point of the line is (2,2)
so the equation can be written y - 2 = 3/4(x - 2)
i hope that It could help you.
bye.

8 0

3 years ago

Can you plss help me with 31

hammer [34]

There are 52 weeks in a year.

$37 * 52 = $1924

Hence, $2000 is just about right. (B)

4 0

3 years ago

Romance she had a total of $180 in her account for how many months did hula save

anyanavicka [17]

If Hula got $15.00 a month than 12 months. But this question needs more information.

3 0

4 years ago

F(x)= -x over x^2+5 on the domain [0,4]

BartSMP [9]

If you're asking for extrema, like the previous posting

well

$\bf f(x)=\cfrac{-x}{x^2+5}
\\\\\\
\cfrac{df}{dx}=\cfrac{(x^2+5)+2x^2}{(x^2+5)^2}\implies \cfrac{df}{dx}=\cfrac{5+3x^2}{(x^2+5)^2}\impliedby 
\begin{array}{llll}
using\ the\\
quotient\ rule
\end{array}$

like the previous posting, since this rational is identical, just that the denominator is negative, the denominator yields no critical points

and the numerator, yields no critical points either, so the only check you can do is for the endpoints, of 0 and 4

f(0) = 0 <---- only maximum, and thus absolute maximum

f(4) ≈ - 0.19 <---- only minimum, and thus absolute minimum

5 0

3 years ago