Is 3x+4y=8 parallel or perpendicular

Find the values of the variables for the parallelogram if m<1=4y-2. Round your answers to two decimal places if necessary!

hichkok12 [17]

The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.

The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

$\begin{gathered} 4y-2=90 \\ 4y=92 \\ y=23 \end{gathered}$

The value of y is 23.

The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

$\begin{gathered} 3x=45 \\ x=15 \end{gathered}$

Thus, the value of x is 15 degrees.

The value of 12z is 45 degrees.

$\begin{gathered} 12z=45 \\ z=3.75 \end{gathered}$

Thus, the required value of z is 3.75 degrees.

3 0

1 year ago

A football team lost 4 yards on each of 2 plays, gained 14 yards on the third play, and lost 5 yards on the forth play. Write an

yanalaym [24]

2 x -4 + 14 - 5
-8 +14 - 5
6 - 5
1

3 0

3 years ago

24 is 31.25% of what number? Prove your answer in the show your workbox.

FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x - we multiply both sides of the equation by x

100=1.3020833333333*x - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

6 0

3 years ago

Read 2 more answers

Jethro has paid his annual taxes.He knows that his tax is 27% of his taxable income.If he made $68,000 last year,which proportio

Hatshy [7]

Answer:

$\frac{x}{68,000}= \frac{27}{100}$

Step-by-step explanation:

Let

x ----> amount that Jethro owes in taxes

we know that

Amount that he made last year $\$68,000$

His tax rate $27\%=\frac{27}{100}$

Applying proportion

$\frac{x}{68,000}= \frac{27}{100}$

solve for x

$x=68,000(27)/100\\x=\$18,360$

4 0

3 years ago

Encuentra la velocidad promedio de un móvil que durante su recorrido hacia el Norte tuvo las siguientes velocidades.

yan [13]

The mean or average speed of a mobile moving north is: Vprom= 20.575 m/sec

The average speed of a series of given speed values is calculated by summing each of the speeds and then dividing by the number of speeds , as follows:

Speeds:

V1=18.5m/s

V2=22m/s

V3=20.3m/s

V4=21.5m/s

V avg =?

Average V = ( V1+V2+V3 +V4)/4

Vavg = (18.5m/s + 22m/s +20.3m/s + 21.5m/s)/4

Vavg = 20.575nm/sec

To consult visit: brainly.com/question/11100327

5 0

2 years ago