Question #5

Mathematics

2 answers:

Nat2105 [25]1 year ago

3 0

Answer:

x=10.25

Step-by-step explanation:

If the two angles are congruent, then the measures are equivalent. Therefore, we can set the measures equal to each other and solve for x.

5x+24=9x-17

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtrct 5x from both sides.

5x-5x+24=9x-5x-17

24=9x-5x-17

24=4x-17

Next, add 17 to both sides.

24+17=4x-17+17

24+17=4x

41=4x

Lastly, divide both sides by 4, since 4 and x are being multiplied (4*x=4x).

41/4=4x/4

41/4=x

10.25=x

If the angles are congruent, then the value of x is 10.25.

castortr0y [4]1 year ago

3 0

Answer:

10.25

Step-by-step explanation:

5x + 24 = 9x - 17
9x-5x=24+17
4x=41
x=41/4
x=10.25

You might be interested in

The following data shows the low temperature in Vancouver, in degrees Celsius, for two weeks in January one year. 8.90, 8.35, 8.

frutty [35]

There is no option of the box plots, so I have created a version that would represent this data.

To make the box plot you will need the lower extreme, lower quartile, median, upper quartile, and upper extreme.

Please see the attached picture.