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artcher [175]
2 years ago
5

One of the angles of a regular octagon has a measure of (7x-5) What is the value of x?

Mathematics
2 answers:
Nesterboy [21]2 years ago
6 0

Answer:

20

Step-by-step explanation:

Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).

135 = 7x - 5,

135 + 5 = 7x,

140 = 7x,

140 / 7 = x,

20 = x

SIZIF [17.4K]2 years ago
4 0

Answer:

  x = 20

Step-by-step explanation:

The interior angles of a regular octagon have measures of ...

  180° -360°/8 = 135°

We want that equal to the given expression.

  7x -5 = 135

  7x = 140 . . . . add 5

  x = 20 . . . . . divide by 7

The value of x is 20.

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A large water tank holds 210 liters of water. About how many gallons of water does the same tank hold, if there are approximatel
shusha [124]

Answer:

Step-by-step explanation:

Set up a proportion

15 Liters / 4 gallons = 210 Liters / x      Cross Multiply

15x = 4 * 210                                           Combine the right

15x = 840                                                Divide by 15

x = 840 / 15

x = 56 gallons

4 0
3 years ago
Rectangle PQRS is rotated 90 counterclockwise about the origin what are the coordinates of point Q
inna [77]
You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.

When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)

Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)

point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)

point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)

Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)

Hope this helps :)
5 0
3 years ago
Read 2 more answers
A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of
Katena32 [7]

Answer:

x=72.6

Step-by-step explanation:

use inverse trig because your finding a missing angle. use tan because you haved opp/adj

tan-1=(16/5)

x=tan-1(16/5)

*use a calculator

x=72.6

5 0
3 years ago
Suki has 54 rock songs, 92 dance songs and 12 classical songs on her playlist. If Suki’s music player randomly selects a song fr
Ksenya-84 [330]

Answer:

92.4% or 73/79

Step-by-step explanation:

You have to add up all the individual songs, which is 158. Then add up the number of songs that aren't classical, which is 146. Then divide 146 by 158 which gives you your answer.

7 0
3 years ago
Which numbers are rational numbers that are not integers?<br><br> 0,4,-2,2/3,-1.8,16,3.2,-5/4
Anna [14]

Answer:

-1.8, -5/4, 3.2, 2/3

Step-by-step explanation:

5 0
3 years ago
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