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VashaNatasha [74]
2 years ago
5

The convex polygon below has 8 sides. Find the value of x ?

Mathematics
1 answer:
bulgar [2K]2 years ago
5 0

The missing interior angle, x, of the convex polygon is 168⁰.

<h3>Sum of interior angles of convex polygon</h3>

The sum of interior angles of a convex polygon is calculated as follows;

S = (n - 2) 180

S = (8 - 2) 180

S = (6) 180

S = 1080

The missing interior angle, x, is calculated as follows;

x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080

x + 912 = 1080

x = 1080 - 912

x = 168⁰

Learn more about interior angles of polygon here: brainly.com/question/24966296

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Name a pair of complementary angles and a pair of supplementary angles
makkiz [27]

Answer:

Step-by-step explanation:

m<POQ + m<SOR = 90º. This makes these two angles complementary.

m<POQ + m<QOR + m<SOR = 180º. This is because the measure of a straight line is 180º.

hope this helps, reach out if you have more questions!

5 0
3 years ago
Alex needs to buy compressed air to fill empty cylindrical tanks for his tire store. Each tank is 12 feet deep and has a radius
agasfer [191]
---------------------------------------
Formula
---------------------------------------
Volume = πr²h

---------------------------------------
Find Volume of one tank
---------------------------------------
Volume of 1 tank = πr²h
Volume of 1 tank = 3.14 x 6² x 12
Volume of 1 tank = 678.24 ft³

---------------------------------------
Find Volume of 5 tanks
---------------------------------------
Volume of 1 tank = 678.24
Volume of 5 tanks = 678.24 x 5 
Volume of 5 tanks = 3391.2 ft³

---------------------------------------
Answer: 3391.2 ft³
---------------------------------------

4 0
3 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
3 years ago
How many solutions does the equation below have?
miskamm [114]

Answer:

1. none

Step-by-step explanation:

When you simplify the expression, you see that the statement is is false for any value of x.

7 0
3 years ago
Read 2 more answers
mr.ross is building playroom.he is going to tile the flooring using 20cmx20cm tiles. the floor measures 2mx4m in area. how many
Valentin [98]

Answer:

200 tiles

Step-by-step explanation:

area of the floor = 2m×4m

the tile=20cm×20cm

the tiles needed to complete the job will be

2m×4m

——–—–

20cm×20cm

change the meters to centimeters

200cm×400cm

————————

20cm×20cm

therefore the answer is 200tiles.

3 0
2 years ago
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