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kirill [66]
3 years ago
11

A regular pentagon ABCDE is shown. work out the size of angle x

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Answer:

36

Step-by-step explanation:

since a pentagon has 3 triangles in it and one of them are shown you must divide the intrior angle by 3.

540/5=108

108/3=36

x=36

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How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.
Svetllana [295]

Answer:

Given : Expression -x^3y^3+343

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)

First we convert the given expression in a^3+b^3

x^3y^3+343

Apply exponent rule : a^mb^m=(ab)^m

x^3y^3=(xy)^3

Rewrite 343=7^3

Therefore, x^3y^3+343  could be written as =\left(xy\right)^3+7^3

On comparison with the formula,

a=xy , b=7

\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)

\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)            

5 0
3 years ago
Read 2 more answers
Write down down an equation of a line that is parallel to the line with the equation y=7-x
Bingel [31]

Answer:

y=8-x or y=9-x or y=243-x (The spot where the 8 is can be any number as long as the number infront of the 0 is still -1)

Step-by-step explanation:

5 0
3 years ago
Mrs. Swanson gives out only one type of candy for Halloween. The local
xxTIMURxx [149]

Answer:

Cost of  18 pounds candy  = $22.5

Cost of 10 pounds candy = $12.5

Cost of 1 pound of candies  = $1.25

Step-by-step explanation:

6 pounds of butterscotch candies cost  $7.50

⇔ 1 pound of same candy costs \frac{7.50}{6}   =   $1.25

Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔   Cost of 6 x 3 =  18 pounds candy =  $7.50 x  3 = $22.5

Cost of 10 pounds candy =  10 x (Cost of 1 pound candy)

= 10 x ($1.25)  = $12.5

The unit rate for butterscotch candies   = Cost of 1 pound of candies

= $1.25

8 0
3 years ago
A pebble falls of a cliff at a height of 256 ft. If the equation for the height as a function is h(t)=-16^2 + initial height whe
AlladinOne [14]

Answer:

After 4secs

Step-by-step explanation:

Given the function of the height expressed as;

h(t)=-16^2 + initial height

If initial height = 256, then;

h(t) = -16t^2 + 256t

The pebble will hot the ground at when h(t) = 0

Substitute

0 = -16t^2 + 256t

16t^2 = 256

t^2 = 256/16

t^2 = 16

t = 4

Hence the pebble will hit the ground after 4secs

6 0
3 years ago
What does a residual value of 0.8 mean in reference to the line of best fit?
notka56 [123]

Answer:

i think its -The given point is 0.8 units above the line of best fit

Step-by-step explanation:

only because if it were -0.8 it would be below the line

6 0
3 years ago
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