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SIZIF [17.4K]
2 years ago
13

If segment DF is an angle bisector, solve for x

Mathematics
1 answer:
klasskru [66]2 years ago
8 0

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

\frac{DE}{DG} = \frac{EF}{GF} , substitute values

\frac{25}{22.5} = \frac{x-9}{9} ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

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Find the 44th percentile, P44, from the following data! pls help
irina [24]

Answer:

P_{44} = 29.9

Step-by-step Explanation:

The 44th percentile, P_{44}, of the given data can be calculated using the kth formula for percentile given as:

i = \frac{k}{100}(n + 1)

where,

i = the ranking or the position of the percentile = ?

k = the percentile = 44

n = total number of the given data values = 23

Plug in the values into the formula to find "i"

i = \frac{44}{100}(23 + 1)

i = \frac{44}{100}(24)

i = \frac{1,056}{100}

i = 10.56

Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.

Thus,

i_{down} = 10.56 = 10

i_{up} = 10.56 = 11

The data occupying the 10th position on the data set = 28.7

11th = 31.1

P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2}

P_{44} = 29.9

6 0
2 years ago
(4+2n^3) + (5n^3+2)
pychu [463]
You just have to combine like terms here
6+7n^3 is the final answer

8 0
2 years ago
Read 2 more answers
Evaluate the expression when m=-6.<br> 2<br> m + 5m - 4
Brums [2.3K]

Answer:

2

Step-by-step explanation:

m^2 + 5m - 4

Let m = -6

( -6) ^2 + 5(-6) -4

Exponents first

36 + 5(-6) -4

Then multiply

36 -30 -4

Then subtract

6 -4

2

5 0
3 years ago
What is 4×7 Please answer
stealth61 [152]
4 x 7= 28

BTW no calculator. Did it in my head. Hope this helps!
5 0
3 years ago
Read 2 more answers
A: 5x − 2y = 10
Nuetrik [128]

Answer:

D) Multiply A by -4 and B by 5

Step-by-step explanation:

5x-2y=10

4x+3y=7

----------------

-4(5x-2y)=-4(10)

5(4x+3y)=5(7)

----------------------

-20x+8y=-40

20x+15y=35

---------------------

23y=-5

y=-5/23

5x-2(-5/23)=10

5x+10/23=10

5x=10-10/23

5x=230/23-10/23

5x=220/23

x=(220/23)/5

x=(220/23)(1/5)

x=220/115

x=44/23

7 0
3 years ago
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