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SIZIF [17.4K]
3 years ago
13

If segment DF is an angle bisector, solve for x

Mathematics
1 answer:
klasskru [66]3 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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Write an equation in point-slope form and
NikAS [45]

Answer:

y-3 = 4(x+2)  point slope form

y = 4x+11  slope intercept form

Step-by-step explanation:

Since we have a point and a slope, we will start with point slope form

y-y1 = m(x-x1)

y-3 = 4(x--2)

y-3 = 4(x+2)

This is point slope form

Distribute

y-3 = 4x+8

Add 3 to each side

y-3+3 = 4x+8+3

y = 4x+11

slope intercept form

3 0
3 years ago
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Answer:

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Step-by-step explanation:

now all you have to do is find factors which shouldn't be that hard

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6 0
3 years ago
a survey was conducted among 50 people on the ice cream flavor they like it was found out that 34 like chocolate 18 like manila
Tju [1.3M]

Answer:17.3964 males 7.6035 females

Step-by-step explanation:

The first way to calculate the expected uses the marginal percentages. If sex is not related to flavor preference, you would expect the same percentages of males to prefer the same flavors as females. Since overall 20.71% prefer vanilla, you would expect 20.71% of males to prefer vanilla. Now, 20.71% of 84 people is 17.3964, so this is how many males you would expect to prefer vanilla. You would also expect 20.71% of the females to prefer vanilla, which is 17.6035. So you'd expect 17.3964 males and 17.6035 females to prefer vanilla.

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3 years ago
What sum of money amounts to rupees 545 4 at 8% BA in 30 months​
Mars2501 [29]

Answer:

let sum of money be x

amount=rupees5454

rate=8%

time=30 months

convert month into year

30/12=5/2 years

Step-by-step explanation:

interest=p*t*r/100

=x*5*8/100*2

=40x/200

=x/5

so to find principal use formula

amount=principal +interest

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5454=5x+x/5

5454*5=6x

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4545=x

therefore ,sum of money(principal)=rupees.4545

Hope this helps u!!

5 0
3 years ago
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