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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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An a adult ticket to the zoo costs $20 and a child’s ticket costs $10.How much will it cost for Mr. and Mrs.Brown and their 4 ch
liubo4ka [24]

Answer:

Step-by-step explanation:

you add 20 for mr brown 20 for mrs brown 10 for kid one 10 for kid 2 ten for kid 3 and 10 for kid for giving you a grand total of 80 dollars

5 0
3 years ago
Read 2 more answers
Two boats leave a port at the same​ time, one going north and the other traveling south. The northbound boat travels 18 mph fast
shutvik [7]

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same​ time, one going north and the other traveling south.

<u>Southbound boat rate</u> = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

<u>Northbound boat rate</u> = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time =980:98=10 hours

3 0
3 years ago
For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun
Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate  the Curl F

Remember that:

        Curl F = <\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}>

1. Curl F = <0,0,5-5> = <0,0,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3x^{2} +5xy + 5y^{2}

  Then F is conservative

2. Curl F = < 0, 0 ,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3/2x^{2} -y^{2}+z

  Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

              = <0 ,0 , 10 +3xsin(y) + cos(y)<

 How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>  

  The potential function f so that  ∇f=F

  f(x,y,z) = x^{3}+(5/3)y^{3}+(5/3)z^{3}    

   Then F is conservative

5 0
3 years ago
A flatbed truck is being loaded with steel girders weighing 1825 lbs each. How much will 15 of these girders weigh, combined?
saw5 [17]
I think I know how it's done!

You need to multiply 1825 by 15. You may want to show the work in this one.

1825•15 = 27,375

Thus, the truck will be loaded with 27,375 lbs of steel girders.

Hope this helps you succeed!
6 0
3 years ago
Please solve them I really need help
Ugo [173]

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

8 0
3 years ago
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