1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Montano1993 [528]
3 years ago
6

Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14?

Mathematics
1 answer:
zlopas [31]3 years ago
6 0

Answer:

D. 1.5

Step-by-step explanation:

One basic property you need to keep in mind while solving theses type of questions is as follows :

<u>The length of tangents from an external point on a circle are equal</u>. For simplicity a figure illustrating this property is attached.

  • Length of RS = 6 ; Length of AS = RS - AR = 6-x

Consider S as external point and tangents as SA and SB, so SB=SA=6-x

  • Length of ST = 9 ; Length of TB = ST - SB = 9 - (6-x) = 3+x

Consider T as external point and tangents as TB and TC, so TC=TB=3+x

  • Length of TU = 7 ; Length of UC = TU - TC = 7 - (3+x) = 4-x

Consider U as external point and tangents as UC and UD, so UD=UC=4-x

  • Length of UV = 15 ; Length of VD = UV - UD = 15 - (4-x) = 11+x

Consider V as external point and tangents as VD and VE, so VE=VD=11+x

  • Length of VR = 14 ; Length of RE = VR - VE = 14 - (11+x) = 3-x

Now, Consider R as external point and tangents as RA and RE, so

RA = RE

x = 3 - x

2x = 3

x = \frac{3}{2}

x = 1.5

You might be interested in
Please help if you can!!!!
storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y  y = 15-x    substitute into second equation

1.5x + .75(15 - x) = 18    

You should get the correct answer for number of hot dogs if you solve this correctly.  Put your answer in the x + y =15 equation to get y.  Then put both x and y into the cost equation and check your answer.

Hope this helps.

Step-by-step explanation:

5 0
3 years ago
The probability of pulling an orange is 2 out of 5 if I 20 times how many of them would be orange
telo118 [61]
The answer would be 8.
4 0
3 years ago
The base of a pyramid has n sides write an expression for the number of faces of the pyramid
kumpel [21]
A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

number of faces = n + 1.
6 0
3 years ago
Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.
IceJOKER [234]

Answer is 12

I hope this helps enough

7 0
3 years ago
If a cross section was cut that was parallel to the base of a triangular prism below a shape with that cross section be ?
velikii [3]
The answer is A) square
6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help ASAP !!!!!
    9·2 answers
  • What is another way to write the equation 7/8x+3/4= -6?
    8·2 answers
  • A water storage tank is in the shape of a hemisphere (half a sphere) If the radius is 15 ft, approximate the volume of the tank
    13·1 answer
  • Numbers between 590 and 610 divisible by 2 3 5 and 10
    9·1 answer
  • Simplify the algebraic expression 8y-2(y+4)
    6·2 answers
  • The axis of the sphere below is 14 units in length. What is the surface area of
    6·2 answers
  • Sixteen of the 24 schools in Ryan's county are public schools. Ryan used this spinner to predict the probability that the winner
    15·1 answer
  • Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose th
    13·1 answer
  • Scotty buys 10 bananas for $15. At this rate, how much will Scotty pay for 3 bananas?
    12·1 answer
  • Can someone help me on this plzzz and thank u
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!