maudiejane maudiejane
  • 12-02-2019
  • Mathematics
contestada

AB and CD are common external tangents of R and S AB =15 SD=12 and SX=20 what is the measure of CX?​

AB and CD are common external tangents of R and S AB 15 SD12 and SX20 what is the measure of CX class=

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 12-02-2019

Answer:

31

Step-by-step explanation:

In circle S: XB and XD are tangents at B and D

then SB perpendicular to AX and SD perpendicular to XC

In triangle SDX:  SD = 12 and SX =20 by using Pythagoras Theorem

[tex]XD=\sqrt{20^{2} -12^{2} }=16[/tex]

XD = XB  tangents to circle S from point X

XA = XC tangents to circle R from point X

then BA = DC = 15

then XC = XD + DC = 16 + 15 = 31

Answer Link

Otras preguntas

Why did many Americans of the Northwest settle near the sea?
NEED HELP ASAP! The Process of mitosis and cytokinesis are used by humans in which of the following? I. asexual reproduction II. growth III. repair IV. replacem
Zoey signed up for a streaming music service that costs $7 per month. The service allows Zoey to listen to unlimited music, but if she wants to download songs f
Describe The Phenomenon ​
Which of the following elements is a ferromagnetic material A hydrogen B iron C carbon
What kind of schooling did Elizabeth Keckley receive
Please solve the equation -4(2z+6)-12=4
2. PART B: Which TWO details from the text best support the answer to Part A? O A "I saw this plane screaming overhead, he said. 'I thought it was too low. I th
3y + 8 = ½ y + 28 Find y
find the distance between (-8, -2) and 6, -1)