All categories

2 years ago

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

Mathematics

1 answer:

larisa [96]2 years ago

7 0

Answer:

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

$XD=\sqrt{20^{2} -12^{2} }=16$

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

You might be interested in

Find the distance from the point to the given plane. (−8, 6, 4), x − 2y − 4z = 8

Nikitich [7]

Lol just get a calculator and math paper. This is not cool, u aren't in college. Im in 7TH GRADE and I can do this garbage...

5 0

3 years ago

Find the inverse of the given matrix, if it exists.Aequals=left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 0 3

BabaBlast [244]

Answer:

$A^{-1}=\left[ \begin{array}{ccc} \frac{1}{9} & \frac{4}{27} & - \frac{2}{27} \\\\ \frac{8}{9} & \frac{5}{27} & \frac{11}{27} \\\\ - \frac{4}{9} & \frac{2}{27} & - \frac{1}{27} \end{array} \right]$

Step-by-step explanation:

We want to find the inverse of $A=\left[ \begin{array}{ccc} 1 & 0 & -2 \\\\ 4 & 1 & 3 \\\\ -4 & 2 & 3 \end{array} \right]$

To find the inverse matrix, augment it with the identity matrix and perform row operations trying to make the identity matrix to the left. Then to the right will be inverse matrix.

So, augment the matrix with identity matrix:

$\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 4&1&3&0&1&0 \\\\ -4&2&3&0&0&1\end{array}\right]$

Subtract row 1 multiplied by 4 from row 2

$\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ -4&2&3&0&0&1\end{array}\right]$

Add row 1 multiplied by 4 to row 3

$\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ 0&2&-5&4&0&1\end{array}\right]$

Subtract row 2 multiplied by 2 from row 3

$\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ 0&0&-27&12&-2&1\end{array}\right]$

Divide row 3 by −27

$\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ 0&0&1&- \frac{4}{9}&\frac{2}{27}&- \frac{1}{27}\end{array}\right]$

Add row 3 multiplied by 2 to row 1

$\left[ \begin{array}{ccc|ccc}1&0&0&\frac{1}{9}&\frac{4}{27}&- \frac{2}{27} \\\\ 0&1&11&-4&1&0 \\\\ 0&0&1&- \frac{4}{9}&\frac{2}{27}&- \frac{1}{27}\end{array}\right]$

Subtract row 3 multiplied by 11 from row 2

$\left[ \begin{array}{ccc|ccc}1&0&0&\frac{1}{9}&\frac{4}{27}&- \frac{2}{27} \\\\ 0&1&0&\frac{8}{9}&\frac{5}{27}&\frac{11}{27} \\\\ 0&0&1&- \frac{4}{9}&\frac{2}{27}&- \frac{1}{27}\end{array}\right]$

As can be seen, we have obtained the identity matrix to the left. So, we are done.

6 0

3 years ago

Fraction simplifier de <img src="https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B35%7D" id="TexFormula1" title="\frac{15}{35}" alt="\f

Pavel [41]

You have to divide them with 5
3/7

3 0

3 years ago

Write an addition problem that is modeled by the following number line :

rewona [7]

Answer:

-10+15

Step-by-step explanation:

Pls Brainliest! ;) It would mean a lot! Also this is called integers addition on a line plot.

3 0

3 years ago

Read 2 more answers

Please help me with my work give brainlessly

Anestetic [448]

Answer:

Volume = 684 in^3

Step-by-step explanation:

To start, the equation for Volume = L*W*H

So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:

6*6*6 to get the volume of just it

216

Next. lets get the rectangular prism.

6*6*13

468

Last, combine these.

684 in^3

5 0

3 years ago

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 SD=12 and SX=20 what is the measure of CX?