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2 years ago

What is the length of line segment DG? 4 units 7 units 12 units 23 units

Mathematics

2 answers:

Liula [17]2 years ago

8 0

The value of x according to the secant-secant theorem is 4

<h3>Secant-secant theorem</h3>

Secant-secant theorem states if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Using the equation below;

6(x+6) = 5(5+x+3))

Expand the expression
6x+36 = 5(x+8)

6x + 36 = 5x + 40

Subtract 5x from both sides

6x-5x +36 = 40

Subtract 36 from both sides

6x - 5x = 40 - 36

x = 4

Hence the value of x according to the secant-secant theorem is 4

Learn more on secant-secant theorem here: brainly.com/question/26826991

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QveST [7]2 years ago

6 0

Answer:

The value of x according to the secant-secant theorem is 4

Step-by-step explanation:

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3 over 12 in simplest form

Novosadov [1.4K]

Answer:

1/4

Step-by-step explanation:

3/12

Both the top and bottom number can be divided by 3

12 / 3

1/ 4

7 0

4 years ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp

jeka94

Josh has hiked 17 km, which is 2 km away from being 1/2 done.
<span>In a equation, this might look like: 17 + 2 = (1/2)h </span>
<span>where h is the length of the hike. </span>
<span>and solve for h, h = 38 km

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7 0

3 years ago

Read 2 more answers

15. Bradford opens a savings account with an initial deposit of $4,000. Each month, he withdraws $500 from the account. Let m re

statuscvo [17]

Answer:

8 months

Step-by-step explanation:

They have $4,000

They are taking out $500 per month (consistent rate of change)

Divide the amount being withdrawn by the total amount of money in the account.

4,000/500=8

Therefore, in 8 months, the bank account will be depleted.

5 0

4 years ago

Find the slope of the line.

Stels [109]

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line

3 0

3 years ago

Read 2 more answers

Equations, Their Slopes And Y-intercepts.

nataly862011 [7]

$Standard\ form:\ Ax+By=C\\\\Slope-intercept\ form:\ y=mx+b\\m-slope,\ b-y-intercept$

$Slope:\ m=\dfrac{b}{a}\\\\\uparrow b\ units\ if\ b > 0\\\downarrow b\ units\ if\ b < 0\\\leftarrow a\ units\ if\ a < 0\\\rightarrow a\ units\ if\ a > 0$

----------------------------------------------------------------------------------

$Standard\ form:\\\\6x-24y=-48\\--------------------------\\6x-24=-48\qquad|-6x\\-24y=-6x-48\qquad|:(-24)\\y=\dfrac{-6}{-24}x+\dfrac{-48}{-24}\\--------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{1}{4}x+2\\---------------------------\\Slope:\\\\m=\dfrac{1}{4}\begin{array}{ccc}\uparrow\\\rightarrow\\\end{array}\\------------------------------\\y-intercept\to b=2\\\\(0,\ 2)$

$Standard\ form:\\\\6y+10x=42\\---------------------------------\\6y+10x=42\qquad|-10x\\6y=-10x+42\qquad|:6\\y=\dfrac{-10}{6}x+\dfrac{42}{6}\\----------------------------\\Slope-intercept\ form:\\\\y=\dfrac{-5}{3}x+7\\----------------------\\Slope:\\\\m=\dfrac{-5}{3}\begin{array}{ccc}\downarrow\\\rightarrow\end{array}\\-------------------------------\\y-intercept\to b=7\\\\(0,\ 7)$

$Standard\ form:\\\\-3y+7x=21\\--------------------------\\-3y+7x=21\qquad|-7x\\-3y=-7x+21\qquad|:(-3)\\y=\dfrac{-7}{-3}x+\dfrac{21}{-3}\\-------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{7}{3}x-7\\-------------------------\\Slope:\\\\m=\dfrac{7}{3}}\begin{array}{ccc}\uparrow\\\rightarrow\end{array}\\------------------------------------\\y-intercept\to b=-7\\\\(0,\ -7)$

7 0

4 years ago