What property is shown by the equation?

Can someone give me the right answer for this please? I'm so confused

photoshop1234 [79]

Answer:

JK = 18

Step-by-step explanation:

LK = x - 1

KJ = x + 11

LJ = LK + KJ = x - 1 + x + 11

-> LJ = 2x + 10

LM = 12

By tangent secant segment theorem:

$LK \times LJ = JM^2 \\ \\ \implies \: (x - 1)(2x + 10) = {(12)}^{2} \\ \\ \implies \: x (2x + 10) - 1(2x + 10) = 144\\ \\ \implies \: 2x^{2} + 10x - 2x - 10 - 144 = 0\\ \\ \implies \: 2x^{2} + 8x - 154 = 0\\ \\ \implies \: 2(x^{2} + 4x - 77) = 0\\ \\ \implies \: x^{2} + 4x - 77 = 0\\ \\ \implies \: x^{2} + 11x - 7x- 77 = 0\\ \\ \implies \: x(x + 11) - 7(x + 11) = 0\\ \\ \implies \: (x + 11) (x - 7) = 0 \\ \\ \implies \: (x + 11) = 0 \: \: or \: \: (x - 7) = 0 \\ \\ \implies \: x = - 11 \: \: or \: \: x = 7 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 11 \\ \\ \implies \: x = 7 \\ \\ \implies \: JK = x + 11 = 7 + 11 \\ \\ \implies \: \huge \: { \orange{JK =18}}$

Hope it helps you in your learning process.

Have a great day ahead.

4 0

2 years ago

5/6+2/9= in simplest form I NEED this plz help

tensa zangetsu [6.8K]

Answer: 1 1/18

Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but the Numerator is the top number of a fraction and the Denominator is the bottom a fraction. When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as 5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max (5/5 x 1/2 = 5/10= 1/2)

First, you need to find a like denominator, which is 18

Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3 ( 3/3 is just a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply 2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
Next you add them but only the numerator 15/18 + 4/18 = 19/18
Finally, you change the the fraction into a mixed number 1 and 1/18

6 0

3 years ago

6000 and 200 feet greater than less than or equal to 1 mile and 900 feet

dedylja [7]

6000 and 200 feet is greater than 1 mile and 900 feet

6 0

3 years ago

8.90+876.09=6.5-2.34

Drupady [299]

Um, I am sorry but this question is unanswerable. The reason for that matter is the desired answer is not specified in the question. (If the answer you seek is "Are they equal?" than the answer is no because the answers equal 884.99 and 4.16 so the answers do not equal. Hope that answer helped.)

5 0

4 years ago

Simplify 3(x - 6) - 4(x 3). a. -x - 30 b. -x - 9 c. -x - 6 d. -x2 - 30

Lelechka [254]

3(x - 6) - 4(x + 3) = 3x - 18 - 4x - 12 = -x - 30

8 0

4 years ago

Read 2 more answers