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2 years ago

Find the value of x A) 3 B) 14 C) 5 D) 2

Mathematics

1 answer:

vesna_86 [32]2 years ago

4 0

Answer:

C) 5

Step-by-step explanation:

The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)

The sum of all the angles of a triangle is 180° as well.

You can write an equation to solve for x.

12x + 9x + 75 = 180

Isolate x.

12x + 9x = 180 - 75

12x + 9x = 105

Add the 12 and the 9.

21x = 105

Find what x is.

x = 105 ÷ 21

x = 5

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3 years ago

What is the 6th term of the sequence?

vesna_86 [32]

Answer:

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Step-by-step explanation:

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2 years ago

Please give me the correct answer and please explain how you found the answer

lidiya [134]

Answer:

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Step-by-step explanation:

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2 years ago

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

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2 years ago

Read 2 more answers

Thomas bought a bag of jelly beans that contained 10 red jelly beans, 15 blue jelly beans, and 12 green jelly beans. What is the

Hitman42 [59]

There are 37 jelly beans so p for the first one is 27/37. That leaves 36 in the bag. So p for the second jelly bean is 10/36=5/18.
The combine probability is 27/37×5/18=3/37×5/2=15/74.

7 0

3 years ago