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3 years ago

The 2 triangles below are similar. Solve for X please!

Mathematics

1 answer:

AysviL [449]3 years ago

8 0

Answer:

C) x = 12

Step-by-step explanation:

We can calculate the value of x using similarity ratio

x/8 = 9/6 cross multiply expressions

6x = 72 divide both sides by 6

x = 12

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The local cable company charges $90 per month for basic and $12 per month for each additional premium cable channel.The function

Alika [10]

Answer:

2 additional premium channels

Step-by-step explanation:

Using the given function, we substitute c(x) = 114 and solve for x:

114 =90 + 12x

Subtract 90 from both sides:

24=12x

Divide both sides by 12:

2=x

So you have ordered 2 additional premium channels.

5 0

3 years ago

Please help!!!<br> Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Elza [17]

$\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}$

$\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{3^4(m^{-1})^4(n^2)^4}{2^3(m^{-2})^3n^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}\\\\=10.125m^{-4-(-6)}n^{8-3}=10.125m^2n^5$

7 0

3 years ago

Read 2 more answers

(3x5)-1 expression word

pshichka [43]

Answer:

Subtract the result of three times five with 1.

Step-by-step explanation:

$(3 \times 5)-1$

$15-1$

$14$

Subtract the result of three times five with 1.

4 0

3 years ago

Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val

avanturin [10]

Answer:

B. No

$Cos \ \theta\neq Cos (90-\theta)\textdegree$

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

- $\theta$ is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

$Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree$

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0

3 years ago

The product of two consecutive odd integers is 143 find their sum

Alexus [3.1K]

11*13=143
11+13=24
The sum of the two consecutive odd integers is 24

5 0

3 years ago