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Eddi Din [679]
3 years ago
7

Pls help me!!!!!!!!!!! Solve for the variable "x" in this example

Mathematics
2 answers:
Tpy6a [65]3 years ago
7 0

Answer:

x=9

Step-by-step explanation:

these are vertical angles, so they equal eachother!

12x-3=105

move three to the other side of the equals sign

12x=108

divide both sides by 108

x=9

tangare [24]3 years ago
5 0

Answer: x=9

Step-by-step explanation:

These angles are equal, so you can set 105 equal to 12x-3. Add 3 and divide by 12 to get x=9.

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A ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
allsm [11]

Answer:

The answer is B.

Step-by-step explanation:

There are three 20 second time periods in 1 minute. Three times eight is equal to 24.  

8 0
3 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
lubasha [3.4K]

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

7 0
2 years ago
NO LINKS!!
tester [92]

Answer:

Step-by-step explanation:

6 0
3 years ago
Given two functions f(x)=2x+4 and g(x)=−1/5x−3 , what is the function rule for (f+g)(x) ?
Angelina_Jolie [31]

The definition is pretty simple:

(f+g)(x) = f(x)+g(x)

So, we only have to sum the expressions:

f(x)+g(x) = 2x+4 - \dfrac{1}{5}x-3 = \dfrac{9}{5}x+1

5 0
3 years ago
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