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3 years ago

Find the value of x in the diagram below.

Mathematics

2 answers:

weeeeeb [17]3 years ago

6 0

For this case we have that by definition, a flat angle is the space between an intersection between two lines whose opening measures 180 degrees.

Then, if we look at the figure we have to:

$2x + 3x = 180\\5x = 180\\x = \frac {180} {5}\\x = 36$

Thus, the angle ABC is $2x = 2 * 36 = 72$ , less than 90 degrees, so it is an acute angle.

The CBD angle is $3x = 3 * 36 = 10$ 8, greater than 90 degrees, so it is an obtuse angle.

ANswer:

$x = 36$

ABC is acute angle

CBD is obtuse angle

melomori [17]3 years ago

4 0

Answer:

x=36

Step-by-step explanation:

Angles on a line add to 180. You can combine 2x and 3x to get you 5x, making the complete unsolved equation 180=5x. If you divide both sides of the equation by 5, you will receive 36.

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Help plz this is due late so plz help me

Gekata [30.6K]

Answer:

1st option

Step-by-step explanation:

Each exponent inside the bracket is multiplied by the exponent outside , that is

$(\frac{2^{5} }{3^{2} )} ^{4}$

= $\frac{2^{5(4)} }{3^{2(4)} }$

= $\frac{2^{20} }{3^{8} }$

7 0

2 years ago

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

kifflom [539]

Answer:

no solution

Step-by-step explanation:

12x − 18y = 27

4x − 6y = 10

Multiply the second equation by -3 so we can eliminate x

-3(4x − 6y) = 10*-3

-12x +18y = -30

Add the first equation to this new equation

12x − 18y = 27

-12x +18y = -30

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

0 = -3

This is not a true equation, so there is no solution

7 0

2 years ago

Find the 9th term of the geometric sequence 6,-24,96...

spin [16.1K]

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

5 0

3 years ago

Solve the equation for b

Keith_Richards [23]

Answer:

D. b=7a

Step-by-step explanation:

Add -11/3a to both sides.

$\frac{1}{3}b=\frac{7}{3}a$

Divide both sides by 1/3

1 /3 b ÷1/ 3 = 7/ 3 ÷a 1 /3

and the answer is

b=7a

ik this doesnt make any sense but hope this helps

5 0

3 years ago

Read 2 more answers

What is the fourth term in the binomial expansion of (2x – y) 7?

nata0808 [166]

Answer:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

Step-by-step explanation:

For this case we have the following expression:

$(2x-y)^7$

And we can use the binomial theorem given by:

$(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}$

And for this case we want to find the fourth term and using the formula we have:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

8 0

2 years ago