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3 years ago

Find the value of x that makes m ∥ n.

Mathematics

1 answer:

arsen [322]3 years ago

6 0

Answer:

x = 40

Step-by-step explanation:

In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:

3x = 120

Divide both sides by 3 to get:

x = 40

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Cost of a chair

pashok25 [27]

1,200 divided by 4= 3,000
3,000 is your answer.

5 0

3 years ago

What is the difference of the polynomials?

Vilka [71]

Answer:

$8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6$

Step-by-step explanation:

We want to simplify;

$(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)$

We expand the bracket to obtain;

$8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4$

We now group the like terms to obtain;

$8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6$

We now simplify to get;

$8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6$

The correct answer is C

3 0

4 years ago

Read 2 more answers

1,225 rides was the total number of rides that 35 friends took on a Ferris wheel.

Jet001 [13]

Each friend would have taken a total of 35 rides each.

This can be verified by multiplying 35 by 35 to get 1225.

8 0

3 years ago

Whatbis the missing numerator of [2]5/6=?/6

Eva8 [605]

Answer:

Step-by-step explanation:

2* 5/6 = x/6

10/6 = x/6

Since the denominators are the same, the numerators are the same

x=10

5 0

3 years ago

Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.

KatRina [158]

Answer:

$\huge\boxed{6,\ -30;\ 78;\ -246;\ 690}$

Step-by-step explanation:

$a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78$

$\text{for}\ n=4\\\\a_4=-3a_{4-1}-12=-3a_3-12\\\\\text{substitute}\ a_3=78\\\\a_4=-3(78)-12=-234-12=-246\\\\\text{for}\ n=5\\\\a_5=-3a_{5-1}-12=-3a_4-12\\\\\text{substitute}\ a_4=-246\\\\a_5=-3(-246)-12=702-12=690$

8 0

4 years ago