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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

Ghella [55]3 years ago

8 0

Answer: x=12

Step-by-step explanation: Knowing that this is on a straight line, which is 180°, you can assume that both angles add up to 180°. You can turn this into an agebraic equation by saying that (10x-20)°+(6x+8)° = 180°. by simplifying, you get 16x-12 = 180. Adding 12 to both sides yields 16x = 192. To finish the equation, you divide both sides by 16; completing to x=12.

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How do you use math every day?

puteri [66]

Answer:

Figuring out distance, time and cost for travel

shopping for the best price

Step-by-step explanation:

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2 years ago

What is 3x+2y=-13 3x+4y=1

Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

y = 2 1/3

4 0

3 years ago

Find the Surface Area:

Lady_Fox [76]

Answer:

D 180 in²

Step-by-step explanation:

step 1

2 (l) (w) + 2 (l) (h) + 2(h) (w)

step 2

2×(6)×(3) + 2×(6)×(8) + 2×(8)×(3)

step 3

2×(18) + 2×(48) + 2×(24)

step4

36 + 96 + 48 = 180 in²

6 0

1 year ago

For each sequence,find the first 4 terms and the 10th term a) n+5 b)2n-1

dsp73

Answer:

a)6,7,8,9 and 10th term is 15.

b)1,3,5,7 and 10th term is 19.

Step-by-step explanation:

Given a) n+5

b)2n-1

Solution for a) n+5

Taking the value of n is 1 we get the first term of the sequence;

$n+5=1+5=6$

Similarly taking the value of n 2,3,4 we get;

$2+5=7\\3+5=8\\4+5=9$

And for 10th term we take the value of n is 10 and get;

$n+5=10+5=15$

So the solution for 1st sequence is 6,7,8,9 and 10th term is 15.

Solution for b)2n-1

Taking the value of n is 1 we get the first term of the sequence;

$2n-1=2\times1-1=2-1=1$

Similarly taking the value of n 2,3,4 we get;

$2n-1=2\times2-1=4-1=3\\2\times3-1=6-1=5\\2\times4-1=8-1=7$

And for 10th term we take the value of n is 10 and get;

$2n-1=2\times10-1=20-1=19$

So the solution for 2nd sequence is 1,3,5,7 and 10th term is 19.

3 0

3 years ago

What is the length of a diagonal of a cube with a side length of 1 cm?

STALIN [3.7K]

Answer:

3cm

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers