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2 years ago

I need to find the value of x

Mathematics

2 answers:

finlep [7]2 years ago

8 0

Since the two angles are supplementary, you can set them equal to 180 degrees:
(7x-1)+(6x-1)=180
add like terms:
13x-2=180
add 2 to both sides of the equation to have the term with x alone on one side of the equation:
13x=182
divide both sides by 13 to get the value of x:
x=14

Zanzabum2 years ago

6 0

Hello,

We know that all the angles shown add up to 360 (think of a circle).

We also know that the angle of (6x-1)° is congruent to the angle opposite of it. (the "top left" angle) = 6x - 1°

We also know that the angle of (7x-1)° is congruent to the angle opposite of it.
(the "bottom left" angle) = 7x -1°

Knowing the sum of all angles as well as the angle measures in terms of x, we can add all the angle measures and equal it to 360.

So, we get (7x - 1) + (7x - 1) + (6x - 1) + (6x - 1) = 360
Simplify and we get:
26x - 4 = 360
Add 4 to both sides to get 26x = 364
Divide by 26 on both sides to get 14.

x = 14

Hope this helps!

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What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?

ch4aika [34]

3,6,12...

this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.

start with 3
3 * 2 = 6
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so ur answer is : multiply by 2

8 0

2 years ago

A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc

Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be $2x$ .

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

$6\%=\frac{6}{100}=0.06$

$10\%=\frac{10}{100}=0.10$

Amount of interest earned from lower-yielding account: $2x(0.06)=0.12x$ .

Amount of interest earned from higher-yielding account: $x(0.10)=0.10x$ .

$0.12x+0.10x=6600$

Let us solve for x.

$0.22x=6600$

$\frac{0.22x}{0.22}=\frac{6600}{0.22}$

$x=30,000$

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be $2x\Rightarrow 2(30,000)=60,000$ .

Therefore, the man invested $60,000 at 6%.

8 0

2 years ago

How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

<em>Hence this can be done in 20,160 number of ways</em>

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3 years ago

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Sedbober [7]

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2 years ago

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2 years ago

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