All categories

2 years ago

Find the value of x and y

Mathematics

2 answers:

Aleks04 [339]2 years ago

6 0

Answer:

x=30

y=17

Step-by-step explanation:

We know that 6x+9 = 129 since they are vertical angles

6x+9 = 129

Subtract 9 from each side

6x+9 -9 =129-9

6x = 120

Divide by 6

6x/6 =120/6

x = 20

3y+129 =180 since they make a straight line and straight line are equal to 180 degrees

3y+129 =180

Subtract 129 from each side

3y+129-129=180-129

3y = 51

Divide by 3

3y/3 = 51/3

y = 17

pychu [463]2 years ago

4 0

$(6x+9)^o\ and\ 129^o\ are\ the\ vertical\ angles.\\\\\text{The vertical angles have the same measure. Therefore we have the equation:}\\\\6x+9=129\qquad\text{subtract 9 from both sides}\\\\6x=120\qquad\text{divide both sides by 6}\\\\\boxed{x=20}$

$3y^o\ and\ 129^o\ are\ the\ supplementary\ angles.\text{}\\\\\text{Supplementary angles are two angles with a sum of }\ 180^o.\\\text{Therefore we have the equation.}\\\\3y+129=180\qquad\text{subtract 129 from both sides}\\\\3y=51\qquad\text{divide both sides by 3}\\\\\boxed{y=17}\\\\Answer:\ \boxed{x=20^o\ and\ y=17^o}$

You might be interested in

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d

Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

$n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months$

Therefore, it will take 88.2 months to accumulate the amount.

7 0

3 years ago

Given the diagram below, find the value of x.

Rufina [12.5K]

Answer:

yes 11000

Step-by-step explanation:

6 0

2 years ago

3. If a customer has $50.00 to spend, for how many hours can they rent the bicycle?

olya-2409 [2.1K]

Answer:

4 hours

Step-by-step explanation:

Alright, so Steve has $50 in his pocket. He wants to rent a bike for the maximum amount of time possible with his money. It costs him $12 per hour to rent a bike.

To solve this problem use simple arithmetic:

($50/$12=4.16)

So Steve is able to rent the bike for 4.16 hours, but we aren't done yet. Steve cannot purchase 16% of an hour, he can only buy FULL hours, so with his $50 , the maximum amount of time he can buy is 4 hours!

Let me know if you need any further explanations :)

7 0

2 years ago

PLZZZZZZZZZZZZZZZZZZZZZZ HELP!<br><br> -3x+4=-2 show your work!!!

Katyanochek1 [597]

Answer:

x=2

Step-by-step explanation:

5 0

2 years ago

Rebecca moves to a large city that had two event stadiums. The larger stadium can hold 4.5 times 10^4 people, which is about 15

NNADVOKAT [17]

Answer:

3,000 people

Step-by-step explanation:

Total number of people larger stadium can hold equals 4.5 times $10^{4}$ people,

which equals 45,000 people.

Now,

it is given that larger stadium can hold 15 times more people than small stadium .

So, smaller stadium will hold 15 times less people than the larger stadium ,

Which equals , $\frac{45000}{15}$ = 3,000 people.

Thus ,

Smaller stadium can hold a total of 3,000 people.

7 0

2 years ago