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-Dominant- [34]
2 years ago
10

Determine the value of x in the diagram? A.32 B.10 C.20 D.16

Mathematics
2 answers:
Gnesinka [82]2 years ago
6 0

Answer:

B. 10

Step-by-step explanation:

These are vertical angles meaning they are also equal.

4x-12=2x+8\\2x-12=8\\2x=20\\x=10

alex41 [277]2 years ago
6 0

Answer:

The choice B. 10

Step-by-step explanation:

4x -12=2x+8 —> Opposite angles

4x -2x =8+12

2x = 20

x =20/2

x= 10

I hope I helped you^_^

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1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance.
Strike441 [17]
9.89%

You can get this number by multiplying the two together.
5 0
3 years ago
You have a total of 52 respondents to a survey
Rama09 [41]

Answer:

17% , 15% , 6% , 10% , 40% , 6%

Step-by-step explanation:

You're going to have to divide the number of people who voted for those positions by the total number of people.

Adapting = 9 / 52 = 17%

Other = 8 / 52 = 15%

Yes = 3 / 52 = 6%

No = 5 / 52 = 10%

Absolutely = 21 / 52 = 40%

Maybe = 3 / 52 = 6%

6 0
2 years ago
Find the coordinates of the turning point for the equation of the graph below y=x^2+14x+45
USPshnik [31]

Answer:

(- 7, - 4 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - \frac{b}{2a}

y = x² + 14x + 45 ← is in standard form

with a = 1, b = 14 , then

x = - \frac{14}{2} = - 7

Substitute x = - 7 into the equation and evaluate for y

y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4

coordinates of turning point = (- 7, - 4 )

4 0
3 years ago
Find all the solutions to the equation 7sin^2x -14sinx+2=-5
Allisa [31]
I will get you started.

Let sin x = u

Then 7sin^2x -14sinx+2=-5 become

7u^2 - 14u = - 5

7u^2 - 14u + 5 = 0

Steps:

1. Solve for u.

2. Back- substitute for u.

3. Take the arcsin on both sides to find the angle(s).

You finish.
7 0
3 years ago
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