What is the value of x?

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angle.

146° is an exterior angle of the triangle, then

5y + 3 + 4y + 8 = 146

9y + 11 = 146 ( subtract 11 from both sides )

9y = 135 ( divide both sides by 9 )

y = 15

Then

∠ A = 5y + 3 = 5(15) + 3 = 75 + 3 = 78°

∠ B = 4y + 8 = 4(15) + 8 = 60 + 8 = 68°

∠ C = 180° - (78 + 68)° ← sum of angles in triangle = 180°

∠ C = 180° - 146° = 34°

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

Answer:

15hrs

Step-by-step explanation:

We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... [tex]\frac{18}{x}+\frac{1}{2}=\frac{14}{x-2}[/tex] ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

factor the square root of 32

to get a total of 32, you do 4 times 4, which is 16

16 times 2 =32

16 is a perfect square so it's outside of the square root symbol, but you can't find the square root of 2 without it being irrational.

So,

final answer: 4[tex]\sqrt{2}[/tex]

Answer:

it should be G.

Step-by-step explanation:

Answer:

use the app socratic to find the answer

Answer:

8/9

Step-by-step explanation:

5a-3=a/2+1

2(5a-3)=a+2

10a-6=a+2

10-a=6+2

9a/9=8/9

a=8/9

Answer:

78 OZ (481g)

There are 120 calories in one cup of cereal. So there would be 360 calories of cereal in three cups of cereal. this is the awnser to number two I think thought imma keep working out the problem tell me if its wrong or right

Answer:

degree of the polonomial  : 6

Step-by-step explanation:

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

7x²z²⇒4

6xy²z³⇒6

−5x⇒1

8y⇒1

The largest exponent is the degree of the polynomial.

6

Answer:

7

Step-by-step explanation:

Let us say that [tex]y_{1}[/tex]= 5.5, [tex]x_{1}[/tex]= 11, and [tex]y_{2}[/tex] = 3.5.

[tex]\frac{y_{2}}{y_{1}} =\frac{x_{2}}{x_{1}}[/tex]

[tex]\frac{3.5}{5.5} =\frac{x_{2}}{11}[/tex]

[tex]\frac{7}{11} =\frac{x_{2}}{11}[/tex]

[tex]x_{2} =7[/tex]

I hope this is correct and helps you!

Answer:

The change in temperature from 15 degrees to -9 degrees is 24 degrees.

Step-by-step explanation:

Pls mark brainliest if im right. Sorry if im wrong tho. :/

Answer:

306

Step-by-step explanation:

v = 1/3bh

2×(18×11 + 18×9 + 11×9) / 3 = 918/3

= 306

hope this helps, mark brainliest if it did luv gl !

Answer:

gngngngngngngngngngng

Answer:

n = 99

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 1 , d = 2 and [tex]S_{n}[/tex] = 9801 , then

[tex]\frac{n}{2}[/tex] [ (2 × 1) + 2(n - 1) ] = 9801 ( multiply both sides by 2 to clear the fraction )

n(2 + 2n - 2) = 19602

n(2n) = 19602

2n² = 19602 ( divide both sides by 2 )

n² = 9801 ( take the square root of both sides )

n = [tex]\sqrt{9801}[/tex] = 99

The number of terms summed is 99

Answer:

a

Step-by-step explanation:

Answer:

2x-3y=-5

Step-by-step explanation:

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

Answer:

b

Step-by-step explanation:

Answer:

6/10

Step-by-step explanation:

6/10 is equal to 3/5 because you can multiply 3/5 times 2. So multiply the numerator(3) times 2, which is 6, then multiply the denominator(5) times 2 as well, which is 10.

Hope this helped!

P.S (in case you don't know the definition of numerator or denominator)

Nominator- the top number of a fraction.

Denominator- the bottom number of a fraction.

9514 1404 393

Answer:

  3.72 pints

Step-by-step explanation:

The remaining 2/5 of the paint was white. In pints, that is ...

  (2/5)(9.3 pints) = 3.72 pints . . . . white paint used

Answer:

1) True

2) True

3) True

4) True

5) False

Step-by-step explanation:

Hope this helped!

Answer:

4/13

Step-by-step explanation:

4 queens and 13 hearts

4/ 52 + 13/52 - 1/52

16/52

4/13

Answer:

Step-by-step explanation:

There are 13 hearts in 52 cards. C From above, P(Queen)=4/52 and P Heart=13/52, the queen of hearts is in both categories so we have to subtract 1/52 so we don't double count.

Answer:

it is 300 i think

300.

The midpoint is 300 because the distance from the 2 points is 100 so 300.

Answer: Its the 2nd and 4th

Step-by-step explanation:

i am sorry i know its not gonna help you now but its for others!

Answer: 12 inches

Step-by-step explanation:

This is a square shaped mirror which means that it takes the shape of a square.

All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.

Length of each side = √area

= √144

= 12 inches

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

Answer:

The answer to your question would be 18.

Step-by-Step explanation:

simplify, 3^4/9

3^4 divided by 3^2 = 3(^4-^2) = 3^2

9*2 = 18

I hope this helps! Have a great day! :]

Answer:

3.3lbs

Step-by-step explanation:

5 x 2/3 = 3.3