Emma's sister is nine years older than Emma. Their combined ages add up to 49. How old is Emma?

Answer:

D: 2.67

Step-by-step explanation:

Assuming that both vertical lines are parallel, there are rules regarding angle sizes.

The rule that is specific to this question is alternate angles, this is when two angles are of the same size when they are on opposite sides of the line. This means that both equations equal each other:

10x + 13 = -3 + 16x

Add 3 to both sides to remove the negative 3 and isolate the 16x:

10x + 13 + 3 = 16x

10x + 16 = 16x

Subtract 10x from both sides of the equation to simplify:

10x + 16 - 10x = 16x - 10x

16 = 6x

Divide both sides by 6 to simplify:

6x = 16

[tex]x = \frac{16}{6}\\x = \frac{8}{3}[/tex]

Or in decimal form,

[tex]2.\overline{6} \\= 2.67[/tex]

Hope this helps!

Learn more about alternate angles theorem here:

https://brainly.com/question/24839702

Answer:

40

Step-by-step explanation:

First, we must know that ab is the same as:

a × b

Now, since a is given as 8, we can substitute a with 8. This is shown below:

ab = 8 × b

Similarly, b is given as 5. So, we can substitute b with 5:

ab = 8 × 5

With this, we can now evaluate ab as shown below:

ab = 8 × 5

= 40

Answer:

10.6

Step-by-step explanation

i just divided 2.65 and 0.25 and got 10.6(: hoped it helped

Answer:

6 rows

Step-by-step explanation:

You divide 18 by 3 and you have ur answer.

Answer:

6 flowers per row

Step-by-step explanation:

Divide the number of flowers by the number of rows:

⇒ 18 ÷ 3 = 6

So she will plant 6 flowers per row.

Answer:

Correct answers:

1y≥−0.5x+2

2y>2x−3

Answer:

the constant of proportionality is 0.2 and it is a proportional relationship

Step-by-step explanation:

2 divided by 10 is 0.2

1 divided by 5 is 0.2

they have the same answer so they are proportional

since they have the answer 0.2 it

is there constant of proportionality

Answer:that’s easy

Step-by-step explanation:-3x+4=1x because first you put the higher number first and then you subtracted which is 1x. Hoped it work.

Answer:

Slope:  − 3

y-intercept:  ( 0 , 4 )

x     y

0     4

4 /3  0

Step-by-step explanation:

Answer:

x = 13 , x = 9

Step-by-step explanation:

for the lines to be parallel then 9x + 2 and 119 are alternate angles and are congruent , so

9x + 2 = 119 ( subtract 2 from both sides )

9x = 117 ( divide both sides by 9 )

x = 13

-------------------------------------------------------

For f and g to be parallel then 18x - 44 and 8x - 10 are same- side interior angles and sum to 180° , then

18x - 44 + 8x - 10 = 180 , that is

26x - 54 = 180 ( add 54 to both sides )

26x = 234 ( divide both sides by 26 )

x = 9

Answer:

Your final elevation is 90ft or D

Hope this helps!

Step-by-step explanation:

90 D ok anwerrrrrrrrrrrrrrtr

First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.

These polygons differ by a scale factor of 1/7.

7 * (1/7) = 1

49 * (1/7) = 7

Now, we know that x = 7.

The larger polygon has side lengths of 7, 49, 7, 49

The smaller polygon has side lengths of 1, 7, 1, 7

Answer:

(x+5)(x+25)=5

Step-by-step explanation:

When simplified, if you foil the left side of the equation, you get:

x^2+30x+125 = 5

Simplified, you get:

x^2+30x+120 = 0

A quadratic by definition is a polynomial with the highest degree of 2, which means the highest exponent should be a two. In our case, it is. So therefore, (x+5)(x+25)=5 is the answer.

Answer:

Option 1

Step-by-step explanation:

(x + 5)(x + 25) = 5 is a quadratic equation. It can be verified upon expansion.

=> x² + 30x + 125 = 0

=> Quadratic equations are of the form Ax² + Bx + C = 0

=> Hence it is a quadratic equation

Answer:

x = 2°

steps:

reason:

corresponding angles have same angle measure.

Answer:

x = 2

Step-by-step explanation:

Corresponding angles are equal

Therefore, 7x + 3 = 8x + 1

Subtract 7x from both sides:

⇒ 3 = x + 1

Subtract 1 from both sides:

⇒ 2 = x

Answer:

7k-35=5+10k+2k

or, 7k-35=5+12k

or, -35-5=12k-7k

or, -40=5k

or, k=-40/5

Therefore, k=-1/8

Let's set up the variables for the two numbers --> 'a' , 'b'

Now let's set up some equations based on the given information:

Equations:

   Solve (equation 1) for b in terms of a

     b = a - 6 -- equation 3

    (equation 3) into (equation 2)

     a^2 + (a - 6)^2 = 90

     a^2 + a^2 - 12a + 36 = 90

     2a^2 - 12a - 54 = 0

     (2a + 6)(a - 9) = 0

       a = -3 -- equation 4

       a = 9 -- equation 5

    (equation 4) into (equation 1)

      -3 + b = 6

       b = 9  - ---   a = -3, b= 9

    (equation 5) into ( equation 1)

     9 + b = 6

     b = -3 - ---     a = 9, b= -3

Since the numbers are interchangeable, the two numbers are -3 and 9.

Hope it helps!

So we know that the difference is 235.

And a red and green put together is 92 balloons * 5.
So 5 red and green balloons put together is 460, or 92*5.

460-235=225

225/9=25

92-25=67

So 5*67 and 4*25 is 435.

Your final answer should be 435 balloons in total.

Answer:

A graphing calculator can do quadratic regression on the given points. It tells you the cost function is

.. c(x) = (1/2)x^2 +8x +10

Then c(12) = 178

The cost function predicts the total cost of producing 12 camera cases is $178.

Step-by-step explanation:

<3 follow

Answer:

x=33

Step-by-step explanation:

[tex]\hookrightarrow \: x + 90 + 57 = 180(sum \: of \: all \: angles \: of \: triangle)\\ \hookrightarrow \: x = 180 - 90 - 57 \\ \hookrightarrow \: x = 33[/tex]

Answer:

256.6 feet

Step-by-step explanation:

     First, I recommend drawing a picture for problems like this. See attached for my example!

-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.

     Now, let us find out what formula(s) we will use to solve this problem.

-> We have two of the angles (so we can easily find the third) as well as the hypotenuse

-> We are solving for one of the legs, then adding five feet to it

-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)

     Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.

sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]

sin(57°) = [tex]\frac{x}{300}[/tex]

300sin(57°) = x

251.6 ≈ x

x ≈ 251.6 feet

     Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.

251.6 + 5 = 256.6

Step-by-step explanation:

sum of angles in a triangle

Answer:

Step-by-step explanation:

__________________

X |_-2_|_-1_|__0_|_1_|_2_|

Y |_1_|__0_|__-1_|_0_|_1_|

X=-2 => y=2-1=1

X=-1=> y=1-1=0

X=0=> y=0-1=-1

X=1=> y=1-1=0

X=2 => y=2-1=1

..........

X=10=> y=10-1=9

X=-10=> y=10-1=9

=> (0,+∞]

Answer:

Step-by-step explanation:

Let number be "n".

Half a number added to the number = 240

This means

0.5n + n = 240

1.5n = 240

Divide both sides by 1.5

n = 240/1.5 = 160

Answer:

eight plus n

Step-by-step explanation:

8 = said as "eight"

+ = said as "plus"

n = said as "n"

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

The verbal expression would be 8 plus a number

Step-by-step explanation:

Hope this helps~

Answer:

So cool

Hahahah

Step-by-step explanation:

Tracie would speak approximately 80 words in 120 seconds.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

We can use proportions to solve this problem.

If Tracie speaks 30 words in 45 seconds, then we can set up a proportion to find out how many words she would speak in 120 seconds:

30 words / 45 seconds

= x words / 120 seconds

Now,

45 seconds x (x words) = 30 words x 120 seconds

45x = 3600

x = 80

Therefore,
Tracie would speak approximately 80 words in 120 seconds.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ3

Answer:

Obtuse scalene triangle

Answer:

D. 5-3x = 17

Step-by-step explanation:

The step carried out was subtracting 2 from both sides.

[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]

➠ The Pythagorean theorem was put forward by the Greek mathematician and philosopher named Pythagoras.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other sides.

[tex]\\[/tex]

꧁_______༺♕♛♕༻_______꧂

BC² = DC² + DB²

BC² = 3m² + 4 m²

BC² = 9m + 16m

BC² = √25 m

BC² = 5 m

DC² = BC² - DB²

DC² = 5m² - 4 m²

DC² = 25 m - 16m

DC² = √9 m

DC² = 3 m

[tex]\\[/tex]

______________>♡<_____________

[tex]\huge\mathfrak\red{Learn \: more \: about :}[/tex]

______________>♡<_____________

#Greetings Form Indonesian

There is no image, but the formula you would use is h[(3.14r)^2] where h is the height, r is the radius, and 3.14 stands for pi.

Answer:asddwa

Step-by-step explanation:

asdwas