Find y using the Angle Sum Theorem

1. 3 times a number less than the sum of twice a number and 2.

Let x be the number

The sum of twice of x and 2 is 2x + 2.

3 times a number less than this is 2x + 2 - 3x = -x + 2.

2. 6 multiplied by the sum of a number and 8.

Let x be the number

The sum of a number and 8 is x + 8.

6 multiplied by this is 6(x+8) = 6x + 48

3. Jane saves $10 per week, so after w weeks, she saves 10w.

She already has $50, so she then has 50 + 10w.

Answer: b) 6.10%

Step-by-step explanation:

to find the probability for the other bag to contain exactly 4 balls at that time;  

is only possible if you have chosen a particular bag 10 times and other bag 6 times.

After that, once again at the 17th attempt

so the required probability =     ¹⁶c₁₀ × (1/2¹⁰ × (1/2)⁶ × (1/2)

= 0.610

CONVERT TO PERCENT

0.610 × 100

= 6.10%

Answer:

1). Angle c is congruent to angle E

2) BC=FD

Answer:

Step-by-step explanation:

Follow PEDMAS

[tex]-2 - (-4)[/tex]

Follow rule : -(-a)= + a

[tex] - 2 + 4 \\ = 2[/tex]

Answer:2

Step-by-step explanation:

Answer:

252* warmer

Step-by-step explanation:

130 -(-122) = 130 + 122 = 252

Answer:

49 or 7^2

Step-by-step explanation:

9 x 5 + 4

=> 45 + 4

=> 49 or 7^2

Answer: 49

Step-by-step explanation: Multiply 9 and 5. Then add 4. Use PEMDAS.

9 × 5 = 45

45 + 4 = 49

Answer:

30

2ab=2*5*3

30

hope it helps

Answer:

30

The equation re-written would be

2 · 5 · 2 = 30

Answer:

(0,-4) (5,0)

Step-by-step explanation:

4x-5y=20

First, we must put the equation into slope intercept form: y= mx+b

5y=4x-20=y=4/5x-4

The y intercept, by definition, is b. In this scenario, b is -4.

One ordered pair that works is (0,-4).

Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:

Therefore, (5,0) works as well!

Answer: .18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius of the circle

From the question

Area = 154cm²

To find the radius substitute this value into the above formula and solve for the radius

That's

154 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{154}{\pi} [/tex]

Find the square root of both sides

Thats

[tex]r = \sqrt{ \frac{154}{\pi} } [/tex]

r = 7.0014086

We have the final answer as

radius = 7.0 cm

Hope this helps you

Answer:

C. 1365

Step-by-step explanation:

The expression nCr can be written with the simple equation:

n! / ((n-r)! * r!)

So to evaluate 15C4:

15! / ((15-4)! * 4!)

= 1365

So 15C4 = 1365

Cheers.

Answer:

1365

Step-by-step explanation:

15!/4!(15-4)!

1365

Answer: ( -0.731,  0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731,  0.682)

The unit vector is ( -0.731,  0.682)

[tex]x = R\times cos(A)\\\\y = R\times sin(A)[/tex]

And the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

so,  

[tex]x = 1\times cos(137) = -0.731y = 1\times sin(137) = 0.682[/tex]

Then the unit vector is: ( -0.731,  0.682)

learn more: https://brainly.com/question/20492533?referrer=searchResults

Answer:

Just two

Step-by-step explanation:

Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.

The presence of 90 degrees indicates that it's a right angle triangle.

The remaining angle= 180-90-42

The remaining angle= 48 degrees

Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.

Answer:0.222222

Step-by-step explanation:

DIVIDE 2 BY 9

Answer:

40

Step-by-step explanation:

4 is in "Ten's place".

So, the number is multiplied with 10.

=> 4 x 10

=> 40

The value of 4 in 45 = 40

Answer:

Step-by-step explanation:

Before we can calculate the standard deviation of the dataset, we need to get the mean value first.

mean = sum of the values/total number given

mean = -8+2+2+4+15/5

mean = 15/5

mean (xbar) = 3

For ungrouped data:

Variance S²=  ∑(xi-xbar)²/N-1

xi are the individual values

xbar is the mean value = 3

N is the total number in the dataset = 5

Variance = (-8-3)²+(2-3)²+(2-3)²+(4-3)²+(15-3)²/5-1

S² = (-11)²+(-1)²+(-1)²+(1)²+(12)²/4

S² = (121+1+1+1+144)/4

S² = 67

Hence the variance of data sample is 67.00

Standard deviation is the square root of the variance.

√S² = Standard deviation

√67 = Standard deviation

Standard deviation = 8.185

Standard deviation ≈ 8.19 (to 2 decimal place)

Answer:

Approximately 2 days.

Step-by-step explanation:

The frog can only jump 3 lily pads each day.

24 hours = 1 day

[tex]\frac{24}{3}[/tex] = 8 hours

Thus, it would take the frog 8 hours to cover a lily pad.

To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).

So that;

Total time required to get to the edge of the pond can be determined by;

6.5 × 8 hours = 52 hours

Number of days to get to the edge of the pond = [tex]\frac{52}{24}[/tex]

                                                                    = 2.2

It would take him approximately 2 days to get to the edge of the pond.

Answer:

See Explanation

Step-by-step explanation:

[tex] \overline{CB} ||\overline {ED}... (GIVEN) \\

\& BD\:\&\: CE \: are \: transversals\\

\angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\

\overline{CB} \cong \overline {ED}..... (GIVEN) \\

\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\

\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate) [/tex]

Answer:  see proof below

Step-by-step explanation:

   Statement                     Reason

1. CB || ED                       1. Given

2. ∠E ≅ ∠C                     2. Alternate Interior Angle Postulate

3. ∠D ≅ ∠B                     3. Alternate Interior Angle Postulate

4. CB ≅ ED                     4. Given

5. ΔCBF ≅ ΔEDF            5. ASA Congruency Theorem

Answer:

x = 78

Step-by-step explanation:

57° + x° = 135° (alternate angles, // lines)

x = 135 - 57

= 78

I hope this helps :)

Answer:

15% above the trend.

Step-by-step explanation:

A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.

In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be

Y = T × C × S × 1

where;

Seasonal S = 1.15

As such Y would increase by 15% above the trend if all other things are being equal.

Answer:

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Step-by-step explanation:

This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.

So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.

-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.

5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.

To right that in notation simply

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Cheers.

Hi there! Hopefully this helps!

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[tex]17 = r + 10[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]r + 10 = 17[/tex]

Subtract 10 from both sides.

[tex]r = 17 - 10[/tex]

Answer:17

Step-by-step explanation:

Plug in 4 in the place of x and then add 1

[tex] &#128075 [/tex] Hello ! ☺️

Step-by-step explanation:

F(x)= x² +1

[tex] f(4) = 4 {}^{2} + 1 [/tex]

[tex] f(4)= 16+1 [/tex]

[tex]\boxed{\color{gold}{f(4) = 17}} [/tex]

[tex]<marquee direction="left" scrollamount="2" height="100" width="150">&#x1F498;Mynea04</marquee>[/tex]

Answer:

Number of salsa batches produced = 18 batches

Step-by-step explanation:

Given:

1 red onion = 12 batch of salsa

Amount of red onion = one and half (1.5)

Find:

Number of salsa batches produced

Computation:

Number of salsa batches produced = 1.5 × 12

Number of salsa batches produced = 18 batches

Answer:

Hey there!

Well first, don't feel bad, since trig is really hard, especially if you are just learning it.

If you've learned about SOH CAH TOA, you will see that TOA is the best identity to use here.

tangent 20=x/10

tangent 20 (10)=x

x=3.64

Let me know if you have any other trig questions, I'm always here to help :)

Answer:

vertical angles

Step-by-step explanation:

Opposite angles that are congruent are known as vertical angles.

Answer:

Step-by-step explanation:

x+118 degrees =180 degrees

x +118 degrees-118degrees =180 degrees - 118 degrees

                                         x =62 degrees

Answer:

The number of times Ivan and Adeline have the same number written on the board is 6.

Step-by-step explanation:

Consider the procedure as follows:

Consider the numbers on each half of the board:

          Ivan                            Adeline

             2                                     2

      2 × -2 = -4                        2 × 2 = 4

     -4 × -2 = 8                         4 × 2 = 8

      8 × -2 = -16                      8 × 2 = 16

   -16 × -2 = 32                      16 × 2 = 32

   32 × -2 = -64                    32 × 2 = 64

  -64 × -2 = 128                   64 × 2 = 128

  128 × -2 = -256               128 × 2 = 256

-256 × -2 = 512                256 × 2 = 512

  512 × -2 = -1024              512 × 2 = 1024

-1024 × -2 = 2048           1024 × 2 = 2048

Thus, the number of times Ivan and Adeline have the same number written on the board is 6.

Answer:

−(−45)

I hope this helps.

Answer:

−(−45)

Step-by-step explanation: