In the diagram, the measure of angle 3 is 76°. A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 4?

Answer:

Between 50 and 60

Step-by-step explanation:

4,346/82 is 53 which is between 50 and 60.

Hope this helps!

Answer:

a

Step-by-step explanation:

Answer:

option a is correct by using quadratic formula

Given:

The enrollment increases by approximately the same percentage between 2000 and 2010 as it decreased between 1950 and 1960.

To find:

The expected enrollment in 2010.

Solution:

Percentage decrease formula:

[tex]\%\text{ decrease}=\dfrac{\text{Initial value - New value}}{\text{Initial value}}\times 100[/tex]

The percentage decrease in between 1950 and 1960 is:

[tex]\%\text{ decrease}=\dfrac{4-3.5}{4}\times 100[/tex]

[tex]\%\text{ decrease}=\dfrac{0.5}{4}\times 100[/tex]

[tex]\%\text{ decrease}=\dfrac{50}{4}[/tex]

[tex]\%\text{ decrease}=12.5[/tex]

The enrollment decreased by 12.5% between 1950 and 1960. So, the enrollment increases by 12.5% between 2000 and 2010.

The expected enrollment in 2010 is:

[tex]\text{Expected enrollment}=7+\dfrac{12.5}{100}\times 7[/tex]

[tex]\text{Expected enrollment}=7+0.875[/tex]

[tex]\text{Expected enrollment}=7.875[/tex]

Therefore, the expected enrollment in 2010 is 7.875 thousands.

Answer:

Area swept by the blade = 448[tex]in^{2}[/tex]

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches  from area of sector with radius as 24 inches.

So, area of sector with r=24 in =[tex]\frac{135}{360} *\pi *24^{2}[/tex]

Simplify it,

                                                  =216[tex]\pi[/tex]

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = [tex]\frac{135}{360} *\pi *14^{2}[/tex]

Simplify it

                                          =73.5[tex]\pi[/tex]

So, area swept by the blade = 216[tex]\pi[/tex] -73.5[tex]\pi[/tex]

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

                               =447.6769

Round to nearest whole number

So, area swept by the blade = 448[tex]in^{2}[/tex]

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

Answer:

A and D are the answer.

Step-by-step explanation:

We can factor this by grouping

[tex]2 {x}^{2} + 5x - 3[/tex]

[tex]2 {x}^{2} + 6x - x - 3[/tex]

[tex]2x(x + 3) -1 (x + 3)[/tex]

The roots are

[tex](x + 3) = 0[/tex]

and

[tex]2x - 1 = 0[/tex]

Let solve for zero in each roots.

[tex]x = - 3[/tex]

[tex]2x = 1[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

Olha a foto.

Step-by-step explanation:

Answer:

x = 14/3

Step-by-step explanation:

9.

The given equation is:

(x-2)+(x-3)+(x-9)=0

After opening the brackets,

x-2+x-3+x-9=0

3x+(-2-3-9) = 0

3x-14=0

x = 14/3

So, the value of x is equal to 14/3.

Answer:

[tex]g(2) = 6[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 3x[/tex] --- [tex]x > 1[/tex]

[tex]g(x) = -2x[/tex] -- [tex]x < 1[/tex]

Required

[tex]g(2)[/tex]

[tex]2 > 1[/tex]

So, we use:

[tex]g(x) = 3x[/tex]

Substitute [tex]2[/tex] for x

[tex]g(2) = 3 * 2[/tex]

[tex]g(2) = 6[/tex]

Answer:g(-2)=4

Step-by-step explanation:

Since x = -2, use the piece of the function when x ≤ 1. Therefore, use g(x) = -2x and substitute -2 in for x to get g(-2) = -2(-2), which simplifies to g(-2) = 4.

Answer:

she bought 5 berries in total

Step-by-step explanation:

3+2=5

width = x

length = 3 + x

perimeter = x + x + ( 3 + x ) + (3+x)

18 = x + x + ( 3 + x ) + (3+x)

x + x + ( 3 + x ) + (3+x) = 18

6 + 4x = 18

4x = 12

x = 3

Answer:

Point C represents the unit rate

Step-by-step explanation:

Answer:

r = 3 2/3

s = -0.444333

Step-by-step explanation:

Multiply the top equation by 2

14r - 6s = 52

2r -  6s =   8          Subtract the two equations

12r = 44                 Divide by 12

r = 44/12

r = 3 8/12

r = 3 2/3

2r - 6s = 8

2*(2 2/3) - 6s = 8

2*2.6667 - 6s = 8

5.3334 - 6s = 8              Subtract 5.3334 from both sides.

- 6s = 2 2/3                    Divide by - 6

s = - 0.4443333

Answer:

C(x) = $40 + 0.9x

F(t) = 7.25t - 5

Step-by-step explanation:

Given that :

C(x) = Cost model to produce x toys

Fixed cost of production = $40

Rate of change = 90 cent per toy produced.

A linear model will take the form :

F(x) = bx + c ;

Where ; b = rate of change or slope ; c = intercept or initial value

Therefore, a linear cost model will be :

Cost model to produce x toys = fixed cost + (rate of change * number of toys)

C(x) = $40 + 0.9x

2.)

F(t) = amount of usable factory sheets manufactured in t minutes :

Rate of production = 7.25 ft² / minute

Number of unusable fabric sheeting = 5 ft²

The function, F(t) :

F(t) = 7.25t - 5

Answer:

Graph D

Step-by-step explanation:

correct answer on edge :)

Answer:

D

Step-by-step explanation:

Answer:

multiplier = 6

marginal propensity to consume = .83

Step-by-step explanation:

/ means divided by

1 .

300,000,000 / 50,000,000 =

multiplier =

6

2.

300,000,000 - 50,000,000 =

250,000,000

250,000,000/300,000,000 =

marginal propensity to consume =

0.83333333333

or

.83

quizlet

marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income

investopedia

Answer:

The actual dimensions of the floor are 12,5m by 1,8m.

Step-by-step explanation:

Scale problems are solved by proportions, using a rule of three.

Scale of 1:50

This means that each cm on the cupboard has a real dimension of 50 cm

25 cm on the cupboard:

So the real dimension is:

25*50 = 1250 cm = 12,5m

3.6 cm

The real dimension is:

3.6*50 = 160 cm = 1,8 m

The actual dimensions of the floor are 12,5m by 1,8m.

Answer:

1200$

please mark me as brain liest

Answer:

Step-by-step explanation:

A circumcircle can be referred to as a circumscribed circle to a triangle. The steps to follow is stated below:

i. Since the triangle is equilateral, draw the triangle with sides 6.5 cm

ii. Bisect any of its two sides. The two bisecting lines would intersect at center, O, of the triangle.

iii. With the center and either radius  OA, OB or OC, draw a circumscribed circle to the triangle.

The construction is attached to this answer for clarifications.

Answer:

25

Step-by-step explanation:

x = distance of the hike

y = number of friends coming along

so, we are looking for a linear relationship between these two.

y = ax + b

we need to find the factor a and the constant offset b.

19 = a×3 + b

7 = a×5 + b

7 - b = a×5

a = (7-b)/5

19 = (7-b)×3/5 + b

19 = (21 - 3b)/5 + b

95 = 21 - 3b + 5b

74 = 2b

b = 37

a= (7-37)/5 = -30/5 = -6

so, the relationship is

y = -6x + 37

for 2km hiking

y = -6×2 + 37 = -12 + 37 = 25 friends

Step-by-step explanation:

here is the answer. Feel free to ask for more.

I believe this is your question:

A.) find an angle between 0 degrees and 360 degrees that is coterminal with 570 degrees.

Answer:

210 degrees

Explanation:

Coterminal angles begin on the same initial side and end or terminate on the same side as an angle. Example 45 degrees and 405 degrees are coterminal angles because they both begin and end on the same side.

To find an angle between 0 and 360 that is coterminal with 570 degrees, w simply subtract 360 degrees from 570, hence:

570-360=210 degrees

570 degrees is coterminal with 210 degrees

Answer:

[tex]y = - \frac{1}{3}x + 5[/tex]

Step-by-step explanation:

Consider two points through which the line passes.

Let it be ( 0 , 5 ) and ( 6 , 3 )

Step 1 : Find slope

    [tex]Slope, m = \frac{y_2 - y_ 1 }{x_2 - x_1}[/tex]

                 [tex]= \frac{3-5}{6-0} \\\\=\frac{-2}{6}\\\\= -\frac{1}{3}[/tex]

Step 2 : Find the equation of the line passing through the points.

       [tex]( y - y_1) = m (x - x_1)\\\\(y - 5) = -\frac{1}{3} ( x - 0) \\\\y = -\frac{1}{3}x + 5[/tex]

Answer:

5555 Lakh rupoes maybe hope it helps

The amount Frans took as loan = R12000

"It is the interest that is only calculated on the initial amount of the loan."

[tex]SI=\frac{P\times R\times T}{100}[/tex]

where, P: principal amount

T : period

R: rate of interest

For given question,

SI = 9600

T = 5 years

R = 16%

We need to find the principal amount.

Using simple interest formula,

[tex]\Rightarrow SI=\frac{P\times R\times T}{100}\\\\\Rightarrow P=\frac{SI\times 100}{R\times T}\\\\\Rightarrow P=\frac{9600\times 100}{5\times 16}\\\\\Rightarrow P=12000[/tex]

Therefore, the amount Frans took as loan = R12000

Learn more about the simple interest here:

https://brainly.com/question/22621039

#SPJ3

Answer:

The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 =  0

x^2 + x - 1 = 0

[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]

9514 1404 393

Answer:

  f(x) = 5x

Step-by-step explanation:

Vertical stretch is accomplished by multiplying the function value by the stretch factor. f(x) = x is stretched by a factor of 5 by multiplying it by 5:

  f(x) = 5x

Answer:

Step-by-step explanation:

hope it helps much

9514 1404 393

Answer:

Step-by-step explanation:

To find the height at 8 seconds, evaluate the formula for t=8.

  S(t) = -5t^2 +80t

  S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height of the rocket is 320 meters 8 seconds after takeoff.

__

To find the time to 290 meters height, solve ...

  S(t) = 290

  290 = -5t^2 +80t

  -58 = t^2 -16t . . . . . . . divide by -5

  6 = t^2 -16t +64 . . . . . complete the square by adding 64

  ±√6 = t -8 . . . . . . . . . take the square root

  t = 8 ±√6 ≈ {5.551, 10.449}

The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.