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Veseljchak [2.6K]
2 years ago
6

What is the value of xfind the value of f​

Mathematics
2 answers:
zvonat [6]2 years ago
6 0

Answer:

x = 20 , f = 40

Step-by-step explanation:

4x and 5x are a linear pair and sum to 180° , then

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

5x = 5 × 20 = 100° and 3x = 3 × 20 = 60°

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

5x is an exterior angle of the triangle , then

f + 3x = 5x , that is

f + 60 = 100 ( subtract 60 from both sides )

f = 40

Black_prince [1.1K]2 years ago
4 0

Answer:

x = 20°

f = 40°

Step-by-step explanation:

4x + 5x = 180°

because a straight line is 180°

so 9x = 180°

1x = 180 ÷ 9

1x = 20

all angles in a triangle add together is 180°

so 7x + f = 180°

1x = 20

7x = 20 × 7

7x = 140°

f = 180° - 140 °

f = 40°

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Vanyuwa [196]

Answer:

B, the y-intercept

Step-by-step explanation:

The y-intercept will change but all else will stay the same.

When you shift a function up and down, the y-intercept will change.

8 0
3 years ago
Find the image of (3,8) after<br> a reflection over the origin.
Oksana_A [137]

Answer:

(-3, -8) I think

Step-by-step explanation

over the origin mean it would be going diagonally across (0,0). Not directly down (over the x-axis/ across the y-axis), nor to the side (over y-axis/ across the x-axis

3 0
3 years ago
In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.
Elanso [62]

The 100th term of the sequence is 2130.

<h3>How to calculate the value?</h3>

a3 = a + 2d = 93

a5 = a + 4d = 135

Compute both equations

(4d - 2d) = (135 - 93)

2d = 42

d = 42/2 = 21

a + 2d = 93

a + 2(21) = 93

a + 42 = 93

a = 94 - 42 = 51

100th term will be:

= a + 99d

= 51 + 99(21)

= 51 + 2079

= 2130

Learn more about sequence on:

brainly.com/question/6561461

#SPJ1

5 0
1 year ago
TIME REMAINING
Svet_ta [14]

Answer:

12.5h

Step-by-step explanation:

12.5 hr x h $/hr = $12.5h

7 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST!!!!
MaRussiya [10]

1.

(a) The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b) The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + c

(c) Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

2.

(a) The slope of the line is \frac{3}{4}

(b) The equation of the line in point-slope form is:

y - 3 = \frac{3}{4} (x + 4)

(c) The equation of the line in slope-intercept form is:

y = \frac{3}{4} x + 6

3.

The inequality that model the problem is:

20x + 10y ≥ 2000

Step-by-step explanation:

1.

The given is:

1. The county fair charges $1.25 per ticket for the rides.

2. Jermaine bought 20 tickets for the rides and spent a total of $35.00

    at the fair

3. Jermaine spent his money only on ride tickets and fair admission

4. The price of the fair admission is the same for everyone

Use y to represent the total cost and x to represent the number of

ride tickets

∵ The price of a ticket = $1.25

∵ The number of tickets = x

∵ y represents the total cost

∵ The total cost = the cost of a ticket × the number of tickets + the price

   of the fair admission

∴ y = 1.25 x + c, where c is the fair admission

∵ Jermaine bought 20 tickets

∴ x = 20

∵ Jermaine spent a total of $35.00 at the fair

∴ y = 35

- Substitute these values in the equation in step b

∴ 35 = 1.25(20) + c

∴ 35 = 25 + c

- Subtract 25 from both sides

∴ c = 5

∵ c represents a constant term (y-intercept) in the linear equation

∴ The price of the fair admission for any one is $5

(a)

The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b)

The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + 5

(c)

Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

2.

A line goes through the points (-4 , 3) and (4 , 9)

The rule of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ x_{1} = -4 and x_{2} = 4

∵ y_{1} = 3 and y_{2} = 9

∴ m=\frac{9-3}{4--4}=\frac{6}{8}=\frac{3}{4}

(a)

The slope of the line is \frac{3}{4}

(b)

The point-slope form of the equation is y-y_{1}=m(x-x_{1})

∵ y_{1} = 3 and x_{1} = -4

∵ m = \frac{3}{4}

∴ y - 3 = \frac{3}{4} (x - -4)

∴ y - 3 = \frac{3}{4} (x + 4)

The equation of the line in point-slope form is:

y - 3 = \frac{3}{4} (x + 4)

(c)

The slope-intercept form of the equation is y = mx + c, where c is the

y-intercept

∵ m = \frac{3}{4}

∴ y = \frac{3}{4} x + c

- To find c substitute x and y by the coordinates of one of the two

  given points

∵ x and y are the coordinates of point (4 , 9)

∴ 9 = \frac{3}{4} (4) + c

∴ 9 = 3 + c

- Subtract 3 from both sides

∴ c = 6

∴ y = \frac{3}{4} x + 6

The equation of the line in slope-intercept form is:

y = \frac{3}{4} x + 6

3.

Jacob and Sarah are saving money to go on a trip

The given is:

1. They need at least $2000 in order to go

2. Jacob mows lawns and Sarah walks dogs to raise money

3. Jacob charges $20 each time he mows a lawn and Sarah charges

   $10 each time she walks a dog

4. x representing the number of lawns mowed and y representing the

   number of dogs walked

∵ x representing the number of lawns mowed

∵ Jacob charges $20 each time he mows a lawn

∴ Jacob can earn $20x

∵ y representing the number of dogs walked

∵ Sarah charges $10 each time she walks a dog

∴ Sarah can earn 10y

∵ They need at least $2000 in order to go to the trip

∴ 20x + 10y ≥ 2000

The inequality that model the problem is:

20x + 10y ≥ 2000

Learn more:

You can learn more about inequality in brainly.com/question/6703816

brainly.com/question/10402163

#LearnwithBrainly

5 0
3 years ago
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