this is algebra 1 unit 1 or lesson 1

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.

When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.

All the points of intersection of given angle A, B  and C keeps the different value as all the sides of the triangle is not equal.

The length of the angle C using the above formula,

[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]

Similarly, the measure of angle B,

[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]

The measure of angle A,

[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]

The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.

All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.

When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.

Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.

Learn more about the law of cosine here;

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Answer:

(x - 12)(x - 4)

Step-by-step explanation:

Given

x² - 16x + 48

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)

The factors are - 12 and - 4, since

- 12 × - 4 = + 48 and - 12 - 4 = - 16 , thus

x² - 16x + 48 = (x - 12)(x - 4) ← in factored form

Answer:

25x+10=47.50

Step-by-step explanation:

x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.

Answer:

The answer is

Step-by-step explanation:

3b² - b

when b = 5

Substitute the value of b that's 5 into the expression

That's

3(5)² - 5

= 3(25) - 5

= 75 - 5

We have the final answer as

Hope this helps you

Step-by-step explanation:

you didn't give us the full question. what were the lengths of the worms found on Tuesday?

Answer:

59

Step-by-step explanation:

the inside of a triangle is 180° so add 57+64 which brings u to 121 and then take 180-121 to get the answer of 59

Answer:

about 39%

Step-by-step explanation:

In order to find the percent, you need to find the total amount of games they played first.

9 games + 7 games + 2 games = 18 games total

Divide the number of games they won by the total amount of games they played:

7 games / 18 games = about 39%

Answer:the answer is 1/10

Step-by-step explanation:

Step-by-step explanation:

farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market

Answer:

11.9985

Step-by-step explanation:

79.99 x .15 = 11.9985

Answer:

147 maybe?

Step-by-step explanation:

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

[tex]M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)[/tex]

Therefore, the coordinate of B is (6,0)

Answer:

x = 4

Step-by-step explanation:

Given

4(x + 1) - 9 = 11 ( add 9 to both sides )

4(x + 1) = 20 ( divide both sides by 4 )

x + 1 = 5 ( subtract 1 from both sides )

x = 4

Answer:

Step-by-step explanation:

4x + 4-9=11

4x  -5  =11

4x -5+5 =11+5

       4x =16

       4x divide by 4 is equal to 16 divide by 4

x is equal to 4

Answer:

see explanation

Step-by-step explanation:

A = s × s = s²

Given s = 7 , then

A = 7² = 49 in²

Answer:

Exact Form:

2/45

Decimal Form:

0.04 (4 being repeated)

Answer:

750 miles

Step-by-step explanation:

Ronald

Rental fee = fixed cost + variable cost

= $25 + $0.05x

Where x = number of miles

Dixon

Rental fee = fixed cost + variable cost

= $40 + $0.03x

How many miles must they both drive for their rental fees to be the same?

Equate the two equations

$25 + $0.05x = $40 + $0.03x

Collect like terms

0.05x - 0.03x = 40 - 25

0.02x = 15

Divide both sides by 0.02

x = 15 / 0.02

= 750 miles

Answer:

y= 4(x) + 3(5x)

$19

Step-by-step explanation:

Answer:

Total cost= $4,200

Step-by-step explanation:

Giving the following information:

It takes 2 finish carpenters 8 days to do the work.

Each finish carpenter ears $37.50 per hour and works 7 hours per day.

To determine the total cost, first, we need to structure the total cost formula:

Total cost= 2*(37.5x)

x= total number of hours

Now, for 8 days:

Total hours= 8*7= 56

Total cost= 2*(37.5*56)

Total cost= $4,200

Answer:

n = m − a

Step-by-step explanation:

Given:

a = m - n

Where,

a = Actual cost an item

m = Original price

n = amount of coupon

Solve the formula for the amount of the coupon

a = m - n

Add n to both sides

a + n = m - n + n

a + n = m

Subtract a from both sides

a + n - a = m - a

n = m - a

Amount of coupon, n = Original price of an item, m - Actual cost of an item, a

Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

Answer:Answer:

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n

Step-by-step explanation:

Let's solve for d.

y=2x2+9xfindf(10)findf(10)

Step 1: Flip the equation.

900d2f4i2n2x+2x2=y

Step 2: Add -2x^2 to both sides.

900d2f4i2n2x+2x2+−2x2=y+−2x2

900d2f4i2n2x=−2x2+y

Step 3: Divide both sides by 900f^4i^2n^2x.

900d2f4i2n2x

900f4i2n2x

=

−2x2+y

900f4i2n2x

d2=

−2x2+y

900f4i2n2x

Step 4: Take square root.

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n2x

2x

Answer:

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n

The value of f(10) for function f(x) = 2x² + 9x is 290.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given function is,

f(x) = 2x² + 9x     (1)

To find the value of f(10),

Substitute x = 10,

f(10) = 2(10)² + 9(10)

f(10) = 2 x 100 + 90

f(10) = 200 + 90

f(10) = 290

The required value of f (10) is 290.

To know more about Algebraic expression on:

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Answer: The car travels 97.5 miles in 1.5 hour.

Step-by-step explanation:

Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation [tex]d=65t[/tex], where represents the distance, in miles, that the car travels at this speed in t hours.

To find : Number of miles car travel in 1.5 hour.

Simply put t= 1.5 in the given expression , we get

65(1.5)= 97.5

That means , the car travels 97.5 miles in 1.5 hour.

Answer:

33

Step-by-step explanation:

Length = Width + 9

Perimeter = Length + Length + Width + Width

Perimeter = Width + 9 + Width + 9 + Width + Width = 150

4(Width) + 18 = 150

Subtract 18 from both sides:

4(Width) + 18 - 18 = 150 - 18

4(Width) = 132

Divide 4 on both sides:

[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]

Width = 33

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

Answer:

See below.

Step-by-step explanation:

H.

f = 3x + 31

c = 12x - 1

3x + 31 + 12x - 1 = 180

15x + 30 = 180

15x = 150

x = 10

same-side interior, supplementary

R.

b = x - 10

g = 4x + 60

x - 10 + 4x + 60 = 180

5x + 50 = 180

5x = 130

x = 26

same-side exterior, supplementary

E.

d = 2x + 13

e = 7x + 5

2x + 13 + 7x + 5 = 180

9x + 18 = 180

9x = 162

x = 18

same-side interior, supplementary

I.

a = 10x - 30

e = 8x + 20

10x - 30 = 8x + 20

2x = 50

x = 25

corresponding, congruent

G.

b = x + 30

h = 5x - 14

5x - 14 = x + 30

4x = 44

x = 11

alternate exterior, congruent

First, let's reduce our fractions to their simplest forms.

4/5 is already in its simplest form

16/20 = 4/5.

Now that both of por fractions are in their simplest forms, let's compare them.

4/5 is equal to 4/5

D is the correct answer.

Answer: C. is less than

Step-by-step explanation: the person above me is wrong

Answer:

No

Step-by-step explanation:

The reason is that the absolute value of x is always not going to equal a negative.

|-1| = 1 (correct)

|-1| = -1 (incorrect)

Answer:

Never.

Step-by-step explanation:

Whenever there is an absolute value is a variable or number and it's negative or positive, the answer will always be positive ex., |-x| = x |x| = x