29+8 = 8 +29 is = 4+2 or 4 x 2

Answer:

DF=22.57

DG=26

Step-by-step explanation:

sinF/DG=sinD/FG

sin75/DG=sin48/20

DG*sin48/sin48=20*sin75/sin48

DG=26

D^+F^+G=180(sum of int. angles of triangle)

G^=180-48-75

G^=57

sinG/DF=sinD/FG

sin57/DF=sin48/20

DF*sin48/sin48=20*sin57/sin48

DF=22.57

The value of DF and DG is 22.57 units and 25.9956 units respectively.

Given to us,

∠D = 48°,

∠F = 75°,

FG = 20,

According to sine rule, in a triangle the length of a side of the triangle and the angle opposite to it is always in ratio. therefore,

[tex]\dfrac{A}{sin\alpha}= \dfrac{B}{sin \beta}= \dfrac{C}{sin\gamma}[/tex]

So,

[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{GD}{sin(F)}[/tex],

For ∠G,

∠D + ∠F + ∠G = 180°,

48° + 75° + ∠G = 180°,

∠G = 180° - ( 48° +75°),

∠G = 57°,

Now using the sine rule,

[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{DG}{sin(F)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}\\\\DF = 22.57\ units\\\\\\ \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\DG = 25.9956\ units[/tex]

Hence, the value of DF and DG is 22.57 units and 25.9956 units respectively.

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Answer:

[tex]\frac{-5 \pm \sqrt{13} }{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\frac{-5 \pm \sqrt{5^2-4(3)(1)} }{2(3)}[/tex]

Step 2: Evaluate

Answer:

angle CPB is your right answer

Answer:

[tex]m=-4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 6)

Point (4, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer: 25 red marbles

Step-by-step explanation:

Fraction of yellow marbles = 1/3

Fraction of blue marbles = 1/4

Fraction of red marbles = 1 - (1/3 + 1/4) = 5/12

Therefore, the number of red marbles that are there in the bowl would be:

= 5/12 × 60

= 25 red marbles

Answer:

x + y = 162 and x = 2y - 6

Step-by-step explanation:

Let the total wins be x

Let the total loss be y

If a baseball team's total wins and losses for one season is 162, this can be expressed as;

x + y = 162 ....... 1

If the number of wins is 6 less than 2 times the number of losses, this is expressed as;

2 times the number of losses = 2y

6 less than 2 times the number of losses = 2y - 6

Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;

x = 2y - 6 .... 2

Hence the required system of equation are;

x + y = 162 and x = 2y - 6

Answer:

6x + 6y -xy + x^y + xy^2

Step-by-step explanation:

[ xy (-x - y -1) ]  + 2  (xy + x + y)

-x^2y - xy^2 - xy + 2xy + 2x + 2y

2x + 2y + xy - x^y - xy^2

8x + 8y - (2x + 2y + xy - x^2y - xy^2)

8x + 8y - 2x - 2y -xy + x^y + xy^2

6x + 6y -xy + x^y + xy^2

Answer:

Option A

Step-by-step explanation:

By using regression line calculator,

From the data given,

Equation of the line line of best fit will be,

y = -0.92744x + 13.63407

We have to calculate the equation with slope and y-intercept of the line to three decimal places.

Therefore, equation will be,

y = -0.927x + 13.634

Option (A) will be the correct option.

Answer:

9.0333

Step-by-step explanation:

Given the mixed number:

[tex]9\dfrac{1}{30}[/tex]

To find:

The number to four decimal places.

Solution:

First of all, let us learn the method converting the mixed fraction number to a fractional number.

If a mixed fraction is of the form:

[tex]a\dfrac{b}{c}[/tex]

Then first, we will multiply [tex]a[/tex] with [tex]c[/tex] and then add [tex]b[/tex] to get the numerator of the simple fraction.

Denominator will be the same i.e. [tex]c[/tex].

Therefore

[tex]9\dfrac{1}{30}[/tex]

can be written as:

Numerator = [tex]9\times 30 + 1[/tex] = 271

Denominator will be the same i.e. 30

Simple fraction equivalent will be:

[tex]\dfrac{271}{30}[/tex]

And up to, 4 decimal points, the number can be written as:

9.0333

.........................

Answer: 54 pounds

Step-by-step explanation:

1. Adressing the variables:

x=number of pounds of type A

y=number of pounds of type B

2. Equations:

x+y=147 pounds

5.15x+4.1y=659.40

3. Subsitution:

y=147-x =>5.15x+4.1(147-x)

4. Solve:

5.15x+602.7-4.1x=659.4

=> 1.05x=56.7 => x=54

5. Solution:

x=54; y=93

Answer:

(f o g)(4) = -2

(f o f)(3) = -1

(g o f)(-1) = 2

Step-by-step explanation:

(f o g) (4)

f(g(4))

f (0)

-2

(f o f)(3)

f(f(3))

f(1)

-1

(g o f)(-1)

g(f(-1))

g(-3)

2

Answer:

Step-by-step explanation:

0,3,6,9,12,15

0,4,8,12,16,20

for 9 parts yellow you'll need 12 parts blue

for 20 parts blue you'll need 15 parts yellow

[tex] \Large{\boxed{\sf n = 8}} [/tex]

[tex] \\ [/tex]

The perimeter of a rectangle is given by the following formula:

[tex] \Large{\sf P = 2L + 2W } [/tex]

Where:

[tex] \\ [/tex]

[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf L &=\sf 3n - 9 \\ \sf W &=\sf n + 5 \\ \end{cases} } [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf P = 2(3n - 9) + 2(n + 5) [/tex]

[tex] \\ [/tex]

Expand the expression of the perimeter using the following distributive property.

[tex]\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf\boxed{ \sf Distributive \: property \text{ : } }} \\ \\ \sf\star \: \red{ \large{ a (b + c) = ab + ac }} \end{array}}\\\end{gathered} \end{gathered}}[/tex]

[tex] \\ [/tex]

We get:

[tex] \sf P = 2(3n) + 2(-9) + 2n + 2(5) \\ \\ \sf P = 6n - 18 + 2n + 10 \\ \\ \boxed{\sf P = 8n - 8 } [/tex]

[tex] \\ [/tex]

Since the perimeter is equal to 56, the value of n satisfies the following equality:

[tex] \sf 8n - 8 = 56 [/tex]

[tex] \\ [/tex]

To solve this equation, let's add 8 to both sides:

[tex] \sf 8n - 8 + 8 = 56 + 8 \\ \\ \sf 8n = 64 [/tex]

[tex] \\ [/tex]

Now, divide both sides of the equation by 8:

[tex] \sf \dfrac{8n}{8} = \dfrac{64}{8} \\ \\ \\ \boxed{\boxed{\sf n = 8}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

false 15 is a positive number

Answer:

what does it equal ?? x???

Step-by-step explanation:

Answer:

9.9

Step-by-step explanation:i odn't have an explanation but try it i know it is right

Using the formula, it is found that the distance between the two points (−7, 1) and (0, −6) is of 9.9 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are (−7, 1) and (0, −6), hence:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]D = \sqrt{(0 - (-7))^2+(-6-1)^2}[/tex]

[tex]D = \sqrt{98}[/tex]

D = 9.9.

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Answer:

Step-by-step explanation:

(3y - 2z) 5.

so

3ytimes 5 = 15y (can multiply variable number with non variable number in this case)

and -2z times 5 =-10z

=

15y-10z

The expression  (3y - 2z) 5 can be written, by using the Distributive Property as 15y - 10z.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Given expression:

(3y - 2z) 5,

The above expression can be written by using Distributive Property as,

[tex]A (B + C) = AB + AC[/tex]

(3y - 2z) 5 = 3y × 5 - 2z × 5

(3y - 2z) 5 = 15y - 10z

Therefore, the expression  (3y - 2z) 5 can be written, by using the Distributive Property as 15y - 10z.

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Answer:

Step-by-step explanation:

since the question does not have a given slope you can just put the point into the point slope formula   y-y1 = m(x-x1)  

y-5 = m(x-(-2))

y-5 = m(x+2)

since the slope is not given, leave it like that

Answer:

XXX xxixbhxxhooh the I☺️☺️☺️☺️

Step-by-step explanation:

xxkxozozxoooyyppxoxoglhxlh b lb lkgxkxg♊☺️♊⚓⚾⚓⚾⚓⚾⚾⚓

Answer:

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

Step-by-step explanation:

In any set of ordered pairs,

Let us solve the question

∵ The set of ordered pairs is {(-6, 5), (-3, 2), (-1, 0), (5, -4)}

∵ The first number in each ordered pair represents x

∴ x = -6, -3, -1, 5

∵ The set of x is the domain of the function

∴ The domain of the set of ordered pairs = {-6, -3, -1, 5}

∵ The second number in each ordered pair represents y

∴ y = 5, 2, 0, -4

∵ The set of y is the range of the function

∴ The range of the set of ordered pairs = {5, 2, 0, -4}

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

Answer:

Domain: {-6,-3,-1,5}

Range: {-4,0,2,5}

Step-by-step explanation:

Answer:

9x + 10 = 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Equation

5 + 2x + 5 + 7x = 3

Step 2: Simplify

Answer:

9x+10=3

Explantion

(2x+7x)+(5+5)=3

= 9x+10=3

Answer:

2nd answer choice

Step-by-step explanation:

Graph is increasing by 1

Answer:

1.6 hours / 1 hour 36 minutes

Step-by-step explanation:

105+95=200 miles

This is the distance that the trains could travel in an hour.

320÷200=1.6 hours

Our Answer is 1.6 hours / 1 hour 36 minutes

Answer:

2

Step-by-step explanation:

Answer:

20%?

Step-by-step explanation:

Answer:

6.9

Step-by-step explanation:

Answer:

6.90

Step-by-step explanation:

Given the Number: 6.87

6 = unit

8 = tenth

7 = hundredth

Hence, to the nearest tenth ; we round the hundredth value ; since the hundredth value (7) is greater than 5, then we round to 1 and add to the tenth placed digit (8)

Therefore,

6.87 = 6.90 (nearest tenth)

9514 1404 393

Answer:

  d.

Step-by-step explanation:

The triangle is a right triangle. Statements a-c are true.

There is no necessary relationship between angles F and G. Statement d is false.