In the figure, angle D measures 31⁰ and angle A measures 27⁰

1.The measurement of angle B is
A.59⁰
B.63⁰
C.90⁰
2. The measurement of angle F is
A.59⁰
B.63⁰
C.90⁰
​

The width of rectangular garden(b) = 8 feet and

The area of rectangular garden = 160 square feet

Step-by-step explanation:

Given,

The length of rectangular garden(l) = 20 feet and

The perimeter of rectangular garden(fencing) = 56 feet

To find, the width of rectangular garden(b) = ? and

The area of rectangular garden = ?

We know that,

The area of rectangular garden = 2(l + b)

⇒  2(20 + b) = 56

⇒  20 + b = 28

⇒ b = 28 - 20 = 8 feet

The width of rectangular garden(b) = 8 feet

∴ The area of rectangular garden = l × b

=  20 feet × 8 feet

= 160 square feet

Hence, the width of rectangular garden(b) = 8 feet and

the area of rectangular garden = 160 square feet

The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet. The calculations were made using the perimeter and area formulas for rectangles.

To find the width of Julia's rectangular garden and its area, we can use the given information:

The garden is 20 feet long, and the total perimeter of the garden is 56 feet.

Step-by-Step Solution:

The formula for the perimeter P of a rectangle is given by:

P = 2L + 2W

where L is the length and W is the width.

We know the following values:

L = 20 feet

P = 56 feet

Substitute these values into the perimeter formula:

56 = 2(20) + 2W

Simplify and solve for W:

56 = 40 + 2W

56 - 40 = 2W

16 = 2W

W = 8 feet

Now we can find the area A of the garden using the formula for the area of a rectangle:

A = L × W

Substitute the values we have:

A = 20 × 8

A = 160 square feet

The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet.

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

The length of rectangle is 10.5 units

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

The perimeter of rectangle is given by formula:

Perimeter = 2(length + width)

Substituting the values we get,

[tex]34 = 2(L + 6.5)[/tex]

Thus the equation is found

Solve for "L"

[tex]L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5[/tex]

Thus length of rectangle is 10.5 units

Answer:

associative property of addition

Step-by-step explanation:

A change of grouping is the associative property of addition.

Answer:

88 because I just solved it on a white board

Answer:

option (4)

Step-by-step explanation:

As a function x can only have one unique value that it maps to.

(1)

(10, 12 ) ← No since (10, 11 ) is already part of the function

(2)

(15, 13 ) ← No since (15, 18) is already part of the function

(3)

(17, 10 ) ← No since (17, 12 ) is already part of the function

(4)

(11, 13 ) ← Yes as no other value with x = 11

Answer:

[tex]y=3x+1[/tex]

Step-by-step explanation:

From the question, we are given;

We are required to determine the equation of a line parallel to the given line and passing through the point (-1, -2)

y = 3x + 2, m₁ = 3

Taking another point (x, y)...

Then;

[tex]\frac{y+2}{x+1}=3[/tex]

[tex]y+2=3(x+1)\\y+2=3x+3\\y=3x+1[/tex]

Therefore; the equation of the line is [tex]y=3x+1[/tex]

Answer: putting arms in front when falling to catch self.

Stretching arm out to protect passenger when breaking suddenly

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

#1. 3x+1.5=2.5x+4.7

#2. subtract by 1.5 on both sides

#3. 3x=2.5x +3.2

#4. then subtract 2.5x on both sides because you need all the x'x on one side

#5. .5x= 3.2

#6. then you divide but you should bring the decimal to the right once on both sides

#7. x=6.4

The equation 3x + 1.5 = 2.5x + 4.7 has one solution which is x = 6.4.

The equation at hand is 3x + 1.5 = 2.5x + 4.7. To check whether the equation has no solution, one solution, or an infinite number of solutions, we have to solve the equation.

By collecting like terms, 3x - 2.5x = 4.7 - 1.5 will give us 0.5x = 3.2. To isolate x, we simply divide both sides of the equation by 0.5, leading to x = 3.2/0.5 which equals 6.4.

Therefore, the given equation has one solution, and that solution is x = 6.4.

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[tex]\bf \cfrac{5}{9}-\cfrac{5}{18}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)5~~-~~(1)5}{18}}\implies \cfrac{10-5}{18}\implies \cfrac{5}{18}[/tex]

Please give brainlest and thanks

Answer:The final answer is 4 4

Step-by-step explanation: Graph the line using the slope and y-intercept, or two points.Slope: 3/2

Answer:

7

Step-by-step explanation:

the answer would be 7 because if there is 2 in per hour just go 2,4,6,8,10,12

and then count all the numbers i did and that will be your answer (7)

Answer:

40320

Step-by-step explanation:

the first song on the list could be 8 possible songs;

and the second song on the list could be 7 possible songs after the first one was set;

the third song on the list could be 6 possible songs after the first and second songs were set;;

the fourth song on the list could be 5 possible songs after the first ,second and third songs were set;;

the fifth song on the list could be 4 possible songs after four songs  were set;

the sixth song on the list could be 3 possible songs after five songs  were set;

the seventh song on the list could be 2 possible songs after six songs  were set;

the eighth song on the list could be 1 possible songs after seven songs  were set.

so THERE ARE 8X7X6X5X4X3X2X1 DIFFERENT SETS

To calculate the number of combinations, we use the combination formula in combinatorics. However, the total number of songs available is required to provide a specific answer.

To determine the number of different sets of 8 songs possible for Janine's play list, we have to use the combination formula of combinatorics. Combinatorics is a branch of mathematics concerning the study of countable or finite discrete structures. The combination is a selection of items where order does not matter. The formula for combination is: C(n, r) = n! / [r!(n-r)!]

where:

Therefore, to answer the question, we would need to know the total number of songs available to Janine. Once we know that, we can substitute that number for 'n', and use the formula to calculate.

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Incomplete question the complete question with the figure is below.

Answer:

Therefore,

[tex]m\angle 7=34\°[/tex]

Step-by-step explanation:

Given:

In the figure, a || b

m∠3 = 34°

To Find:

m∠7 = ?

Solution:

Corresponding Angles:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles.

 ∠ 3 and ∠7 are Corresponding Angles.

∴ [tex]m\angle 3=m\angle 7[/tex]

But m∠3 = 34

∴  [tex]m\angle 7=34[/tex] ................Transitive Property.

Therefore,

[tex]m\angle 7=34\°[/tex]

Answer:

Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.

Step-by-step explanation:

i) Let x be the number of pounds of ground beef

ii) Let y be the number of pounds of chicken.

iii) therefore    x + y = 9.5 pounds

iv) also we have   4.5 x +  3 y  = 30 dollars

v) multiplying the equation in iii) by 3 we get   3x + 3y = 28.5

vi) Subtracting the equation in v) from the equation in iv) we get  1.5 x  =  1.5

vii) Therefore x  = 1 pound

viii) substituting the value of x in vii) in the equation in iii) we get

    1 + y  = 9.5 .  Therefore y = 8.5 pounds.

ix) Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.

Answer: $25

Step-by-step explanation: what you need to do is take $150 and take $125 dollars away you will get $25!

Answer:

25

Step-by-step explanation:

25-: 2=50

125 + 25=150

Answer:

5+2(10)

Step-by-step explanation:

5+2(10)

   5+ 20

$25 for 10 miles

Answer:

The area of the hexagon is A. 96√3 cm²

Step-by-step explanation:

Let's recall the formula of the area of an hexagon, this way:

Area = (3√3/2) * s²

Area = (3√3/2) * 8²

Area = (3√3/2) * 64

Area = 192√3/2

Area = 96√3 cm²

The area of the hexagon is A. 96√3 cm²

Answer:

A. is correct

Step-by-step explanation:

Hope that this helps. Peace and Love

Answer:

Step-by-step explanation:

Equation of line is y = mx + b

m is the slope = -5

b is the y intercept = -7

:- y = -5x - 7

Answer:

4,492

Step-by-step explanation:

I really don't know the meaning of this question but that's the number.

Answer:

Inverse of function  f(x) is y =x-3

Step-by-step explanation:

Given:

f(x) = (x+3)

To Find:

Inverse of  f(x)

Solution:

Inverse of the function:

Let f: X -> Y be a function with domain X and target set Y. Then g is the inverse of f if g is a function with domain Y and target set X such that

g(f(x)) = x for all x in X

f(g(y)) = y for all y in Y.

f has an inverse function if and only if f is both one-to-one and onto. If f is one-to-one and onto, then its inverse function g is defined implicitly by the relation g(f(x)) = x.

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

Let y = f(x) = x+3

So, swapping the variables: y=x+3 becomes x=y+3

Now, solve the equation x=y+3 for y.

y=x−3

y=x−3

Answer: n ≥ 4

Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation which is to get x by itself on one side of the inequality.

Since 3 is being subtracted from 2n, add 3 to both sides of the inequality to get 2n ≥ 8. Now since n is being multiplied by 2, we need to divide by 2 on both sides of the inequality to get n ≥ 4.

Our next task is to graph n ≥ 4 on a number line and to do that, we start with a closed dot at 4. The reason we use a closed dot at 4 is because not only is n greater than 4 but it's also equal to 4. Next we draw an arrow going to the right on our number line to represent all numbers greater than 4.

When graphed, it should look something like the image attached.

The expression 3(2x-8)-11x simplifies to -5x - 24 by distributing the 3 and then combining like terms.

To simplify the expression 3(2x-8)-11x, we must first distribute the 3 to both terms within the parenthesis and then combine like terms. Here's the step-by-step process:

Multiply 3 by 2x to get 6x.

Multiply 3 by -8 to get -24.

Combine the products from steps 1 and 2 with the -11x.

So, 3(2x-8) equates to 6x-24.

Now, combine 6x - 24 with -11x (6x-24-11x).

Simplify the like terms by subtracting 11x from 6x which gives -5x.

Our final expression is -5x - 24.

Therefore, the simplified expression of 3(2x-8)-11x is -5x - 24.

Answer:

The constant m=-4, and b=33

Step-by-step explanation:

F(x)= MX+b

If f(6)=9 then x=6, m= -4

9= -4(6) + b

9= -24 + b

b= 9 + 24

b= 33

Therefore the constant m, which is the slope is -4 and b which is the intercept is 33

Given the linear function f(x) = mx + b, we see the slope m as -4. Using the point (6,9), we find the y-intercept b to be 33.

In the linear function 'f(x) = mx + b', 'm' represents the slope of the line and 'b' is the y-intercept. As it's given that the slope is -4, we replace 'm' in the equation with -4 to get 'f(x) = -4x + b'. Now, we use the point (6,9) which lies on the line, allowing us to find the value of 'b'. Substituting x = 6 and f(x) = 9 into the equation, we get 9 = -4*6 + b. After solving this equation, we find that b = 33. Therefore, the constants are m = -4 and b = 33.

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Answer:

12 = 22 × 3

Step-by-step explanation:

The fraction equivalent of 7/12% of a quantity is 7/12000.

The question is asking to derive the fraction equivalent of 7/12% of a quantity. In mathematics, a percent is a way of expressing a fractional amount using a ratio whose denominator is 100. Therefore, to convert a percent to a fraction, we write the value of the percent as a fraction with a denominator of 100.

In this case, 7/12% can be expressed as (7/12)/100. Simplifying this fraction, we get 7/12000, which is the fraction of the quantity that 7/12% represents.

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the answer is 2.4

Mean=\frac{\sum fx}{\sum f}

Where:

f is the frequency

x is the value

\frac{3+7+5+6+2+x}{6} =5

23+x=30

x=30-23

x=7

\therefore Mean=\frac{1 \times 7 + 2 \times 1+ 3 \times 3 + 4 \times 2 + 5\times 2}{15}

                      =\frac{7+2+9+8+10}{15} =\frac{36}{15} =2.4

Therefore, the mean = 2.4

sorry if its a bit confusing

Answer:

Its 2.4

Step-by-step explanation:

It looks good to me!

Answer:

Minimum allowable shelf length = 105 cm - 0.8 cm  =  104.2 cm

Maximum allowable shelf length = 105 cm + 0.8 cm = 105.8 cm

The third shelf measuring 104.1 cm is not within the specified tolerance.

The fifth shelf measuring 105.9 cm is also not within the specified tolerance.

Step-by-step explanation:

i)A company sells furniture for home assembly. Their largest bookcase has shelves that should be 105 cm, with a tolerance of 0.8 cm (105cm 0.8cm). A set of six shelves had lengths of 105.3 cm, 105.2 cm, 104.1 cm, 105.1 cm, and 105.9 cm. Find the minimum and maximum allowable shelf length. Which , if any, of the shelves are not within the specified tolerance?

ii)  Minimum allowable shelf length = 105 cm - 0.8 cm  =  104.2 cm

iii) Maximum allowable shelf length = 105 cm + 0.8 cm = 105.8 cm

iv) The third shelf measuring 104.1 cm is not within the specified tolerance.

   The fifth shelf measuring 105.9 cm is also not within the specified tolerance.

Answer:

its A

Step-by-step explanation:

not gonna explain it cause I dont have to ._. plus it wasnt that hard

Answer:

four four four four four

Answer:

4

Step-by-step explanation:

36 divided  by 8 is 4.5

4.5 x 4= 18

Answer:3/5

Step-by-step explanation: