An angle is measured 9 more than two times the measure of its supplement. find the measure of both angles.

1,2,5 square root both sides

The inequality that shows the number of shirts that Lisa buys is given as 15x + 35 ≤ 137

An equation is an expression that shows the relationship between two or more numbers and variables.

Let s represent the number of shirts that Lisa buys. Lisa only has $137 to spend, therefore:

15x + 35 ≤ 137

The inequality that shows the number of shirts that Lisa buys is given as 15x + 35 ≤ 137

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The slope intercept form is y = 1/4x + 13/4

The general expression for slope intercept form is given as follows

                 y = mx + c

        where, m = slope of the line

                       c = intercept

We have been given the equation that is,

         y – 2 = 1/4(x+ 5)

We will solve this step by step to convert it into the general form that is,

       y – 2 = 1/4(x+ 5)

       y – 2 = 1/4x + 5/4

          y = 1/4x + 5/4 + 2

          y = 1/4x +13/4

which is in the general form of   y= mx + c where m = 1/4 and c = 13/4

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The standard deviation is 7.35.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79

Determine the difference between each value and the mean and then square the result:

(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)²  + (84- 79)²  + (68 - 79)²  +( 75- 79) ²

64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432

Determine the mean of the sum of the squared differences and then find the square root of the mean:

√432 / 8 = 7.35

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Answer:

18

Step-by-step explanation:

Substitute x with 8 :

6(8-5) =

8-5 = 3

6(3) = 6 × 3 = 18

Therefore 18 is our final answer

Hope this helped and have a good day

Hey there!

6(x - 5)

= 6(8 - 5)

= 6(8) + 6(-5)

= 48 - 30

= 18

OR EVEN:

6(x - 5)

= 6(8 - 5)

= 6(3)

= 18

18 = 18

Therefore, your answer should be:

18

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1000

Step-by-step explanation:

The closest 1000 to 598 is 1000.

Answer:

x > 2

Step-by-step explanation:

because , you have to use inverse operation to check your answer .

-6x-4< 2x-20

-6x-4+4<2x-20=4

-6x<2x-16

-6x-2x<2x-16-2x

-8x<-16

(-8x)(-1)>(-16)(-1)

8x>16

8x/8 > 16/8

x>2

The equation that has no solution is 24x+32-2.1x = 20.9x+30+x-2

Part A

24x+32-2.1x = 20.9x+30+x+2

Add like terms

24x-2.1x-20.9x-x = 30+2-32

0x = 0

Infinitely many solutions

Part B

24x+32-2.1x = 20.9x+30+x-2

Add like terms

24x-2.1x-20.9x-x = 30-2-32

0x = -4

There is no solution

Part C

24x+32-2x = 20.9x+30+x-2

Add like terms

24x-2x-20.9x-x = 30-2-32

0.1x = -4

x = (-4)/0.1

x = -40

It has only one solution

Part D

24x+32 = 20.9x+30

Add like terms

24x-20.9x = 30-32

3.1x = -2

x= (-2)/3.1

x = -0.64

It has only one solution

Hence, the equation that has no solution is 24x+32-2.1x = 20.9x+30+x-2

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The value of top angle x will be 104° for the given isosceles triangle.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the roof as an isosceles triangle with a base angle of 38°.

Since in an isosceles triangle two sides and two angles are equal.

Since the sum of all angles of a triangle is 180 degrees.

So,

x + 38 + 38 = 180

x + 76 = 180

x = 104°.

Hence "The value of top angle x will be 104° for the given isosceles triangle".

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Answer:

m1 = 122°

m2= 58°

Step-by-step explanation:

M1 is an alternate interior angle, of 122°, which means that that angle is also 122°.

The line with m1 and m2 added together equal 180°, so we can subtract 122 from 180 to find m2.

180-122= 58

Step-by-step explanation:

A and B are similar but not congruent

similar=same shape

congruent=same shape and same size

If AB = 6y - 14, BC = 10 - 2y then the value of AC = 8.

In geometry, the midpoint is the point in the middle of a line segment. It is equidistant from both endpoints and serves as the segment and endpoint centroid. It cuts the segment in half.

Given: AB = 6y - 14, BC = 10 - 2y

Since B is the midpoint of AC, AB = BC then

6y - 14 = 10 - 2y

Add 14 on both sides of the equation, and we get

6y - 14 + 14 = 10 - 2y + 14

6y = - 2y + 24

Add 2y on both sides of the equation

6y + 2y = - 2y + 24 + 2y

simplifying the above equation, we get

8y = 24

y = 24/8

y = 3

Substitute the value of y in AC then we get

AC = 2(6(3) - 14)

= 2(4)

AC = 8

Therefore, the value of AC = 8.

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The statement, m∠A ≅ m∠B, represents the congruence property.

The congruency property of equality states that if two angles have measures that are equal to each other, then both angles are said to be congruent to each other.

Given that:

The measure of angle A = 29 degrees

The measure of angle B = 29 degrees.

Since both angles have the same measure, then both angles are congruent to each other.

Therefore, the statement, m∠A ≅ m∠B, represents the congruence property.

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The first five terms of the sequence an =5 n-3 are 2, 7, 12, 17  and 22.

According to the question.

We have a formula or a rule for finding the terms of a sequence i.e.

an = 5n -3.

The first term of the sequnence an = 5n - 3 is given by

a(1) = 5(1) -3 = 5 -3 = 2

The second term of the sequence an = 5n - 3 is given by

a(2) = 5(2) - 3 = 10 - 3 = 7

The third term of the sequence an = 5n -3 is given by

a(3) = 5(3) - 3 = 15 - 3 = 12

The fourth term of the sequence an = 5n - 3 is given by

a(4) = 5(4) - 3 = 20 - 3 = 17

The fifth term of the sequence an = 5n - 3 is given by

a(5) =  5(5) - 3 = 25 - 3 = 22

Hence, the first five terms of the sequence an =5 n-3 are 2, 7, 12, 17  and 22.

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The AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar.

What is a triangle similarity criterion?

According to the Angle-Angle (AA) criterion, two triangles are considered comparable if "two angles of one triangle are respectively equivalent to two angles of another triangle."

What distinguishes AA similarity from AAA similarity?

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The solutions of the quadratic equation [tex]x^{2}[/tex]-20=8 x are -2 and 10.

The given quadratic equation is [tex]x^{2}[/tex] - 20 = 8 x . To get the solutions of the given quadratic equation we need to simplify the quadratic equation. The step wise simplification of the given quadratic equation is,

[tex]x^{2}[/tex] - 20 = 8 x

[tex]x^{2}[/tex] - 8x -20 =0

on breaking -8x in two parts as -10x + 2x , we will get

[tex]x^{2}[/tex] -10x + 2x -20 = 0

x (x - 10) + 2 (x - 10) = 0

On taking (x-10) as common, we get

(x-10) (x+2) = 0

x = -2 , 10

The solutions of the quadratic equation [tex]x^{2}[/tex]-20=8 x are -2 and 10.

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Answer: Option (4)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of the line we want to find is -5/3.

Of the options, the only one that satisfies this is choice 4.

The value of the expression [tex]5c^{3} -6c\sqrt{-2c}[/tex] at c = -5 is [tex]5(-125 +6\sqrt{10})[/tex]  .

An algebraic expression is an expression having constant and variable joined with algebraic operation(+,-,×,÷).

For Example , 2c+5x+6 is an algebraic expression.

In the given expression

[tex]=5c^{3} -6c\sqrt{-2c}[/tex]

Substituting the value of c = -5 .

We get ;

[tex]=5(-5)^{3} -6(-5)\sqrt{-2(-5)}[/tex]

[tex]=5(-125) +30\sqrt{-2(-5)}\\ \\ =-625 +30\sqrt{10}[/tex]

taking 5 common from both the terms

[tex]=5(-125 +6\sqrt{10})[/tex]

Therefore , the value of the expression [tex]5c^{3} -6c\sqrt{-2c}[/tex] is [tex]5(-125 +6\sqrt{10})[/tex].

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The standard equation for the given slope is y - 2 = 0

These are two methods for finding the equation of a line given a point and slope. Create the equation y = mx + b.

We just solved using the m given in the problem and the b. Point-slope form = y-y1 = m (x-x1), where (x1, y1) is the specified point and m is the specified slope. "x" and "y" remain as variables.

Putting (0,2) for (x1, y1) and m=0, we get

y-2=0(x-0)

(y-2) =

y-2=

+y-2=0

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Answer:

1.)

[tex]\frac{3a}{4} =\frac{1}{4} \\[/tex]

cross multiply

[tex]12a=4\\\frac{12a}{12} =\frac{4}{12} \\a=\frac{1}{3}[/tex]

2.)[tex]\frac{7}{2} =\frac{c}{\frac{8}{7} }[/tex]

cross multiply

[tex]c=\frac{7}{2} *\frac{8}{7} \\c=\frac{56}{14} \\c=4[/tex]

3.)[tex]\frac{6}{5} =\frac{h}{\frac{3}{8} } \\[/tex]

cross multiply

[tex]\frac{6}{5} *\frac{3}{8} =h\\h=\frac{18}{40} \\h=\frac{9}{20}[/tex]

4.)[tex]\frac{-2}{9} =\frac{-3m}{2} \\[/tex]

cross multiply

[tex]-2(2)=9(-3m)\\-4=-27m\\\frac{-4}{-27}=\frac{-27m}{-27} \\m=\frac{4}{27}[/tex]

5.)[tex]\frac{7}{6} =\frac{7p}{3} \\42p=21\\ \frac{42p}{42} =\frac{21}{42} \\p=\frac{1}{2}[/tex]

6.)[tex]\frac{x}{\frac{1}{7} } =-\frac{4}{7} \\x=\frac{1}{7} *\frac{-4}{7} \\x=\frac{-4}{49}[/tex]

7.)[tex]\frac{n}{\frac{4}{9} } =\frac{10}{9} \\n=\frac{10}{9} *\frac{4}{9} \\n=\frac{40}{81}[/tex]

8.)[tex]\frac{5}{3} g=-\frac{8}{3}\\ g=-\frac{8}{3} /\frac{5}{3} \\g=\frac{-8}{3}*\frac{3}{5} \\ g=\frac{-24}{15} \\g=\frac{-8}{5}[/tex]

Answer:

22 divided by 2 equals 11, so each shirt at store one, you are getting for $11. Store 2 is having a sale of 10% off 12.99 is 11.69, so each shirt is $11.69. So, Store 1 is a better deal.

Step-by-step explanation:

Answer:

1.38$

Step-by-step explanation:

QUESTION

Two stores are having sales on the same shirt. the sale at store 1 is "2 shirts for $22" and the sale at store 2 is "each $12.99 shirt is 10% off". explain how much will you save by buying at store 1.

EXPLANATION

store one 2 shirts 22$

store 2 1 shirt 12.99/10=1.30 so 12.99-1.30=11.69x2=23.38

23.38-22=1.38

Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

for our rectangle here that means

2×(5x) + 2×(x - 3) = 42

10x + 2x - 6 = 42

12x - 6 = 42

12x = 48

x = 4

length = 5x = 5×4 = 20 in.

width = x - 3 = 4 - 3 = 1 in.

Variable - These are the unknown quantities that expected to estimate it as an output.

Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.

Constraints - the restrictions on the variable open linear programming problem are called constraints.

The conditions x ≥ 0, y ≥ 0 called non negative restrictions.

Objective equation - the objective equation should be specified in a quantitative way.

It is of the form Z = ax + by

where x and y are decision variable.

Z is to be maximized or minimized to find the solution.

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Answer:

The value of the given series is 49.75

Step-by-step explanation:

This is a problem from geometric progression ,

As we know the formula for geometric progression is aₙ = a₁ r ⁿ⁻¹

Where , a₁ is the first term and r is the ratio , and n is the number of terms.

Ratio is , 40/80 = 1/2

Here , a₄ = 80 . (1/2)⁴ ⁻ ¹ = 80 / 8  = 10

a₅ = 80 . (1/2)⁵ ⁻ ¹ = 80 / 16 = 0.5

a₆ = 80 . (1/2)⁶ ⁻ ¹ = 0.25

a₇ = 80 . (1/2)⁷ - ¹ = 0.125

a₈ = 80 . (1/2) ⁸ ⁻ ¹ = 0.625

Now the series can be written as .

80-40+20- 10 + 0.5 - 0.25 + 0.125 - .625 = 49.75

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Answer:

the square root rounded up is around 8

Step-by-step explanation:

because if the 5 is not beside the number it rounds down and the number was 3 so its 8

Check the picture below.

Answer:

[tex]x=-\frac{42}{31}[/tex]

Step-by-step explanation:

2 ( 5 - 10x ) + 8x = 19x + 52

→ Expand brackets

10 - 20x + 8x = 19x + 52

→ Simplify

10 - 12x = 19x + 52

→ Minus 19x from both sides

10 - 31x = 52

→ Minus 10 from both sides

-31x = 42

→ Divide both sides by -31

[tex]x=-\frac{42}{31}[/tex]

a) The square that does not touch one of the perimeter squares is the square 3C.

b) The area is 10 units.

The perimeter squares are the outer squares of the image. So, the only square that does not touch one of the perimeter squares is the central one. To identify it, you need to first see in which row it is, and you can see that it is row 3.

Then you need to identify the column, the central square is in column C.

Then the square that does not touch one of the perimeter squares is the square 3C.

What is the combined area of rows 4 and 5?

Let's say that each square has an area of one unit. Now, we have 5 columns, then each row has 5 squares, then the area of each row is 5 units.

So, if we have two rows, the area will be: 2*5  units = 10 units.

The area is 10 units.

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Answer: 146 cm

Step-by-step explanation:

A simple way to find the perimeter of a rectangle is to double both sides and add them.

(49.5 * 2) + (23.5)

= 99 + 47

= 146