8x + 4 = 27 + 6x - 15

21°.

In a right-angle triangle, there is always a 90° angle. Because of this, and our knowledge about a 69° angle, when we add 90° + 69° and get 159° as a result, we just subtract this from the area of a triangle, which is 180°. 180° - 159° = 21°, hence the missing and third angle is 21°.

The value of x is for the two rectangular table to have the same area is 6 or -1.

The dimensions of table one is x+4 and x, hence the area is:

Area = length * breadth

A = (x + 4)(x)

A = x² + 4x

The dimensions of table two is 2x + 3 and x - 2, hence the area is:

Area = length * breadth

A = (2x + 3)(x - 2)

A = 2x² - 4x + 3x - 6

A = 2x² - x - 6

Since both tables have same area, hence:

x² + 4x = 2x² - x - 6

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0

x(x - 6) + 1(x - 6) = 0

(x + 1)(x - 6) = 0

x = -1 or 6

The value of x is 6

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Office programs' status bar, which is located at the bottom, shows the status of any options that have been chosen to appear there.

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Answer:

Step-by-step explanation:

118.5

Sum of all angles in the kite is 360.

XYW = 23

XYZ = 46

ZWY = 41

ZWX = 82

We'll make the 2 angles left 2x in the equation because they are congruent.

2x+82+41=360

I got 118.5. This is a weird number, I'm not sure if it's right, but I don't have time to check.

The explicit equation for the arithmetic sequence whose first term and second term are 3 and 5 respectively is; a (n) = 3 + 2 (n - 1).

The domain of such an arithmetic sequence includes the set of all positive integers, n.

Recall that the explicit equation of an arithmetic sequence takes the form;

a (n) = a (1) + d (n - 1).

where; a (n) is the nth term of the sequence.

a (1) = the first term of the sequence.

and d = common difference between each successive terms.

On this note, the required explicit equation of the arithmetic sequence is; a (n) = 3 + 2 (n - 1) since the common difference, d = 5 - 3 = 2.

The domain is the set of all possible values of n which includes all positive integers.

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x = hours tutoring

y = hours shoveling snow

so Kayla will be tutoring for "x" hours at 20 bucks a pop, so she'll make a total amount of 20*x or 20x.

Kayla is going to be shoveling snow "y" hours at 15 bucks a pop, so she'll make the whooping amount of 15*y or 15y.

whatever "x" and "y" are, their sum must be no more than 3

whatever the sums of 20x and 15y are, their sum must be at least 50 bucks

The power of man weight 40 m in 15 min is 394.8 N x distance / 900 seconds the distance is not provided in the question, so it's impossible to calculate the power.

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Answer:

2 hours 33 mins

Step-by-step explanation:

Answer: 2 Hours and 47 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation: so first you know how we have a right and left with our hands so that’s the same thing with the triangle is southern on the right and nothing left I’m not sure.

Answer:

14(3m + 4n)

Step-by-step explanation:

Now we have to,

→ factor the given expression.

The expression is,

→ 42m + 56n

Let's factorise the expression,

→ 42m + 56n

→ (14 × 3m) + (14 × 4n)

→ 14(3m) + 14(4n)

→ 14(3m + 4n)

Hence, answer is 14(3m + 4n).

Side, Side, Side (SSS)

Are Congruent

Using the relationships between triangles based on the sides and angles we can determine whether or not triangles are congruent.

Congruent Sides

The diagram shows 2 triangles, and the sides of the triangles have tick marks to show that it is congruent to one of the sides of the other triangle. For example, both triangles have one side that has one tick mark. This means that these sides are congruent. Additionally, the sides with 2 tick marks are congruent and the same for the sides with 3 tick marks. Thus, it can be said that the sides of the triangles are congruent to each other.

Side, Side, Side

One of the most common relationships is side, side, side. This relationship occurs when 2 triangles have 3 sides that are congruent to each other. Side, side, side is usually shortened to SSS. This relationship will always prove congruency because triangles cannot have equal sides without the angles also being congruent.

Answer:

21 inches

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side of a square

P = 4 ( 5 1/4)

   = 4 * 5 + 4 * 1/4

   = 20 + 1

  = 21

Answer:

the Pythagorean Theorem

√73 = 8.544

a leg

hypotenuse

√89 ≈ 9.434

Step-by-step explanation:

Use the Pythagorean theorem since you are finding the hypotenuse of a right triangle.

AC = √(8² + 3²) = √73 ≈ 8.544

CG is a leg of right triangle ACG

AG = √(73 + 16) = √89 ≈ 9.434

Five pupils both swim and dance. Then the number of pupils in the class will be 25.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Every pupil in class either swims or dances or both. Three-fifths of the class swim and three-fifths dance. Five pupils both swim and dance.

Let 'x' be the total number of pupils. Then the equation is given as,

A∪B = A + B - A∩B

x = (3/5)x + (3/5)x - 5

x = (6/5)x - 5

(1/5)x = 5

x = 25

Then the number of pupils in the class will be 25.

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Question 7

[tex]3(2+x)=-3 \\ \\ 2+x=-1 \\ \\ \boxed{x=-3}[/tex]

Question 8

[tex]4(5+x)=-4 \\ \\ 5+x=-1 \\ \\ \boxed{x=-6}[/tex]

The graph of a function must be linear if it has ''a constant slope.''

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The graph of a function must be linear.

Now,

We know that;

A linear function graphs as a straight line if It will have a constant rate of change.

Thus, The graph of a function must be linear if it has ''a constant slope.''

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Answer:

16

Step-by-step explanation:

8+8=16

Answer:

Step-by-step explanation:

They're not identical, but they are both right triangles, so yes they are similar.

When we divide the given decimal numbers and round off the answer to the nearest whole number, The answer is 8.

Whole numbers are the set of non-negative integers including 0, 1, 2, 3, 4, 5, and so on. They are numbers that can be counted and do not have fractions or decimals. Whole numbers are often used to count discrete objects and are an important foundation for many areas of mathematics, including number theory and combinatorics. They are opposite of the negative numbers and called Non-negative integers.

Round off is a method of approximating a number to a certain number of significant figures or decimal places. It involves replacing the least significant digits in a number with a 0 or a 5, depending on the next digit, in order to make the number simpler or more manageable. This can be done with the help of mathematical functions (e.g. round(), floor(), ceil() etc) in various programming languages. It is used to simplify large and complex numbers for ease of calculation, or to present data in a more readable form.

45.68/5.97

=7.65

rounding off to the nearest whole number , We get 8.

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The distance between the following numbers on the real number line is -5.

What is a number line?

A straight line with numbers positioned along it at equal intervals or segments. Positive and negative numbers are listed on each side of zero and continue forever on a number line, which is a straight line with a "zero" point in the center.

Here, we have

Given: a = -10, b = -15​

We have to determine the distance between the following numbers on the real number line.

According to the given question, we have

= b - a

= -15 - (-10)

= 15 + 10

= -5

Hence,  the distance between the following numbers on the real number line is -5.

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The another way to represent the same line is y=-(3/2)x + 2

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

3x+2y=4

Move x term to the right side

2y=4-3x

divide both sides by 2

y=4/2 - (3/2)x

=> y=2-(3/2)x

=> y=-(3/2)x + 2

So, the another way to represent the same line is y=-(3/2)x + 2

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The length of the added metal bar is exactly 5cm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given cuboid the length is of 4 meters

The height is 3 meters.

We need to find the length of the added metal bar.

We can find this by using pythagoras theorem

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

In the given figure the added metal bar is the hypotenuse.

4²+3²=d²

25=d²

d=5

Hence, the length of the added metal bar is exactly 5cm.

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Answer:

The total discounted price to buy 4 adult tickets, 2 senior citizen tickets, and 3 student tickets is 96$ + 32$ + 18$ = 146$

Step-by-step explanation:

The discounted price for each ticket type is 3/5 of the original price, so for 4 adult tickets the discounted price is 4 * 24 * 3/5 = 96$, 2 senior citizen tickets is 2 * 16 * 3/5 = 32$, and 3 student tickets is 3 * 12 * 3/5 = 18$. Summing these together gives us 96$ + 32$ + 18$ = 146$.

Hope this helps!

The first and the third quadrilateral is parallelogram and the second one is not parallelogram.

Quadrilaterals are the closed figures or polygons in two dimensional geometry which has four vertices, four sides and four angles.

All parallelograms have opposite sides that are equal in length and parallel.

The first quadrilateral has two opposite sides equal. Also matching arrow indicates they are parallel.

So the first figure id parallelogram.

Second figure does not have equal opposite sides and parallel opposite sides.

So the second one is not parallelogram.

The third figure also has equal opposite sides and parallel opposite sides.

So the third one is parallelogram.

Hence the quadrilaterals shown in the first and third figures is parallelogram.

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The number of grapes that 8 people eat more than 5 people, given the table attached, is 34 kg of grapes

To find the amount of grapes that 8 people eat more than 5 people, the formula would involve subtracting the amount of grapes eaten by 5 people from the amount of grapes eaten by 8 people.

From the graph, the amount of grapes eaten by 8 people would be 74 kg of grapes. The amount of grapes eaten by 5 people was 40 kg of grapes.

The amount of grapes that 8 people eat more than 5 people, is therefore :

= Grapes eaten by 8 people - Grapes eaten by 5 people

= 74 - 40

= 34 kg of grapes

In conclusion, the amount of grapes that 8 people eat more than 5 people, is 34 kg of grapes.

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Answer :2.3 miles

Step-by-step explanation

12130/5280= 2.3 miles

The thickness of a coin will be measured in millimeters.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,  though the real measurement is still the same the units and numerical values have been changed.

For the Conversion to Millimeter

1 meter = 1000 millimeter.

1 centimeter = 10 millimeter,

1 kilometer = 1000000 millimeter

We know that the thickness of the coin is too small. To be measured in meters or kilometers of the coin.

Hence, the thickness will be measured in millimeters.

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The series of the transformation will be reflected across the x-axis, translating 9 units to the Right and 2 units down. Then the correct options are A and C.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position. Picture, after translation, refers to the object's ultimate organization and placement.

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The series of the transformation will be reflected across the x-axis, translating 9 units to the Right and 2 units down. Then the correct options are A and C.

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The complete question is attached below.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Based on the figure on the graph, match the described transformations with the transformed figures.

Reflected across the x-axis

Rotated 180° clockwise

Translated 9 units to the Right and 2 units down

Reflected across the y-axis