Solve for the missing length in the triangle.
7
1

Answer:

a=60

Step-by-step explanation:

add 2a+3a+a

6a

set that equal to 360

divide both sides by 6

Answer:

X = 16

Step-by-step explanation:

Hi again.

To solve this equation, use the logarithm property of equality to rewrite log7 (3x + 1) = 2 as 3x + 1 = 7^2.

We can then solve for x by subtracting 1 from both sides, giving us 3x = 7^2 - 1, then dividing both sides by 3 to get x = (7^2 - 1)/3.

Therefore, the solution is x = (7^2 - 1)/3.

So now, x will be 16.

Hope that can help :)

La clasiciación por numero de lados significa que agrupamos a polyognos segun la cantidad de lados (separados por vertices) que estos tengan.

Esto se refiere simplemente a separar poligonos en grupos dependiendo del número de lados que los poligonos tienen.

Por ejemplo:

En este caso, "triangulo" es una clasificacion que aplica a todos aquellos poligonos que tienen exactamente 3 lados.

A eso se refiere la clasificación de polígonos por el numero de sus lados.

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The length of TU is 8, WU is 10, TX is √39 and TV is 2√39. The solution is obtained using the properties of rhombus.

What is a rhombus?

A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal.

The given figure TUVW is a rhombus.

We know that the diagonals of a rhombus always bisect each other perpendicularly which means at an angle of 90°.

Since, the diagonals bisect each other, therefore

WX=XU

We are given WX = 5 so, XU = 5

Thus, WU = WX + XU

WU = 5 + 5

WU = 10

In a rhombus, all the sides are equal, therefore,

UV = VX = WT = TU = 8

Since, the diagonals bisect each other perpendicularly, therefore, we have four right angled triangles.

Using pythagoras theorem in triangle UXV, we get

⇒UX^2 + XV^2 = UV^2

⇒5^2 + XV^2 = 8^2

⇒XV^2 = 8^2 - 5^2

⇒XV^2 = 64 - 25

⇒XV^2 = 39

⇒XV = √39

So, TX = √39

TV = TX + XV = √39 + √39 = 2√39

Hence, the length of TU is 8, WU is 10, TX is √39 and TV is 2√39.

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Answer: C

Step-by-step explanation: The arrow points back to the 6 therefore 6 - 6

Answer:

To solve the equation, one needs to have the same type of terms on one side and the constants on the other side, and then using algebraic operations, isolate the variable that you want to find the value of.

For example, starting with the first equation "x = -9y" , if we assume y = 2 and we substitute that value in the equation, we can find the value of x.

x = -9*2 = -18

Then you can use the second equation to check if the value of x and y that you have found are correct by substituting the values into the equation and see if it holds true.

2(-18) - 7(2) = 44, which is true.

Hence the solution of the equation is x = -18 and y = 2.

Answer:

x = -36   and y = 4

Step-by-step explanation:

Your in college and you get this easy work. Im a sophmore in HS. anyways.. You have to subsitute into one of the equations  -2(-9y)-7y =44. Then you multiply the monomials. 18y -7y =44

Combine like terms: 11y =44

Divide both sides of the equation by the coefficient of variable: =44÷11

Calculate the product or quotient: y=4

Substitute into one of the equations: x= -9 x 4

Calculate the product or quotient: x = -36

There you go. Also I see that your new to brainly. well welcome

Answer:

Lets plug them in!

9, -3

9 is x

-3 is y

-3 = -9 + 6

-9 + 6 = -3

-3 = -3 okay so far this is looking good! Its a solution to the first one

9 - 3(-3) = 18

9 + 9 = 18

18 = 18

Its this one :)

Step-by-step explanation:

The only point that is a solution to the system of linear equations is; (1, 3).

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

Starting with the first point (9, -3),

y = -x + 6

y = -x + 6

The answer (9, -3) cannot be used.

The point (6,1) now:

y = -x + 6

1 = -6 + 6

Since this is untrue, the answer (6, 1) cannot be used.

The points (1,3) now:

y = -x + 6

3 = -1 + 6

Now we have

6x - 3y = 18

6(1) - 3(3) = 0

Since this is untrue, the (1, 3) cannot be used.

The point (-1, 6) last.

y = -x + 6

6 = 1 + 6

Now we have

6x - 3y = 18

6(-1) - 3(6) = -30

As a result, there is only one point that can be used to solve the system of linear equations: (1, 3).

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It is true that the probability symbol '^' represents the probability of an event happening.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The probability symbol '^' represents the probability of an event happening in a manner of dependent probabilities. Which describes the dependent relationship between the probability of certain events.

Thus, It is true that the probability symbol '^' represents the probability of an event happening.

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The angles m∠1 = 2x ° and m∠2 = x + 42 ° are complementary angles, and their measures are m∠1 = 32° and m∠2 = 58°.

Complementary angles angles are those angles when added together sum up to 90°. That is the sum total of complementary angles is 90°.

m∠1 + m∠2 = 90°

2x° + x + 42° = 90°

3x + 42° = 90°

3x = 90° - 42°

3x = 48°

x = 48°/3

x = 16

Therefore, the complementary angles have their measures to be:

m∠1 = 2(16) = 32°

m∠2 = 16 + 42° = 58°

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Answer:

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

Given a point (x1, y1) and a slope m, we can use the point-slope form of the equation of a line which is:

y - y1 = m(x - x1)

In this case, the point is (5, 12) and the slope is 3/5.

So the equation of the line in point-slope form is:

y - 12 = (3/5)(x - 5)

To put this equation in slope-intercept form, we need to solve for y.

To do this, we can add 12 to both sides:

y = (3/5)x + (12 - (3/5)*5)

y = (3/5)x + 12 - 3

y = (3/5)x + 9

So the equation of the line that goes through the point (5, 12) with the slope m = 3/5 in slope-intercept form is y = (3/5)x + 9

Answer:

Step-by-step explanation:

You have a length of 2.91 and you want to cut it into 3 equal pieces.

Equation:

2.91÷3=0.97

So each piece is 0.97 meters long.

Hope this helps!

Answer: The measure of A is 59

The value of 'a' in each parallelogram are,

1) a = 38

2) a = 15

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We know that;

In a parallelogram; the opposite angles are equal to each other.

So, By first figure;

We get;

⇒ 3a° = 114°

⇒ a = 114 / 3

⇒ a = 38

And, For second figure;

We get;

⇒ 40° = (3a - 5)°

Solve for a;

⇒ 40 = 3a - 5

⇒ 40 + 5 = 3a

⇒ 45 = 3a

⇒ 3a = 45

⇒ a = 45/3

⇒ a = 15

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Answer:

18

40

41

do the operations in parentheses first according to pemdas.

Dimension of the extended stage is; length = 6 m and width = 2x m

Area of the rectangular outdoor = length x width

New area = area of the outdoor + area of the extended stage

              = 216 + 12x

               = 6(36 + 2x)

New area = 6 (36 + 2x)

So that;

The dimension of the rectangular outdoor = 36 x 6

i.e length = 36 m and width = 6 m

So that the dimension of the extended stage = length x width

                                    = (6 x 2x) m

i.e length = 6 m and width = 2x m

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The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't contain equal to (> or ).

The inequality is

-21 ≤ 7x - 144

⇒ 7x≥ 144 - 21

⇒ x ≥ 123/7

⇒ x ≥ [tex]17\frac{4}{7}[/tex]

The plot on number line will be that the number will start start at x = [tex]17\frac{4}{7}[/tex] and continue on the positive side.

The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

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Answer: c

Step-by-step explanation:

Answer:

3 yd

Step-by-step explanation:

(108 in)(1 yd/36 in) = 3 yd

Answer: If the X is a multiplication symbol then it would be 75

Step-by-step explanation:

10(3^2)−(3)(3)−6

=(10)(9)−(3)(3)−6

=90−(3)(3)−6

=90−9−6

=81−6

=75

Answer:

100x2/3-3x/3-6

Step-by-step explanation:

We can conclude that -

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given are two functions as given in question.

[ 1 ] -

We can write the net change in the value as -

Δf(t) = {f(2 + h) - f(2)}

Δf(t) = {5(2 + h)² - 5(2)²}

Δf(t) = 5(4 + h² + 4h) - 5(4)

Δf(t) = 5{h² + 4h}

[ 2 ] -

f(t) = 5t²

t = (2)   to   t = (2 + h)

Now, for the given intervals, we can write the average rate of change

as -

{r} = Δf(t)/Δt

{r} = {f(2 + h) - f(2)}/{2 + h - 2}

{r} = {5(2 + h)² - 5(2)²}/{h}

{r} = {5(4 + h² + 4h) - 5(4)}/{h}

{r} = 5{(4 + h² + 4h) - 4}/{h}

{r} = 5{h² + 4h}/{h}

{r} = 5h(h + 4)/h

{r} = 5(h + 4)

Therefore, we can conclude that -

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Answer:

Step-by-step explanation:

if Cameron can read 22 pages in 14 min then take 42 min divided by 14 min and get 3 then take 3 times the number of pages 22 so you will get 22x3 equals 66 pages

A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.

A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.

When determining the inverse of a function, we write down the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y.(f∘f−1)(x)=(f−1∘f)(x)=x.

The function and its inverse are composed of x as well, but only on an interval, if the domain or range of f(x) is constrained.

If f(x) and g(x) are two functions which are Inverses of each other then either of two will be true.

→fog(x)=x

= 1/ (5 + 1/x)

1/1/x

=x

→ gof (x)=x

⇒fog(x)

=f[g(x)]

→ gof (x)

=g[f(x)]

g (1/x - 5)

= 5 + x -5

= x

Which shows that f(x)  and g(x) are inverses of each other.

→Domain of f(x)= All Real numbers excluding 5=R-{5}

→Domain of g(x)=All Real numbers  excluding 0=R-{0}

→Domain of fog(x)=All Real numbers

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The equation of the regression line is y = -0.43x + 63.27

To determine the equation of the regression line, we make use of a graphing calculator with the following summary:

The regression equation is represented as

ŷ = bX + a

So, we have

b = SP/SSX = -347.33/807.33 = -0.43022

a = MY - bMX = 35.17 - (-0.43*65.33) = 63.27457

This gives

ŷ = -0.43022X + 63.27457

Approximate

y = -0.43x + 63.27

When x = 65, we have

y = -0.43 * 65 + 63.27 = 35.32

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Answer:

1/40

Step-by-step explanation:

the difference between each denominator is 7 so continue this

12-5=7

19-12=7

26-19=7

33-26=7

x-33=7

x=33+7=40

Answer:

1/40, 33+7=40

1/47, 40+7=47

1/54,

1/61,

1/68

because each denominator is incresing by 7 so you have to add 7 to.the denominator keeping the nominator

2nd one

it should first show the pages she read then the time it took to read.

The areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units  respectively.

What are composite figures?

A composite figure is a shape that is produced from two or more fundamental shapes. Composite figures are also referred to as compound and complex shapes frequently.

Figure 1

This figure can be broken into two rectangles.

First rectangle with length 5 and width 4.

Second rectangle with length 8 and width 2 (as 6-4 is 2).

Area of rectangle= length*width

So, area of first rectangle= 5*4= 20 square units

Area of second rectangle= 8*2= 16 square units

Thus,

Area of figure= 20+16= 36 square units

Figure 2

This figure can be broken into two rectangles.

First rectangle with length 7 and width 3(as 6-3 is 3).

Second rectangle with length 2 and width 3.

Area of rectangle= length*width

So, area of first rectangle= 7*3= 21 square units

Area of second rectangle= 2*3= 6 square units

Thus,

Area of figure= 21+6= 27 square units

Figure 3

This figure can be broken into two rectangles.

First rectangle with length 12 and width 5.

Second rectangle with length 3 and width 2(as 12-(6+4) is 2).

Area of rectangle= length*width

So, area of first rectangle= 12*5= 60 square units

Area of second rectangle= 3*2= 6 square units

Thus,

Area of figure= 60+6= 66 square units

Figure 4

This figure can be broken into a rectangle and a semicircle.

Rectangle with length 8 and width 4.

Semi-circle with radius 2 ( as diameter is 4).

Area of rectangle= length*width

So, area of rectangle= 8*4= 32 square units

Area of semi-circle= 1/2πr^2

So, area of semi-circle= 1/2π(2)^2= 2π square units

Thus,

Area of figure= 32+2π square units

Figure 5

This figure can be broken into a rectangle and two squares.

Rectangle with length 10 and width 6(as 8-2 is 6).

Both squares with side 2.

Area of rectangle= length*width

So, area of rectangle= 10*6= 60 square units

Area of square= side^2

So, area of first square= 2^2= 4 square units

area of second square= 2^2= 4 square units

Thus,

Area of figure= 60+4+4= 68 square units

Hence, the areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units  respectively.

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Answer: 2.5 meters

Step-by-step explanation:

If Earl runs 75 meters in 30 seconds

75 meters ÷ 30 seconds = 2.5 meters per second

The number of trucks that will be created by the paper depot to deliver 774 cases of toilet paper if each truck loads 18 cases is 43 trucks.

Number of toilet paper a paper depot is delivering = 774 cases

Number of cases a truck will load = 18 cases

Number of trucks that will be created = Number of toilet paper a paper depot is delivering ÷ Number of cases a truck will load

= 774 cases / 18 cases

= 43 trucks

Therefore, 43 trucks are needed by the paper depot to deliver 774 cases of toilet paper at 18 cases per truck.

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