3^4x=9^3x+7 solve equation

The fact that the sum of angles A and B are supplementary to angle C is not needed to prove triangles are similar.

Triangle - what is it?

A polygon with three edges and three vertices is called a triangle. A triangle's total number of angles equals 180 degrees. In mathematics -

∠x + ∠y + ∠z = 180°

A triangle's two sides added together are greater than its third side. In mathematics -

a + b > c

There are numerous varieties of triangles, including:

Equilateral, scalene, isosceles, and other triangles are used.

Two overlapping triangles are shown.

Angle C is supplementary to the sum of angles A and B, which can be expressed as follows:

∠C = 180 - (∠A + ∠B)

Therefore, it is not necessary to demonstrate that triangles are comparable in order to show that the sum of angles A and B is added to angle C.

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The speed of the light in miles per hour is

66913574.4 miles per hour

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

1 hour = 60 minutes

We have,

1 km = 0.62 mi

1 min = 60 s

1 hr = 60 min

Speed of light = 299,792 km per second

This can be written as,

1 km = 0.62 miles

299792 km = 299792 x 0.62 miles

299792 km = 185871.04 miles

1 hour = 60 minute

1 hour = 360 seconds

1/360 hour = 1 second

1 second = 1/360 hour

Now,

= 299792 km / 1 second

= 185871.04 miles / 1/360 hour

= 185871..04 x 360 miles per hour

= 66913574.4 miles per hour

Thus,

The speed of the light is 66913574.4 miles per hour.

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Latanya has has 10 nickels and 14 dimes in total of 24 nickels and dimes altogether

Given is that Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether.

Let the number of nickels and the number of dimes that Latanya has be [a] and [b] respectively. Then, we can write the simultaneous equations as -

(a/20) + (b/10) = 1.90

a + b = 24

The equation is solved graphically. The graph is attached at the end. We get -

a = 10, b = 14

Therefore, she has 10 nickels and 14 dimes in total.

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Answer:

2.5 US gallons

4x + 5y = -10's perpendicular slope is -4/5. To find the slope, we can rearrange the equation to make it into the slope-intercept form.

To find the perpendicular slope of 4x + 5y = -10, we need to use the slope-intercept formula, which is y = mx + b.

To find the slope, we can rearrange the equation to make it into the slope-intercept form:

4x + 5y = -10

=> 5y = -4x - 10

=> y = -(4/5)x - 10/5

=> Slope = -(4/5)

Therefore, the perpendicular slope of 4x + 5y = -10 is -4/5

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The angle measure w is 1.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

tan w = 0.0175

Multiply [tex]tan^{-1}[/tex] on both sides.

w = [tex]tan^{-1}[/tex] 0.0175

w = [tex]tan^{-1}[/tex] tan 1

w = 1

Thus,

If tan w = 0.0175

The angle w is 1.

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The people have a pet dog or a pet cat would be 30.

What is Union and Intersection of a numbers?

The set of elements that are contained in either set X, set Y, or both sets X and Y is referred to as the union of two sets X and Y. The set of items that are a part of both sets X and Y is known as the intersection of two sets X and Y.

Given that:

In survey of students,

20 have dogs, 15 have cats, and 5 have both. 1 has a pet squirrel.

n(A)=Student who has dogs.

n(B)=Student who has cats.

and n(AUB)= Student who having both dogs and cats.

So,

n(A)=20

n(B)=15

n(AUB)=5

According to formula,

n(AUB)=n(A)+n(B)-n(A∩B)

i.e. n(A∩B)=n(A)+n(B)-n(AUB)

     n(A∩B)=20+15-5

     n(A∩B)=30

Hence, The people have a pet dog or a pet cat would be 30.

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The given statement to this question is true

What is an optimal solution?

An acceptable solution where the objective function reaches its highest (or minimum) value, such as the most profit or the lowest cost, is referred to as an optimal solution. When there are no other practical solutions with superior objective function values, the solution is said to be globally optimal.

Here, we have

The global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution to a nonlinear programming problem.

Because when own linear model is solved this solution is merely local optimum.

The solver should consider that other local optimum Amy does not exist with better object values. The globally optimal solution is one where there are no feasible solutions with a better objective function.

However many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions. The local optimum point is the true optimal solution for the nonlinear programming model.

Hence, the given statement to this question is true.

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Answer: B

Step-by-step explanation:

The number of chairs that are in that row length is 3.

Let the chairs in 1 row be x

Let the total chairs be y.

Since Hue can form 2 rows of a given length with 8 chairs left over, this will be:

y = 2x + 8

Also, it can be 8 rows of that same length if she gets 10 more chairs. This will be:

y = 8x - 10

Combine the equations

2x + 8 = 8x - 10

Collect like terms

8x - 2x = 10 + 8

6x = 18

Divide

x = 18 / 6

x = 3

There are 3 chairs per row.

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Answer:  The correct answer is 85.7 ounces in each bowl

Step-by-step explanation:

T = Total ounces of pretzels

B = Number of bowls

A = Amount of pretzels in each bowl

Our equation:  A = T / B

T = 428.5

B = 5

A = 428.5 / 5

A = 85.7 ounces

Answer:

no

Step-by-step explanation:

2 · (-10) -5 < -7

-20 - 5 < -7

-25 < -7

ok

-10 -5 ≥ -6

-15 ≥ -6

false

Answer:

not a solution

Step-by-step explanation:

to determine if (- 10, 5 ) is a solution to the system of inequalities.

substitute the coordinates of the point into the left side of both inequalities and compare the result to the right side.

Both inequalities must be true for the point to be a solution.

2x - y = 2(- 10) - 5 = - 20 - 5 = - 25 < - 7 ← true

x - y = - 10 - 5 = - 15 < - 6 ← false

since both inequalities are not true then (- 10, 5 ) is not a solution

Answer:

Mr. Lang bought a coat and a pair of gloves for each of his 13 grandchildren, so he bought 13 coats and 13 pairs of gloves.

Each coat cost $30, so the total cost of the coats was 13 coats * $30/coat = $<<13*30=390>>390.

Each pair of gloves cost $6.49, so the total cost of the gloves was 13 gloves * $6.49/glove = $<<13*6.49=84.37>>84.37.

The total cost of the coats and gloves was $390 + $84.37 = $<<390+84.37=474.37>>474.37.

Therefore, Mr. Lang's total purchase was $474.37.

Step-by-step explanation:

Answer:474.37

Step-by-step explanation:

The 4.024 hours spent students on homework per week.

What is a linear relationship?

A linear relation, or simply relation, between the components of a vector space or a module, is a linear equation for which the components are the solutions in linear algebra.

we have,

a linear relationship between the number of time students spends on their homework and their weekly quiz scores:

y=56+8.2x,

where y represents the expected quiz score

and x represents hours spent on homework that week.

if y = 89, then x = ?

so, put the value of y in the equation:

y = 56+8.2x,

(89) = 56 + 8.2x,

89 - 56 = 8.2x,

33 = 8.2x,

x = 33/8.2

x = 4.024

Hence, the 4.024 hours spent by students on homework per week.

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Answer: the number of hours a student should spend on their homework to expect a score of 89 on the quiz

Step-by-step explanation:

The answer is true. The curve of t-distribution has thicker tails than the curve of the standard normal distribution.

The t-distribution is also called as Student's t-distribution which is a type of probability distribution with a bell shape which is similar to  normal distribution but has thicker tails. It is used to estimate population parameters when sample sizes are small or variances are unknown. T-distributions have a higher probability of extreme values more than normal distributions which results in thicker tails.

Tail thickness is determined by a t-distribution parameter called degrees of freedom, with lower values resulting in heavier tails and higher values resulting in the t-distribution resembles standard normal distribution with a  standard deviation of 1and mean of 0.

Thus, t-distribution has thicker tails than the normal distribution.

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Answer:

1320 feet

Step-by-step explanation:

The range of the graph given below is {0,-1,-5,2}   .

In the question ,

a graph with points marked on it is given ,

we have to find the range of the graph .

form the graph we can see  that the coordinates of the points are

= {(5,0) , (1,-1) , (-1,-1) , (-2,-5) , (-3,2)}

all the x coordinates are the domain and all the y coordinate are terms as range .

So , the domain is = {5,1,-1,-2,-3}

and he range is = {0,-1,-5,2}

Therefore , the range of graph is {0,-1,-5,2} and the domain is {5,1,-1,-2,-3}  .

The given question is incomplete , the complete question is

How do I find the range of a graph given below ?

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The value of the number is N = -55/18

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as N

The value of N is given by

The product of -1.8 and 3 more than a number as the same as 1 / 10

So , substituting the values in the equation , we get

product of -1.8 and 3 more than a number

And , -1.8 x ( N + 3 ) is equal to 1/10

So , the equation will be

-1.8 x ( N + 3 ) = 1/10

Divide both sides of the equation by -1.8 , we get

N + 3 = -1/18

Subtracting 3 on both sides of the equation , we get

N = -1/18 - 3

On simplifying the equation , we get

N = ( -54 - 1 ) / 18

N = -55/18

Therefore , the number is -55/18

Hence , The value of the number is N = -55/18

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The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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Answer: 3 divided by 3 is 1

The expression for the measure of the angle is arc UZW/2

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point.

An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

A protractor or other straightforward geometric instrument is used to measure angles. It is more common to use a protractor than a compass. Angle measurement is useful for determining the precise angle. We regularly come across various angles in geometry, and we may determine the measurements of angles by using these tools.

Keep in mind that an arc's angle in a circle's center is twice as large as its angle everywhere else on the circle's perimeter. This leads us to the following expression for the given angle's measurement:

Given,

m<UXY

m<UXY = arc UZW/2

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Answer:

A) x < 3 or x > 6
Explain:

In this problem, the best discounts are offered for donut orders that are either less than 3 dozen or greater than 6 dozen. Therefore, the correct inequality to choose is option A: x < 3 or x > 6.

The average speed of the whole journey of car based mentioned speeds is 48 km/hr.

The average speed is calculated by the formula -

average speed = total distance covered ÷ total time taken. The total distance covered is sum of distance of first and return journey. Total distance covered = 100 + 100

Performing addition

Total distance covered = 200 kilometres

Now total time taken = time taken on first journey + time taken for return journey

Total time taken = distance/speed + distance/return speed

Total time taken = 100/60 + 100/40

Performing division

Total time taken = 5/3 + 5/2

Total time taken = 10 + 15/6

Total time taken = 25/6 hour

Average speed = 200/(25/6)

Average speed = (200×6)/25

Performing division and multiplication

Average speed = 48 km/hr

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The current growth rate of the island is given as follows:

-43%.

The first step in calculating the growth rate is obtained the increases and the decreases in the population, as follows:

The total change is obtained by the subtraction of the increases by the decreases, as follows:

Total change = 12,000 - 25,000 = -13,000

Then the growth rate, as a percentage, is obtained by the division of the total change of -13,000 by the initial population of 30,000 and then multiplied by 100%, as follows:

-13,000/30,000 x 100% = -43%.

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Answer: The bench would cost about 396$

hope I helped you :D

Answer:

the bench costs $350

Step-by-step explanation:

Let's assume cost of table be T and bench be B

therefore,                 T+B= 746        ...........(1)

while we are given    T= B+46     ............(2)

                                  using (2) in (1)

                              [B+46] + B =746

                               2B= 700

                        B=350

So, cost of bench= $350

Answer:

x x x x x x x         x x x x x x x

x x x x x x x         x x x x x x x

x x x x x x x         x x x x x x x

x x x x x x x         x x x x x x x

Step-by-step explanation:

The x represent the muffins.

Answer:

5(20-n)

Step-by-step explanation:

you "take out" a five from both number by dividing

100/5= 20

5n/5=n

Answer:

-5(n+20)

Step-by-step explanation:

100-5n

-5+100

-5n+100

-5(n+20)

end

(this might be it not sure 100%)

To find the range of numbers we subtract the largest number by the lowest numbers.

In the given question,

We have to explain, the range of a numbers.

The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).

The difference between both the highest and lowest numbers in a collection or set is known as the range.

To find the range of numbers we subtract the largest number by the lowest numbers.

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If we have a 90 in class but get a zero that is worth 15 points, 0 will be that grade.

I know it takes 3 '15' to get 'C' from 0. Knowing this, getting zero is not recommended.

Here is the information we need to know to answer the question correctly.

For example:

3 allocations of 100 each .

3 x 15 = 45

45 / 3 = 15%

But now 0:

The same 3 allocations of 15 each AND these 0...

3 x 15 = 45

45 / 4 = 11.25%  which is a 25 point drop at zero.

Let's say we have 10 allocations of 15 each...

10 x 15 = 150

150 / 10 = 15%

But we have 15 allocations of the same Questions each, which is 0.

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The paragraph proof that is written to prove that if PQ=4(x−3)+1, QR=x+10, and x=7, then PQ≅QR is given below.

The midpoint of a straight line is a point that divides then line into two equal portions.

Therefore to prove that PQ ≅ QR, the required steps are stated below:

A point on a given straight line which divide it into two equal parts is termed midpoint. So that any mathematical expression for the first fraction or part, is the same as that for the second fraction or part.

In the given question, point Q is the midpoint of line PR.

So that:

PR = PQ + QR     (Midpoint theorem)

Thus, PQ = QR     (Midpoint theorem)

But, PQ=4(x−3)+1,

QR=x+10, and x=7.

Substitute the value of x in both PQ and QR to have;

PQ = 4(x−3)+1      = 4(7 - 3) + 1      = 4*4 + 1PQ = 17  

(Midpoint theorem) QR = x+10      

= &amp; + 10QR = 17  

(Midpoint theorem)

Therefore, PQ ≅ QR

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