Add the expressions. the quantity negative 6 minus one half times p end quantity plus the quantity three fourths times p minus 9 end quantity 4 over 8 times p minus 3 2 over 6 times p plus negative 15 negative 2 over 4 times p plus negative 3 1 over 4 times p minus 15

The sum of all three angles is 180°. So, x equals 14.5

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. The arc is centered at the vertex and defined by the sides in the case of a geometric angle.

Given two sides of the triangle are equal, so the two angles will also be equal.

And from the angle sum property of the triangle, we get

2(4x - 13) + 90 = 180

or, 8x - 26 =180 - 90

or, 8x = 90 + 26

or, 8x = 116

or, x = 116/8 = 14.5

And the angle is 4(14.5) - 13 = 58 - 13 = 45°

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The value of x comes out to be 9.

Here, we are given that m∠7 = 107 and m∠4 = (8x+1)

From the figure given below, we can see that angle 7 and angle 6 are vertically opposite angles. Thus-

angle 7 = angle 6

measure of angle 6 = 107°

Now, angle 6 and angle 4 are opposite interior angles and the sum of opposite interior angles is equal to 180. Thus-

m∠4 + m∠6 = 180

8x + 1 + 107 = 180

8x + 108 = 180

8x = 180 - 108

8x = 72

x = 72/8

x = 9

Thus, the value of x comes out to be 9.

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Your question was incomplete. Check for the missing figure below.

30 × 100 = 3,000, 30 × 10³ = 30,000 and 30 × 1000 = 30000. Therefore, options A, B, C and D are the correct answers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A) 30 × 100 = 3,000

Here, LHS = RHS

B) 30 × 10³ = 30,000

Here, LHS = RHS

C) 30 × 1000 = 30000

Here, LHS = RHS

D) [tex]30 \times 10^4 = 3000[/tex]

30 × 10000 = 300,000

Here, LHS ≠ RHS

E) 30 × 10000 = 30,000

= 300,000

Here, LHS ≠ RHS

Therefore, options A, B, C and D are the correct answers.

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The circle given has an area of 588 in

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr2.

We can also use diameter of a circle to find the area of a circle. The formula for that would be.

[tex]A = \pi \frac{d^2}{4}[/tex]

In the given question;

The area of the circle can be solved by substituting the values into the formula.

[tex]A = \pi r^2\\A = 3 * 14^2\\A = 588in[/tex]

The area of the circle is 588in

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given,

pi value=3

radius= 14

we know,

area of a circle (A) = πr²

= 3×14×14

= 588 cm²

A = P ( 1 + r )^t

Given A = $2000 , r = 3% = 0.03

so, after 2 years t = 2

A = 2000 * ( 1 + 0.03)^2 = $2,121.8

so, the total after 2 years = $2,121.8

==============================================================

How much money should be invested today to accumulate to $10,000 in 10 years at 4.5% compounded monthly? (Simplify your answer. Round to the nearest cent as needed)

so, A = $10,000

r = 4.5% = 0.045

t = 10 years = 10 * 12 = 120 months

So, A = P (1 + r/n)^t ,,, n = 12

10,000 = P ( 1 + 0.045/12)^120

10,000 = P * 1.567

P = 10,000/1.567 = 6,381.65 ( to the nearest cent )

so, the money should be invested = $6,381.65

The most appropriate choice for division will be given by -

48000 ÷ 800 = 60

What is division?

Division is used to obtain the value of single unit from a value of multiple unit. The number which is divided is called dividend and the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula in division

Divisor [tex]\times[/tex] Quotient + Remainder = Dividend

Here

48000 ÷ 800

At first the numbers are being divided

48 ÷ 8 = 6

Now, From three zeroes, two zeroes will get cancelled

So one zero will remain.

So the correct answer is 60

48000 ÷ 800 = 60

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Answer:

Step-by-step explanation:

sacramento

fresno

madera

bakersfield

Hope this helped!

Answer: $9.05

Step-by-step explanation:

divide 135.75 by 15 in order to find the cost of one album.

135.75 / 15 = 9.05

answer: $9.05

The function f is defined by the following rule f(x) = -3x - 2, then the value of x is, x = -2/3.

The following expression is,

f(x) = -3x - 2

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

A function is a kind of rule that, for one input, it gives you one output. An example of this would be [tex]Y = x^{2}[/tex] . If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

We can find the x - intercept,

Set y = 0,

-3x - 2 = 0

Rearrange variables to the left side of the equation,

-3x = 2

Divide both sides of the equation by the coefficient of variable,

x = -2/3

Therefore,

The function f is defined by the following rule f(x) = -3x - 2, then the value of x is, x = -2/3.

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The number given as 1/8 is a rational number

The number is given as

Number = 1/8

As a general rule, a rational number is represented as

Rational number = Numerator/Denominator

This in other words means that

A rational number can be represented as a fraction of two integers

In this case, we have

Numerator = 1

Denominator = 8

This means that the given number is 1 rational number

This is because it can be represented as a fraction of two integers

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The number of songs that will be on the final CD is 3

From the information given, we have the following deductions;

To determine the number of songs on the final CD,

For the recorded CD,

The percentage is 25%

Then, we have;

12 + (25/100 × 12)

find the quotient

12 + (0.25 × 12)

12 + 3

15 songs

For the removed songs, the percentage is 80%

We have;

15 - (80/100 × 15)

Find the quotient

15 - (0.8 × 15)

Multiply through

15 - 12

3 songs

Hence, the number is 3

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The coordinates of the middle point M is found as  (-7,0) of the line segment AB.

For the given question;

The two coordinates of the points are given ;

A( -4,4) = (x₁, y₁)

B (-10,-4) = (x₂, y₂)

The middle point M of this line segment is found as;

M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2

Put the values in the formula;

M(x, y) = (-4 - 10)/2 , (4 - 4)/2

M(x, y) = (-14)/2 , 0

M(x, y) = (-7,0)

Thus, the coordinates of the middle point M is found as  (-7,0).

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Answer:

area = 7.5 in^2

Step-by-step explanation:

area of a triangle equation: 1/2bh

b = 3

h = 5

area = 1/2(3)(5)

area = 7.5

Given expression :

subtract eah other to find the difference,

The difference is 43 × 10 exponent -2

If boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall . the elevation of the boat change between Amsterdam and Randall is 31 feet.

Given :

Boat lowered  at Amsterdam = - 12 feet

Boat lowered  at tribes hill = - 11 feet

Boat lowered  at Randall = - 8 feet

Now let calculate or determine the  change in boat elevation

Change in elevation = - 12 + ( - 11 ) + ( - 8 )

Change in elevation = - 31 feet or lowered 31 feet

Therefore we can conclude that the change in the elevation boat is 31 feet.

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Answer:

-6a-48

Step-by-step explanation:

-6 x a = -6a
-6 x 8 = -48

=================================================

Explanation:

Add up the three given numbers to get 184+232+272 = 688 people total.

Let's see if 9 is a factor of 688

688/9 = 76.44 approximately which shows 9 is not a factor of 688, and we cannot have teams of 9.

Now let's see if 8 is a factor of 688

688/8 = 86

Therefore, the largest team size is 8 and there would be 86 teams.

Sarah buys 6 tickets for first class and 2 for coach class, finding by using properties of linear equation.

What is linear equation in one variable?

A linear equation which has only one variable is called linear equation in one variable.

Let assume,

Sarah has number of first-class tickets = x

then Sarah has number of coach tickets = 8-x

(Because total tickets she has are 8)

given that

The coach tickets price = $250

The first-class tickets price =$1250

so, from above

[tex]\begin{array}{l}1250 \mathrm{x}+250(8-\mathrm{x})=8000 \\1250 x+250(8)-250(x)=8000 \\1250 x+2000-250 x=8000 \\1250 x-250 x=8000-2000 \\1000 x=6000 \\x=\frac{6000}{1000} \\x=6\end{array}[/tex]

Therefore, Sarah buys 6 tickets for first class and 2 for coach class.

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Answer:8.00347847

Step-by-step explanation:

y= 8.00347847 i think, we use SIN, because we are given the opposite and hypotonuse. sin(61)=7/y which equals 8.00347847. Don't quote me on it though i havent done geometry in a while

By HL theorem we can conclude that both the triangles are congruent

ΔAED ≅ ΔBEC

HL theorem: The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Jackie made a mistake by determining ΔADE is congruent to ΔCBE

we can't conclude it directly because the angles at D and B may be different

∠E=90° and given that hypotenuse of both the triangles are congruent

AD≅CB and leg of the two triangles are congruent AE≅BE

then by HL theorem we can conclude that both the triangles are congruent

ΔAED ≅ ΔBEC

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The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Jackie made a mistake by determining ΔADE is congruent to ΔCBE

we can't conclude it directly because the angles at D and B may be different

∠E=90° and given that hypotenuse of both the triangles are congruent

AD≅CB and leg of the two triangles are congruent AE≅BE

Then by HL theorem we can conclude that both the triangles are congruent

ΔAED ≅ ΔBEC

The amount that the item actually cost you after the discount is $28.

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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Answer:

Graph of a geometric sequence

equal changes in the input cause the output to be successively multiplied by a constant. cause the output to be successively multiplied by a constant (determined by the common ratio). Thus, geometric sequences always graph as points along the graph of an exponential function.

An example of a geometric sequence is given below as

A geometric sequence takes the function given in the formula below

When n=1, An=-3

When n=2 ,An=-1

When n=3,An =1

We can see that they do not have a constant value of the common ratio (r)

Hence,

The graph DOES NOT represent a geometric sequence

The statement that would help to show that ∠2 ≅ ∠4 is ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4

From the question, we are to determine the statement that would help to show that ∠2 ≅ ∠4

By definition, supplementary angles are angles that sum up to 180°

From the given diagram,

∠1 + ∠2 = 180° (Linear pair theorem)

Also,

∠1 + ∠4 = 180° (Linear pair theorem)

Thus,

By the substitution property,

∠2 ≅ ∠4

Hence, the proof that ∠2 ≅ ∠4 is shown by ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4

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Answer:

166 miles

Step-by-step explanation:

You can logic it out: Greg paid 168.68, but 20.95 of that was a fee.

168.69 - 20.95 is 147.74.

147.74 is the total of the per mile charges.

147.74 ÷ .89 = 166

He travelled 166 miles. (166×.89 is 147.74)

OR, do algebra (you will find these are all the same calculations... because algebra is supposed to model real life)

Let C = Greg's total cost.

Let m = number of miles travelled.

Cost is .89 per mile times the number of miles plus the base fee. In algebra this is:

C = .89m + 20.95

Substitute 168.69 for C, Greg's total cost.

168.69=.89m+20.95

Subtract 20.95

147.74 = .89m

Divide by .89

166 = m

Greg drove 166 miles.

f(x) = -7x - 1

f()= -8​

-7x - 1 = -8

-7x - 1 + 1 = -8 + 1

-7x = -7

-7x/-7 = -7/-7

Answer: by eating there head off

Step-by-step explanation:

Let:

x = Rachael's lowest test score

y = average score of the other tests

Rachael had an average score of 88 on 7 equally-weighted tests. so:

Her teacher decided to drop the lowest test grade. Rachael's average for

the 6 remaining tests is now 91. so:

Replace the valuel of y into the first equation:

solve for x:

The solution to the equation 4.50x +2500 = 2842, x = 76 represents the number of raffle tickets sold.

An equation solution is a value that validates the mathematical statement claiming that two mathematical expressions have an equivalent or equal value.

Using the equation symbol (=), an equation establishes the equality of two expressions. When the unknown values are substituted by a value, the result is the equation solution.

4.50x +2500 = 2842

Subtract 2500 from both sides:

4.50x + 2500 - 2500 = 2842 - 2500

Simplify the equations:

4.50x = 342

Divide both sides by 4.50:

x = 76 (342/4.50)

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Amount of money raised from the raffle tickets and the donations = 4.50x +2500 = 2842.

Answer:

$1,280

Step-by-step explanation:

[tex]40 + 20(62) = 40 + 1240 = 1280[/tex]