If PN = 2x + 5 ON =x + 3 and OS = 3x - 2. Solve for ps

Explanation

The price of the calculator is discounted 45%al

We need to use some properties of the kyte:

· The opposite obtuse angles are equal. In the figure, this means ∠WZY = ∠WXY

· The large diagonal bisects the angles ∠ZWX and ∠XYZ

56 ask us to find m∠XYZ. We can note that the angles ∠ZXY and ∠XZY are congruent. And we know that the interior angles of the triangle XYZ add to 180º.

m∠VXY = m∠VZY = 58º

Then:

The answer to 56. is 64º

57 ask us to find m∠ZWV, we can use the second property listed above. The large diagonal bisects the angle ∠ZWX. Since we know ∠ZWX = 50º, then:

The answer to 57 is 25º

58 ask us to find m∠VZW. We know that the sum of all internal angles of a kite (or any quadrilateral), is 360º.

We know:

m∠ZWX = 50º

m∠WZY = m∠WXY

m∠XYZ = 64º

Then:

And:

Now replace the known values of m∠WZY = 123º and m∠VZY = 58º:

The answer to 58 is 65º

59 ask us to find m∠WZY, we sis it in 58 to find m∠VZW.

The answer to 59 is 123º

Answer:

The cost per mile for each and all the expenses is;

Explanation:

Given that;

An accountant executive had car expenses of $1025.58 for insurance, $1805.82 for gas, $37.92 for oil, and $288.27 for maintenance during the year.

The sum of the four expenses is;

During the year it travels 11,320 miles.

The cost per mile for each of the items are;

For Insurance;

For gas;

For oil;

For maintenance;

The total cost per mile will be;

The cost per mile for each and all the expenses is;

Step 1:

Most mortgages are also simple interest loans, although they can certainly feel like compound interest. In fact, all mortgages are simple interest except those that allow negative amortization. An important thing to pay attention to is how the interest accrues on the mortgage.

Step 2:

Step 3:

Write the given data

P = $80000

t = 30 years

r = 10%

Step 4

Final answer

Interest = $240000

Given:

A musician plans to perform 5 selections.

To find the total number of possible ways he can arrange the musical selections:

At the first time, there are 5 possibilities to make the musical selections.

At the second time, there will be 4 possibilities to make the musical selections.

At the third time, there will be 3 possibilities to make the musical selections.

At the fourth time, there will be 2 possibilities to make the musical selections.

At the fifth time, there will be 1 possibility to make the musical selections.

So, we have,

Hence, the answer is 120 ways.

Solution:

Given:

The parametric equations are gotten by first resolving the velocity into horizontal and vertical components.

Recall;

Hence, the parametric equations are:

Answer:

The number in the tenths place is

Rounding the number to the tenths place, we have;

Explanation:

Given the number;

The number in the tenths place is the first number after the decimal point. Which is;

Rounding the number to the tenths place, we have;

Answer:

The measures of the two angles are 46° and 134°.

Explanation:

Let x and y be the two angles:

x+y=180

It is mentioned that the measure of one angle is 4 degrees less than three times the other.

Let:

y=3x-4

Then, we substitute y=3x-4 into x+y=180.

So,

We substitute x=46 into x+y=180. So,

Therefore, the measures of the two angles are 46° and 134°.

we can rewrite the expression with a factor

and we can rewrite again with the other factor "d"

Given:

Substitute the value of m=2 and n=3 into the

Answer:

27/55 × 100 = 49.0909090909 %

Given the equation:

It's required to solve it for h, that is, isolate h as the only letter on the left side of the equation.

First, swap sides.

Then, divide both sides of the equation by b:

Simplify the left side:

Let's rewrite the mixed number as a fraction, using the following formula:

So:

To write -943/100 we can use long division, or since we are dividing by 100 we can simply move the decimal point two units to the left, so:

Answer:

-9.43

The percentage of the beads on clearance are plastic is 92%.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that At Hayley’s Beading Boutique there are 23 plastic beads and 2 metal beads on clearance.

The percentage will be calculated as,

P = 23 / 25

P = 0.92

Multiply by 100 to convert into a percentage,

P = 92%

Therefore, the percentage of the beads on clearance are plastic is 92%.

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Recall that the Angle-Angle criterion states that two triangles are similar if two of their angles are congruent.

Now, recall that the interior angles of a triangle add up to 180 degrees, therefore, the other side of the largest triangle has measure

Therefore, the values that x could be are:

Answer: First option.

7-(-0.9)

7+ 0.9 = 7.9

Number line:

The number that Elena calculated is the constant of proportionality, which express the ratio of two proportional quantities. In this case, it expresses how much does the amount of tomatoes vary when the amount of onions varies, this is a directly proportional relationship.

Solution

We can do the following:

Ax + By + C= 0

Rewriting the line we got:

1x +1y +3=0

And the point is: (x= 2, y= 3)

and we can use the following formula:

Let:

n = Number of outcomes = 6

A = roll a number greater than 4 = 2

Therefore:

Answer:

33%

Answer:

Explanation:

Here, we want to fill the sequence, write the recursive and explicit formulae

From the sequence, we can see that each of the numbers are perfect squares

Depending on the term, the number is squared

Take for example, 1^2 is 1, 2^2 is 4

The correct way of filling is thus to raise the term number to 2

So, we have to fill for the 4th term, the 6th term, the 7th term and the 8th term

We have that as follows:

The sequence can then be written as:

Now, we want to write the explicit and recursive formula

The explicit formula is written in a way that it does not consider the term before the present term

We can easily write that as:

For the recursive formula, we write it as a mathematical function that takes into account the term before or after the current term

A point to note that there are odd number differences that increase by 3 as we move from term to term

We can see that:

Term 2 minus Term 1 is 3

Term 3 minus Term 2 is 5

Term 4 minus Term 3 is 7

Term 5 minuus Term 4 is 9

Thus, we have the recursive formula as:

Let's begin by listing out the information given to us:

|CD| = 9.5, |CE| = 13.75, |AC| = 13.75 + 5.5 = 19.25, |BC| = 9.5 + x

Using Triangle proportionality theorem, we have:

Answer:

$883.75

Explanation:

The cost of 1 square foot of topsoil = $1.25.

Thus, the cost of 707 square feet of topsoil:

The corresponding pairs of the two congruent triangles △AEC ≅ △BFD are:

So, the corresponding pairs of the given congruent triangles will be:

Then, we have:

Therefore, the corresponding pairs of the two congruent triangles △AEC ≅ △BFD are:

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Answer:

25 gallons

Explanation:

Let's call x the number of gallons that the container can hold.

The container starts half full, so it starts with (1/2)x gallons, then they pour out 5 gallons to let the container 3/10 full, so we need to subtract 5 gallons to get (3/10)x gallons. It means that we can write the following equation

Now, we can solve the expression for x, so

Therefore, the container can hold 25 gallons.

Consider the given equation,

Put x = a in the equation,

So the graph of the function passes through (a,0), which is a valid point.

So, option (I) is correct.

Similarly, when substituting the other values, it is obtained that the curve of the given function passes through points (b,0) and (c,0).

But this contradicts with the statements in (II) and (III) respectively.

Therefore, it can be concluded that only statement (I) is correct.

3x² + 6x - 5 = f(x)

+

4x³ - 5x² + 6 = g(x)

----------------------------

4x³ - 2x² + 6x + 1 = (f+g)(x)

Step 1:

What is the complement of set A' ? are elements or members of set A that are not in the universal set U.

Step 2

Set A = {g,y,m,n,a,s,t,i,c}

Universal set U = {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}

Step 3:

A' = {b, d, e, f, h, j, k, l, o, p, q, r, u, v, w, x, z}

Final answer

A' = {b, d, e, f, h, j, k, l, o, p, q, r, u, v, w, x, z}

Given:

Jill mixes two types of concentrations of HCI (hydrochloric acid):

a.) 0.375 liters of 25% hydrochloric acid and 0.625 liters of 65% hydrochloric acid.

To be able to find the final HCL concentration, we will be generating the following formula:

Where,

x = the final concentration of HCL

Let's find x,

Therefore, the final concentration of the mixed solution is 50%.

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

The measure of angle 3 is 121 degree.