I need help with this question... it's about special triangles and I need to find y and z.. it should also not be a decimal.

Since we know the future alue of the account, using the formula for the compounded interest with n = 365 (since the account is compounded daily), t=10, r = 4% and A=50000 in the following equation:

using these values and solving for P, we get:

therefore, the original amount deposited 10 years ago is $33,516.74

Given:

K is the mid-point of FG and L is the mid-point FH.

To find:

The measure of Angle H

Step-by-step solution:

As we are given that K and L are the midpoints of FG and FH respectively.

According to the mid-point theoram,

The segment that connects the mid-point of two sides, is parallel to the third side of that triangle.

Thus,

KL||GH and ∠KLF = ∠GHL

As both of these angles are corresponding angles.

So we can say that m∠H = 85 degrees.

The expression for the sum of Lisa and her sister's age is (x - 4) + x  which is the third option that is none of these form the given options.

It is given in the question that Lisa is four years younger than her sister.

Let Lisa's sister's age be x years.

Hence, according to the data given on the question, we can write,

Lisa age = (x - 4) years

Hence, the expression for the sum of the ages of Lisa and her sister will be = (x - 4) + x years.

It is not given in any of the options, hence the answer is none of these.

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We have to add all the annual expenses:

However, this quantity we obtained are the annual expenses, then, we have to divide them by the months of the academic year:

Answer: $2,666.22

Rachel is correct because Rachel ran farther than Beth .

In the question ,

it is given that ,

Rachel ran 115 yards and Beth ran 327 yards ,

For comparing both the distance , we need to convert both the distance in the same unit ,

So , we convert yards to feet ,

we know that,

1 yard = 3 foot  ,

So, 115 yard = 3*115 = 345 feet ,

Rachel ran 345 feet and Beth ran 327 feet .

hence , we can conclude that Rachel ran 345 feet which is greater than Beth , who ran only 327 feet .

Therefore , Rachel is correct because Rachel ran farther than Beth .

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Looking at the graph, the minimum value is 40 and the maximum value is 150, therefore the range is between 150 and 40.

Also, we have a total of 27 points on the graph, which means the median is the 14th value of the data set in crescent order.

Counting the points from the left to the right, the 14th point has a value of 100, therefore the median is equal to 100.

So the correct option is

The event Red 1 is an example of these following events:

Red cards are represented by the letter R, while the number 1, which is odd, is represented by the letter O.

Both events R and O happen in the, hence the event R and O is one of the possible events to this problem, as the card is both red and has an odd number.

The number is not even, hence the event E' is another one of the events in this problem.

The final event is E or R, as the card has a red number, meaning that at least one of the options E or R are satisfied.

The options which the event respect are missing, and are given by the image at the end of the answer.

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The angle of rotation if an image is the result of a composition of two reflections across perpendicular lines is 180 degrees

Rotation and reflection are forms of transformation as seen in mathematics. The two are related in some forms.

When a reflection is done on a plane perpendicular to the preimage the image is reflected at the perpendicular plane. This is equal to rotation of an angle 90 degrees.

When the reflection is continued again across the perpendicular line, another reflection is noticed and similar rotation however in this case with respect to the initial image, the rotation is now 180 degrees.

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1) Solving for x, the following equation:

We're going to isolate the x variable on the left:

Let's call the event of the red die to show a six as event A, and the event of the green die to show a six as event B.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. On both dices, we have 6 possible outcomes(the numbers from 1 to 6), with one favourable outcome(the number 6), therefore, the probabilities of those events are:

Each roll is independent from each other, then, the probability of both events happening simultaneously is given by their product:

Using the additive rule of probability, we have the following equation for our problem:

the probability that the red die shows a six or the green die shows a six is 11/36.

Answer:

12 different combinations are possible (I think)

Step-by-step explanation:

Let's try to understand,

1. Blueberries + Plain Yogurt

2. Strawberries + Plain Yogurt

3. Peaches+ Plain Yogurt

4. Raspberries + Plain Yogurt

5. Blueberries + Vanilla Yogurt

6. Strawberries +VanillaYogurt

7. Peaches+ VanillaYogurt

8. Raspberries + VanillaYogurt

9. Blueberries + Lemon Yogurt

10. Strawberries + Lemon Yogurt

11. Peaches+ Lemon Yogurt

12. Raspberries + LemonYogurt

I hope this is the right answer and if not please forgive.

For the given question, we will use the formula from part (b) to answer part (d)

The given function is as follows:

We will find the number of species (S) When A = 813

so, substitute with A = 813, then find S

Rounding the answer to the nearest 10 species

So, the answer will be:

Answer:

3

Step-by-step explanation:

So, your starting at zero then up eight, and down halfway so four, then back up twelve so its at sixteen, then down thirteen so your answer is three.

Answer:

Step-by-step explanation:

This situation can be approached using the formula for combinations:

Therefore, solve for n=15 and r=4.

Answer:

The ans C hope it helps u

have a good day

As per the given percentage,

a) Commission base in the sales base is $1400

b) Commission on additional sales is $2695

c) Gross pay is $4095.

Percentage:

Percentage is a number or ratio that can be expressed as a fraction of 100.

If we want to calculate percent of a number, divide the number by the whole and multiply by 100.

It can be represented using the symbol (%).

Given,

Bartlett Electronics pays all sales representatives 4% commission on the first $35,000 of their individual sales and 7% commission on their individual sales in excess of $35,000.

John Morgan sold merchandise valued at $73,500 during the month of November.

Here we need to find the following:

a) Commission on sales in the sales base

b) Commission on additional sales

c) Gross pay

a) Commission on sales in the sales base

So, based on the percentage the commission is,

=> 35,000 x 4/100

=> 35,000 x 0.04

=> 1400

b) Commission on additional sales

For this one, first we have to calculate the additional sales amount,

That can be calculated as,

=> 73,500 - 35,000

=> 38,500

Now, the commission is,

=> 38,500 x 7/100

=> 38,500 x 0.07

=> 2695.

c) Now the gross pay for John is,

=> 1400 + 2695

=> 4095

Therefore, the gross pay is $4095.

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Given:

There are given the equation:

Explanation:

(A):

To find the y-intercept, we need to put 0 for x and solve the equation for the value of y.

So,

From the function:

Hence, the y-intercept is shown below:

(B):

To find the x-intercept, we need to put 0 for y and find the values for x:

So,

Hence, the value x-intercept is shown below:

(C):

The interpret the meaning of the x- and the y-intercept is shown below:

In the given context, the y-intercept, and x-intercept, mean x = 0 and y = 0 and also refers to the starting values.

For a time-based exercise, this will be the value when we started talking we read or when we started tracking the time and its related changes.

lets remember how to find the equation of a parallel line

two lines are parallel if they don"t intersect, that means they slopes are the same

y=-2x+3

slope as we see is m=-2

the other line has to pass through point (5,4)

y-y1=m(x-x1)

y-4=-2(x-5)

we solve the equation

y= 4-2x+10

y= -2x+14

i will send you a picture

green line is y=-2x+14

For the zeros of the function, we have to solve h(r)=0, therefore:

then, the smaller r is -8 and the larger is -1.

Now, to find the vertex of the parabola, we can find the x-coordinate of the vertex from the general rule:

In this case, we have the following:

now that we have the x-coordinate of the vertex, we just evaluate the function on that point to find the y-coordinate of the vertex:

therefore, the vertex of the parabola is the point (-9/2,-49/4)

The rate of change is 3.

The initial value is 6.

Step - by - Step Explanation

What to find?

• Rate of change.

• Initial value.

Given:

y = 3x + 6

The rate of change is also the same as the slope.

To find the slope of the gien equation, compare the equation with y=mx + b.

Where m is the slope (rate of change).

Comparing the two equations, m = 3

Hence, the rate of change is 3.

The initial value also known as the y-intercept, is the value of y at x=0.

y = 3(0) + 6

y = 6

Hence, the initial value is 6.

Given:

5 - 12

To find the difference , all we have to do is to perform the subtraction. The result of subtraction is called the difference.

Subtract 12 from 5.

Thus, we have:

5 - 12 = -7

Therefore, the difference between 5 and 12 is -7

Solution

Solution

For this case we can select the following two points:

(0,0) and (4,6)

We can find the slope using this formula:

then the answer after simplify would be:

3/2

In order to calculate the length of the rectangular field, you use the following formula for the calculation of the perimeter:

P = 2l + 2w

w: width = 85 m

l: length = ?

P: area = 360m

You know the value of P and w, so, you can solve for l in the formula for the perimeter of the field, just as follow:

P = 2l + 2w

2l = P - 2w

l = (P - 2w)/2

Next, you replace the values of P and w:

l = (360m - 2(85m))/2 = 95 m

Hence, the length of the rectangular field is 95m

Answer:

Area = 18

Explanation:

The area of a triangle is given by

Area = 1/2 height * base length

Now in our case

height = 12 in, base length = 3 in; therefore, the area is

Area = 1/2 * 12 * 3

Area = 6 * 3

Area = 18

Which is our answer!

To solve the exercise, you can first know how many boxes of cheese result with the amount of 350 pounds of cheese.

For this, you can use the rule of three, like this

So, you have

we have the system

y=–4/3x–5 ------> equation A

x=–3 ------> equation B

Using a graphing tool

see the attached figure

the solution of the system of equations is the intersection point both lines

Step-by-step explanation:

it is an equilateral triangle : all 3 sides are if equal length (indicated by the same symbol on each side).

automatically with that comes the conclusion that all 3 angles have the same size.

and since the sum of all angles in a triangle is always 180°, this means every angle is 180/3 = 60°.

therefore,

2x - 4 = 60

2x = 64

x = 32

and FYI

5y = 60

y = 12

The solution of the composite function is as follows:

Composite functions are when the output of one function is used as the input of another.

In other words, a composite function is generally a function that is written inside another function.

Therefore,  the composite function can be solved as follows:

Therefore,

f(x) = x - 8

g(x) = 8x + 9

Hence,

(f + g)(x) = f(x) + g(x)  = x - 8 + 8x + 9 = 9x + 1

(f - g)(x) = f(x) - g(x)  = x - 8 - ( 8x + 9 ) = x - 8 - 8x - 9 = -7x - 17

(f. g)(x) = f(x) . g(x) = (x - 8)(8x + 9) = 8x² + 9x - 64x - 72 = 8x² - 55x - 72

(f / g)(x) = f(x) / g(x) = x - 8 / 8x + 9

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