how do I find the measure of the side of a right triangle whose length is designated by the lower case c

This is the intersecting chord theorem:

WL * PL = KL * ZL

x * 5 = 2 * (3x-2)

5x= 6x-4 .....(put like terms together)

6x-5x = 4

x=4

length KZ = KL +LZ = 2 +(3x-2)

KZ=2+ (3(4) -2)

KZ = 2+ (12-2)

KZ = 2 +10 =12

So option 4 is the correct choice.

the interval notation is

x intercept is x-cutting point. Found by setting y equal to 0.

y intercept is y-cutting point. Found by setting x equal to 0.

X-intercept: (y = 0)

Y-intercept (x=0):

Let us call x the score on Lena's next test, then we have

The above says that the average of six tests should be 77 and we just need to solve for x.

Simplifying the equation above gives

multiplying both sides by 6 gives

Finally, subtracting 367 from both sides gives

Hence, Lena needs to score 95 in order that her average be 77.

Find the value of x;

Answer: $3.5

Step-by-step explanation:

3x+2y=13

4x+y=15.25

System of equations

I solved using elimination but there are other methods

3x+2y=13

-8x-2y=-30.5

The y cancels out

3x=13

-8x=-30.5

=

-5x= -17.5

Solve

x=3.5

ANSWER: $3.5

Given expression ;

First ignore the decimal place:

let 13.5 to 135

and 12.1 to 121

now multiply 135 by 121

Rewrite the product with 2 total decimal places.

thus, 16335 becomes 163.35

Answer: 163.35

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating the area of a right triangle

STEP 2: Find the area of the bigger triangle

STEP 3: Find the area of the smaller triangle

STEP 3: Find the difference in the areas

Hence, the difference is 4.5cm²

Explanation:

9 subtracte from the product of 6 and x => 6x - 9

is at most -19 => the maximum the result can be is -19 => < or =

Given the information on the problem, we can write the following expression to represent the cost of hirigin Carpenter 4 U:

where 'y' is the total cost and 'x' is the number of hours.

next, we know that the slope-intercept equation of the line is:

then, in this case, the slope is m = 45 and the y-intercept is b = 50

Finally, if we decided to hire Carpenter 4U for 20 hours, then we have to make x = 20 and solve for y:

therefore, it will cost $950 for 20 hours of work

Perimeter of the Parallelogram = a + b + a + b

a = 24 cm

b= 14 cm

Perimeter of the parallelogram = 24 + 14 + 24 + 14

= 76 cm

Here, we want to factorize the given trinomial using the box method

We follow the processes as highlighted below;

a) We multiply the leading coefficient and the term without a variable, i.e the constant term number

That will be 2 * (-12) = -24

b) Now, we find two numbers whose product will be equal to -24 and the sum will be the middle term which is +5

In this case, the numbers are -3 and 8

c) Now, we are going to place the following in the grids;

d) The next thing to do is to find the greatest common factor on each row and each columm and place these outside the box

We have this as follows;

e) The factors are the outside terms on the box and we have this as;

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

To perform the expansion, each point must be multiplied by the expansion factor or ratio

1) Dilation of 0.25

Graphically you can see the dilation:

3) Dilation of 2

Graphically you can see the dilation

110º, because the arrow on the left is pointing to 110º. You have to see the angle that is shown the closest to the arrow, because the angle started on the right, on the 0º, so we use the first line.

If the arrow were to stat on the left, then we have to use the outermost value

Solving an inequality

For inequalities separate variables and numerical terms

So then variables goes to left, and terms to right

2x + 5 ≥ -1

2x ≥ -1 -5

2x ≥ -6

and then

x≥ -6/2= -3

Is a plane formed by all numbers equal or bigger than -3

Given:

Points B and C lie on the line segment AD, with AB

Required:

We need to find the value of BC.

Explanation:

Point B lies between A and C since AB < AC.

Substitute AD=76, CD=24, and AB=BC in the equation.

Subtract 24 from both sides of the equation.

Divide both sides by 2.

Final answer:

Let's satrt by copying the equation:

Firslty, let's leave the equation with all the terms with v on one side and all the term without v on the other.

The right side has all the terms with v, but there is one without v that we need to pass to the other side., we can do that by substracting both sides by 27:

Now, we evaluate the like-terms on each side:

Now, we can invert the sign so that the variable v go to the left side, as usual:

To finish the solve. we can divide both sides by 9:

STEP - BY - STEP EXPLANATION

What to find?

The number of faces a polyhedron with 5 vertices and 8 edges have.

Given:

Vertices (V) = 5

Edges (E)=8

Step 1

Substitute the values into the formula above.

Step 2

Add 3 to both-side of the equation.

ANSWER

5

EXPLANATION

The average speed is obtained by dividing the miles that Jeremy did and the elapsed time.

Average Speed= 60miles / 4hours = 15 mph

The average speed was 15 mph

We are given the following information

Deposited amount = $3,500

Final amount = $3,692.50

Number of years = 6/12 = 0.5

We are asked to find out what interest did the account pay?

Recall that the simple interest formula is given by

Let us substitute all the known values and solve for interest rate (r)

Therefore, the interest rate is 11% per year.

We have to calculate 6.25 times 5:

Answer: $6.25

Step 1; Draw the diagram

Then the adjacent side of the kite are congruent side,

Hence part A is True

The diagonal of a Rhombus bisect each other at a right angle. hence the quadrilateral has its diagonals to be perpendicular to each other.

Hence Part B is True

Sasha, this is the solution:

3.3125 to percent

Let's recall that for converting a decimal number to percent, we should multiply by 100, this way:

3.3125 * 100 = 331.25%

If the tiles have the same value then to make 0 you need:

3 negative tiles and 3 positive tiles.

Explanation:

If one tile has the value of 1 and you pot:

- 1 -1 - 1 + 1+ 1 + 1

it will be zero.

Answer:

Explanation: Given the folllowing equation, we need its positive solution or root:

Solution by Quadratic formula:

Where x can be positive and negative, but we are interested in the positive solution.

Constants A B C in (1) are as follows:

Plugging these values in (1) gives us:

Firther simplification gives:

Solution

Solve the equation

Step 1: Subtract 12 from both side

Step 2: Divide both side by 9

Hence the solution for m = 1/3

Therefore the correct answer is Option B

The function representing the percent of group H in the population is given to be:

The number of years after 1990 when the population percentage of group H will be 15.6% can be calculated as follows:

Therefore, the year will be:

What this means is that from 2010 and beyond, the population percentage will be 15.6% or more.

Hence, the population percentage will be at least 15.6% in the year 2010 and after.

To answer this question, we need to know that the asked statistics, namely, the standard deviation and the variance, in this question are for a sample, and the formula for this is given as follows:

1. Sample Variance

2. The standard deviation is the square root of the sample variance.

We have that:

• n = number of observations in the sample

• x (bar) is the mean of the data

• x_i are the values in the data

Now, we have that the data is: 7, 9, 14, 16, 18, 22, 23 (there are seven observations, n = 7).

3. The range of the values is the result of the subtraction, the difference, between the largest observation and the smallest observation in the data. Then, we have that the range is:

Now, we can proceed to find the sample variance:

We need to find the mean of the data as follows:

Now, we need to find the following sum:

When calculating these statistics is good to round the value of the final result.

However, we were told to "round non-integer results to the nearest tenth". We will use the value of x (bar) (mean) as:

If we round this value to the nearest tenth, we will have a different result, but it is easier to work with:

If we use mean = 109/7, the sum is:

Then, the value is 221.714285714.

Now the value for the sample variance is:

If we round the sample variance to the nearest tenth, we have that the value for the sample variance is 37.

We know that the sample standard deviation is the square root of the sample variance. Then, we need to find the square root as follows:

If we round the result to the nearest tenth, we have that the standard deviation is equal to 6.1.

In summary, we have that the range, the standard deviation, and the variance for given sample 7, 9, 14, 16, 18, 22, 23 are (rounded to the nearest tenth):

• Range = 16

• Standard deviation = 6.1

• Variance = 37

Statement Problem: Find the missing variables in the figure;

Solution:

Recall the trigonometry ratios;

In this case, the adjacent sides of the angle is given.

The hypotenuse side is y. Thus, we would apply the cosine, we have;

Also, we would apply the pythagoras theorem to find the opposite side given as x.

The pythagoras theorem is;

Thus, the opposite side, x is;