Rhombus LMNO is shown with its diagonals.

Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.

Angle MLO measures 112°. What is the measure of angle MLP?
45°
56°
68°
90°

Answer:

1. The zeros are at x = 0 and x = –10

2. The zeros are at x = 3 and x = 4

Step-by-step explanation:

1. f(x) = x (x + 10)

Multiplying any number by 0 = 0,
so f(x) = 0 when...

• x = 0

or

• x + 10 = 0 (if you subtract 10 from both sides, you get x = –10)

2. f(x) = x (x - 3) – 4 (x - 3)

Use distributive property to expand

x² – 3x – 4x + 12

Combine like terms

x² – 7x + 12

Factor

(x – 3) (x – 4)

(You could have also just noticed in the original function that both x and –4 were multiplied by (x – 3) and factored then.)

So f(x) = 0 when...

• x – 3 = 0  (add 3 to both sides to get x = 3)

or

• x – 4 = 0 (add 4 to both sides to get x = 4)

I hope that helped!

W

a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.

the maximum height is 180ft.

The height of the equation is modeled by:

[tex]y = 60t - 5t^2[/tex]

Notice that this is a quadratic equation with a negative leading coefficient, which means that the maximum is at the vertex, then the maximum is at:

[tex]t = -60/(2*-5) = 6[/tex]

To get the maximum height, we need to evaluate the function in t = 6, we will get:

[tex]y = 60*6 - 5*6^2 = 180[/tex]

This means that the maximum height is 180ft.

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The criteria which CBR researchers might use to select and specify which units will be sampled as well as the sampling frame and methods to be used is the population.

This is defined as the total number of organisms found in a particular place at any given point in time and varies based on the number of variables present. In some cases, head counts are done to ascertain the exact value of individuals present.

The probability sampling method is ideal for a large population and involves random selection of the organisms so as to find out the statistical features of the group being used such as the range, mean etc. This tool is very important in the area of giving estimates for  ascertain type of activity or job.

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If you select 25 in the Top Values list, Access displays the top 25 records in the query results.

Queries are excellent tools in Microsoft Excel to show information from related tables in a single result set, as the results that you pull from queries aren’t limited to a single table.

The way to create a simple query using the wizard is as follows;

Now, If you select 25 in the top values list, access displays the top 25 records in the query results.

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The design of the experiment above will center around:

The aim of this study is to know  and compare student's level of satisfaction with school cafeteria food services so as to improve the quality of food served at school meal service.

Hence The design of the experiment above will center around:

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The area of the reduced rug is 25 square feet

The dimensions are given as:

Length = 12.5 feet

Width = 10 feet

The area is calculated as:
Area = Length * Width

So, we have:

Area = 12.5 * 10

Evaluate

Area = 125

When reduced by one-fifth, we have:

Area =1/5 * 125

Evaluate

Area = 25

Hence, the area of the reduced rug is 25 square feet

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Answer:

60%

Step-by-step explanation:

324/540 x100=60%

Np!

Based on the calculations, the ratio of AD to DB ​ is equal to 0.6.

A ratio is a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

From the graph, we have:

Length of AD = 1.5

Length of DB = 2.5

Ratio = AD/DB

Ratio = 1.5/2.5

Ratio = 0.6.

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The example on direct variation is illustrated below based on the information given.

An example will be:

When x = 2, y = 10. Find the value of y when x is 6.

In this case, this will be calculated thus:

y = kx

10 = 2k

k = 10/2

k = 5

Since y = kx.

y = 5 × 6

y = 30

The value of y is 30.

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Answer:

In total she got $555 so we have to divide that to see how much she got per hour.

Step-by-step explanation:

y/x=?

$555/15= $37

Now how much money multiplied by how many hours

$37 X 15 = $555

I hope this helps, if you need any more information just comment!

Have an Amazing Day!!!

Using the quadratic formula, the solutions are:

a) [tex]x = \frac{3 \pm \sqrt{41}}{4}[/tex]

b) [tex]x = 1 \pm 2i[/tex]

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

Item a:

The coefficients are a = 2, b = -3, c = -4, hence:

Item b:

The coefficients are a = 1, b = 2, c = 2, hence:

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The expression 3 - 7p² + 11(4 + n) to find an example of each kind of expression is;

3 - 7p² + 11(4 + n)

The expression has 3 parts

3 - 7p² + 11(4 + n)

= 3 - 7p² + 44 + 11n

= 47 + 7p² + 11n

Complete question:

Use the expression 3 — 7p2 + 11(4 + n ) to find an example of each kind of expression

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Answer:

[tex]0,35[/tex]

Step-by-step explanation:

In view of the fact that our events are independent of each other, we should multiply their probabilities: [tex]P(A \cap B) = P(A) * P(B) = 0,7 * 0,5 = 0,35[/tex].

Answer:

y = -3x + 4

Step-by-step explanation:

y = mx + c

y = gradient(x intercept) + y intercept

y = -3x + 4

Answer:

3x^2 - 7x =0

x(3x-7) = 0

3x - 7 = 0

3x =7

x= 7/3

Answer:

x < - 9

Step-by-step explanation:

- 4x > 36

divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.

x < - 9

[tex]\boldsymbol{\sf{-4x > 36 }}[/tex]

Divide both sides by −4. Since −4 is <0, the inequality direction is changed.

[tex]\boldsymbol{\sf{x < \dfrac{36}{-4} }}[/tex]

Divide 36 by −4 to get −9.

[tex]\boxed{\boldsymbol{\sf{x < -9}}}[/tex]

The expected outcome of spins based on the probability information is 60.

From the information, Joey decides to spin the wheel 60 times. Therefore, the expected outcome of spins is 60.

The thing that the booth owner can do to make the wheel more profitable for himself is to make winning probability less than that of losing.

Here, the booth owner do makes the wheel more profitable for himself as the winning is smaller.

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For the function g(x) we have:

The function g(x) is given by applying transformations to f(x), the transformations are:

The function is:

[tex]g(x) = -(x + 2)^2 + 5[/tex]

The graph is the one you can see below:

There you can see that the vertex is at (-2, 5), then the line of symmetry is:

x = -2.

And we have a maximum at the vertex, which is y = 5.

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According to the order of operations, brackets are solved first which contains the division operation. Hence, 12 is divided by -6 first.  

Order of Operations

Given expression is,

(12 ÷ (-6))(3) + (-2)

According to the BODMAS rule of operations, the precedence order of operations is as follows,

Brackets > Of > Division > Multiplication > Addition > Subtraction

Hence, we will start by solving the brackets first, then solve the division and then the addition.

Evaluation

Solving the given expression as per the order of operations,

Brackets are solved first, then division followed by multiplication and then addition. Division is always of the highest precedence among all operations after brackets and of.

12 ÷ (-6)(3) + (-2)

= 12 ÷ (-6)(3) - 2   [∵ +(-n) = -n]

= (-2)(3) -2

= -6 - 2

= -8

Thus, solving the +(-2) and then division of 12 by (-6) are the first operations to be performed in order to evaluate the given expression.

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Answer: True.

Step-by-step explanation:

The prefix "bi-" shows that there are two terms in a binomial expression. Therefore, this statement is True.

I hope this helps! :)

Answer:

A. True.

Step-by-step explanation:

A binomial has two terms.

Think of it this way. Any object's name that starts with 'bi' has two of something. For example, a bicycle, bicycles have 2 wheels.

Hope this helps!

A parallelogram is a type of quadrilateral that has opposite sides to be equal, and opposite angles to be equal.

Thus to complete the given proof in the question, the required statements and reasons are stated below:

             STATEMENT                                     REASONS

1. AB ≅ CD,                                                    Opposite sides of a

  BC ≅ AD                                                      parallelogram are equal

2. A, B, C, and D form a paralelogram         Given

3. Draw AC and BD                                       Drawing line segments

4. AB = CD,                                                    Equal line segments have

   BC = AD                                                     equal measures

5. ΔABC ≅ ΔCDA                                         SSS criterion for equal

   ΔABD ≅ ΔCDB                                         triangles

6. <BAD ≅ <DCB                                          Corresponding angles of equal

   <ABC ≅  <CDA                                         triangles are equal    

7. AC = AC, and BD = BD                             Reflective property of equality

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Answer:  0.6

Explanation:   You need to divide 3 by 5 and it will give you the answer of 0.6

The total amount of Chandra's investments after 8 years is $110.03

The formula for calculating the compound interest is expressed as;

A = P(1+r/n)^nt

where

P is the amount invested = $75

r is the rate. = 0.048

t is the time =8years

n = 12 (monthly)

Substitute

A = 75(1+0.048/12)^96
A = 75(1.467)
A = 110.03

Hence the total amount of Chandra's investments after 8 years is $110.03

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[tex]P(R \: then \: Y) = \frac{3}{10} \times \frac{1}{10} = \frac{3}{100} [/tex]

[tex]note \: that = \\ order \: matters \: (no \: factorial) \\ replacement \: (equal \: sample \: space)[/tex]

Answer:

c. 3/100

Step-by-step explanation:

there are 10 marbles

First draw (there are 3 red marbles)

[tex]P=\frac{3}{10}[/tex]

Second draw (there is one yellow marble)

[tex]P=\frac{1}{10}[/tex]

probability of the event:

[tex]P=(\frac{3}{10} )(\frac{1}{10} )=\frac{3}{100}[/tex]

Hope this helps

Answer:

35%

Step-by-step explanation:

She is saving $0.70/$2.00 weekly.

To convert this into a percentage we covert it to decimal then multiply by 100 :

$0.70/$2.00 = 0.35

0.35 × 100 = 35%

Our final answer is 35%.

Hope this helped and have a good day

Answer:

4

Step-by-step explanation:

Slope=rise/run

there is a increase of 4 in y for every increase of 1 in x

The value of A has been illustrated, computed and proven based in the triangle given.

It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.

Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.

In this case, the following can be deduced:

A = 5x

B = 90°

C = x + 10°

Therefore, A + B + C = 180° (sum of angles in a triangle)

5x + 90 + x + 10 = 180°

6x = 180° - 90° - 10°

6x = 80°

x = 80/6

x = 13 1/3

Therefore, the value of A will be:

= 5x

= 5 × 13 1/3

= 66 2/3

Therefore, A is 66 2/3.

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