In parallelogram ABCD, m∠B = 3x+ 45 and m∠D = 5x+ 23. Find m∠C

The commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Proof usually is generalized, ie, it applies for all possible cases of the given condition, or a large set of cases. But vertification is a check for single special case.

For this case, we've to verify that p × q = q × p when p =5/28 and q=49/35

For p =5/28 and q=49/35 we get:

[tex]p \times q = \dfrac{5}{28} \times \dfrac{49}{35} = \dfrac{5 \times 49}{28 \times 35}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]

Also, we get:

[tex]p \times q =\dfrac{49}{35} \times \dfrac{5}{28} = \dfrac{49 \times 5}{35 \times 28}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]

Thus, we get: p × q = 0.25 =  q × p

Hence, verified.

Thus, the commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Learn more about commutative property of multiplication here:

https://brainly.com/question/778086

#SPJ1

Answer:

3π

Step-by-step explanation:

The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.

The radius is given ad 6. So the circumference is:

2*π*6=12π

Now, since the angle of the arc is 90°, this is 1/4 of the circle.

This means that the arc length of this section will be 1/4th of the total circumference which is:

12π/4=3π

Answer:

B.

Step-by-step explanation:

The minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.

The line of best fit is a line that runs across a scatter plot of data points and best reflects the connection between them.

Let's make an assumption from the image below that;

We know that x = 0 at the y-intercept;

Thus, the minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.

Learn more about the line of best fit here:

https://brainly.com/question/21241382

Answer:

B

Step-by-step explanation:

2023

Answer:

25

Step-by-step explanation:

x^2 + 10x + 25   = (x+5)^2

Answer: √58

Step-by-step explanation:

[tex]\begin{aligned}&\left(x_{1}, y_{1}\right)=(-2,-3) \\&\left(x_{2}, y_{2}\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\sqrt{(4+3)^{2}+(1+2)^{2}} \\&d=\sqrt{7^{2}+3^{2}} \\&d=\sqrt{49+9} \\&\bold{d=\sqrt{58}}\end{aligned}[/tex]

Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58

Answer:

It seems that you are correct :)

Step-by-step explanation:

Answer:

x=47.2153

Step-by-step explanation:

basically its just what I've wrote , simple trigo

Answer:

a = 600

b = 1200

Step-by-step explanation:

a =,

600 = 100%

60 = 10%

with simple interest you add the original ten percent each time so,

600+60+60+60+60+60 etc....

or

you could do 600 x 1.1¹⁰

they both work the same

b = 600 + (ans of a)

Answer:

C

C'

1

1. see attached

2. the figure is reflected in the y-axis

Step-by-step explanation:

1.

The given transformation moves each point horizontally to the same

distance on the other side of the y-axis. This is shown in the attachment.

2.

The given rule ...

(x, y) → (-x, y)

is the most precise description of the transformation. In English, it can be

described as a reflection in the y-axis

Step-by-step explanation:

Correct me if I'm wrong

Answer:

L= 12.28cm

Step-by-step explanation:

L= 1/4 (2πr)

L= 90/360 * 2πr

L= 90/360 * 6.14* 8cm

L= 12.28cm

Hope it helps

Answer:

The answer is 0.3125.

Step-by-step explanation:

Step 1. Do 5/16
Step 2. Get an answer of 0.3125
I hope that this helps! :)

Answer:

 A=941.33 square inches.

Step-by-step explanation:

The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33

Answer: 20 L of 33% solution and 60 L of 5% solution should be mixed

Step-by-step explanation:

0.33x + 0.05(80-x) = 0.12*80

0.33x + 4-0.05x = 9.6

0.33x - 0.05x = 9.6-4

0.28x = 5.6

x = 5.6/0.28

x = 20 L of 33% solution should be used

80-20 = 60 L of 5% solution should be used

Proof:

0.33*20 + 0.05*60 = 0.12*80

6.6 + 3 = 9.6

9.6 = 9.6

Answer:

The cylinders volume is 113.04 cubic inches

Step-by-step explanation:

The volume of a cylinder can be represented by the formula : V = π*r^2*h

So, now that we have the formula, we can simply plug in the values, and we have the volume of the cylinder.

V = π * 2^2 * 9

V = π * 4 * 9

It says to use 3.14 as π.

V = 3.14 * 4 * 9

V = 113.04

The cylinders volume is 113.04 cubic inches

Answer:

The number (81.59) will round to 82.

Step-by-step explanation:

First, let us understand what the question means by "whole numbers".

Whole numbers are such integers that are positive. (Except 0, which is a non-positive and non-negative integer).

Whole numbers: 0, 1, 2, 3, 4, 5, 6....

If the number before the decimal is smaller than 50, then the number will round down. If the number before the decimal is greater than or equal to 50, then the number will round up.

We can see that 81.59 is between two integers (81 and 82). Therefore, 81.59 can either round down to 81 or round up to 82.

Since the number after the decimal (81.59) is greater than 50, the number rounds up to 82. Therefore, the number (81.59) will round to 82.

Learn more about whole numbers: https://brainly.com/question/17654101

hope it really helps.....!!!!

Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of getting 3 tails is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

0.25 = 25% probability of getting exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

y = x/2

Step-by-step explanation:

y = -x has a negative slope so cross this one out.

y = 2x has a steeper slope that would be above the black line so cross this one out

y = 0.001x has a slope that acends very slowly so cross this one out.

y = x/2 is the best match.

Some terminology:

 ⇒what is the slope

    ⇒ is the steepness of the line

        ⇒calculated by dividing the rise over the run

           ⇒ rise is the change in the y-direction

               ⇒ run is the change in the x-direction

                  ⇒look at the diagram I attached

 ⇒ how to find the slope in a linear equation

     ⇒look to the coefficient of the 'x' variable

        ⇒ that is the slope

      Ex. For the line y = x, the slope is 1

⇒A line with a positive slope rises from left to right while a line with a    negative slope falls from left to right.

   Ex. y=x has a positive slope and thus is rising

We want to find the equation that could represent the blue line

   ⇒ let's look into each equation and see whether they work or not

First case: [tex]y = -x[/tex]

  ⇒The equation given has the line falling, when the graph in the    

  equation is rising

       ⇒ not the answer

Second case: [tex]y=2x[/tex]

   ⇒ the equation given has the line that has a bigger slope than the

  the equation shown, which has a smaller slope than y = x

       ⇒ not the answer

Third case: [tex]y=\frac{1}{2}x[/tex]

    ⇒ the equation given fits the requirement of having a rising slope that

    is smaller than y = x

        ⇒ is a possible answer

Fourth case: [tex]y = 0.001x[/tex]

     ⇒ the equation given has a slope that is almost horizontal when the

     line shown in the graph doesn't

          ⇒ not the answer

Thus after examing all the choices:

   ⇒ Answer: [tex]y=\frac{1}{2}x[/tex]

Answer:

A=pir²

Step-by-step explanation:

pi=3.14

r=15

r²=15²=225

A=225× 3.14= 706.5

Answer:

9x^2 - 36x + 35.

Step-by-step explanation:

One would be (x - 5/3)(x - 7/3)   <------ in factor form.

Getting rid of the fractions by multiplying each term by 3:

= (3x - 5)(3x - 7)

Converting to standard form

= 3x*3x -7*3x - 5*3x + 35

= 9x^2 - 36x + 35.

Answer:

Answer and Explanation: The x-intercept of y = 3x - 7 is at x = 7/3, and the y-intercept of y = 3x - 7 is at y = -7.

Answer :- I think 0 is the answer.

Answer:

5.5) 5

6.0) 6

6.5) 7

7.0) 3

Step-by-step explanation:

Hope this helps and if it does PLS! give me brainiliest. PLS!

Answer:

The answer should be 2.

0 is the lowest number and then 2 would be lower quartile, The 4 would be the Median or the middle of all the data 7 is the upper quartile and 10 would be the highest number of absences.

Answer:

C, 60 degrees

Step-by-step explanation:

Right Triangle, with a 30 degree angle:
Given degrees:
90 (Right Triangle)
30

90+30 = 120
180-120 = 60

180 Degrees total in a triangle, you simply subtract the measure you have to fidn the third one.

Answer:

The measure of the third angle is 60°.

Step-by-step explanation:

We are given a right triangle that has a 90 degree and two other angles that are unknown.

Since one known angle is 90° and another angle given is 30° then the third angle must be 60°. All triangles must add up to 180°.

180° - 90° -  30° = 60°.

Here is an image of the demonstration/explaining types of triangles.

Answer:

Trinomial

Step-by-step explanation:

Because it has 3  terms.