In rhombus ABCD, m∠XCB = 6a − 2 and m∠XBC = 4a + 12. What is the measure of ∠XCB?

In Rhombus ABCD, MXCB = 6a 2 And MXBC = 4a + 12. What Is The Measure Of XCB?

Answers

Answer 1

Answer: Angle XCB = 46 degrees ( ∠XCB = 46°)

Step-by-step explanation: Please refer to the picture attached for details.

A rhombus basically is a parallelogram with a diamond shape. All four sides have equal length, opposite sides are parallel and opposite angles are equal.

The sides have been labelled ABCD as stated in the question, and the point X is extended to point B to form angle XBC and also extended to point C to form angle XCB. Upon careful observation we shall notice that a triangle has been formed with sides BXC and angle X is a right angle, which measures 90 degrees.

The sum of angles in a triangle equals 180, therefore,

Angle XBC + Angle XCB + Angle X = 180

Substituting for the given values we now have the following;

4a + 12 + 6a - 2 + 90 = 180

10a + 10 + 90 = 180

10a + 100 = 180

Subtract 100 from both sides of the equation

10a = 80

Divide both sides of the equation 10

a = 8

If XCB = 6a - 2,

Substitute for the value of a

XCB = 6(8) - 2

XCB = 48 - 2

XCB = 46

Therefore angle XCB measures 46 degrees.

In Rhombus ABCD, MXCB = 6a 2 And MXBC = 4a + 12. What Is The Measure Of XCB?

Related Questions

Which expression is equivalent to the following expression? 2(x + 7)

a. 2x + 7

b. 2x + 9

c. 2x + 14

d. x + 14

Answers

Answer:

C

Step-by-step explanation:

Use distributive property. distribute the 2 into both numbers by multiplying them both by 2 and you get 2x + 14

Answer:

I believe the answer is (C) 2x+14.

You have to distribute the 2 and multiply it to the x and the 14.

Step-by-step explanation:

Multiply the x by the 2 to get 2x

multiply the 7 by the 2 to get 14

so the equation is: 2x + 14

I hope this is correct.

solve this equation 8-x2= -17

Answers

Answer:

x=25/2

Step-by-step explanation:

8-2x-8=-17-8

-2x=-25

-2x/2= -25/2

Answer:

x=5 or x=−5

they both work

Answer for brainliest !!!!! ASAP NOW REALLY EASY

Answers

Answer: I believe the answer is 14.04

Step-by-step explanation:

When you divide 3.24 into 3 it gives you 1.08 then multiply it by 13 to get 14.04

Answer:

14.04

Step-by-step explanation:

You have 3 apples. Those 3 apples cost 3.24. He also wants to buy 13 MORE. You find the answer for doing a diagram like this:

A- 3 A- 13

$- 3.24 $- ?

Step 1. Do the diagram and fill it out.

Step 2. Multiply 13 and 3.24

(You get 42.12)

Step 3. Divide the answer (42.12) by 3

(You get 14.04)

And thats how you get the answer.

using the line of best fit as a guide, predict the number of weeks of practice it would take for someone to type 80 words per minute.

Answers

Answer:

8 weeks

Step-by-step explanation:

Heeeeeeeeeeeeellllllllllllp

Answers

Answer:30

Step-by-step explanation:add all the sides

A triangle has side lengths of 14 cm and 6 cm. Which could be the value of the third side, 27cm or 17cm

Answers

Answer:

17

Step-by-step explanation:

i think it was like the hypotenuse should be shorter than the other two sides sum.

The student council spent $187.55 for their dance. Advance tickets brought in $202.75, and door sales totaled $116. About how much profit did the student council realize?

Answers

They profited $131.20
Total spent: $187.55

Total earned: $318.55

We get the total earned by adding $202.75 from the advanced ticket profit and $116 from the sales total profit.

$202.55+$116=$318.75

From there we take the total earned, $318.75 and subtract it from what they initially spent, $187.55

$318.75-$187.55=$131.02

The total profit they made that day marks up to $131.02

Huilan is years younger than Thomas. The sum of their ages is 81. What is Thomas's age?

Answers

Answer:

Step-by-step explanation:

Let x = the age of Thomas

Let x + 6 = the age of Huilan

x + x + 6 = 70

2x + 6 = 70

2x = 64

x = 32 years

x+6 = 38 years

Find the total volume of the following composite figure with

h=4.3

and

r=3.9

Use 3.14 for LaTeX: \piπ.

Round to the nearest hundredth.

Answers

Given:

A composite figure consisting of a cylinder with radius r and height h and a half-sphere with a radius r.

To find:

The total volume of the composite figure.

Solution:

To determine the total volume of the figure, we add the volume of the cylinder and the volume of the half-sphere.

The volume of a cylinder, [tex]V= \pi r^{2} h.[/tex]

The given cylinder has a radius of 3.9 units and a height of 4.3 units. Assume π equals 3.14.

The volume of the cylinder, [tex]V = (3.14)(3.9^{2} )(4.3)= 205.36542[/tex] cubic units.

The volume of a half-sphere, [tex]V= \frac{2}{3} \pi r^{3} .[/tex]

The given half-sphere has a radius of 3.9 units, assume π equals 3.14.

The volume of the half-sphere, [tex]V= \frac{2}{3} (3.14)(3.9^{3} ) = 124.17444[/tex] cubic units.

The total volume of the composite figure [tex]= 205.36542+124.17444=329.53986[/tex] cubic units.

Rounding this off to the nearest hundredth, we get the volume of the cone as 329.54 cubic units.

Emma baker 14 cookies she sold 2/7 of the cookies how many cookies did Emma sell?

PLEASE HELP!!!!!!!

Answers

Answer:

The answer is 4 cookies

which table represents a function? Help plz

Answers

Answer:

Top left box

Step-by-step explanation:

In a function the values cannot repeat

Is x greater than,less than, or equal to 43

Answers

Answer: Equal

Step-by-step explanation: Brainiest answer pls

Answer:

ever so slightly greater than

x > 43

Step-by-step explanation:

hope this helped! :D

brainliest?

What value is 1/3 (4a + 1) = 1/2a

Answers

Answer:

 a = -2/5 = -0.400

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
x² - 4x - 12

Answers

Step-by-step explanation:

x2 - 4x - 12

Finding factors of 12 then

x2 - 6x + 2x - 12

x( x - 6) + 2 (x - 6)

So the factors are (x+2) (x-6)

Answer: x- 6

Step-by-step explanation: i did it

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. Which compares the modes of the data? The mode for the students is 2 and the mode for the teachers is 4. The mode for the students is 0 and the mode for the teachers is 1. The mode for the students is 4 and the mode for the teachers is 8. The mode for the students is 2 and the mode for the teachers is 1.

Answers

The correct option is The mode for the students is 2 and the mode for the teachers is 4.

To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.

 For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.

 Comparing the modes of the two data sets, we have:

- Mode for students: 2

- Mode for teachers: 4

The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.

A streaming video company charges $27.50 to set up an account and $12 per month to
enjoy the service. If Landon paid a total price of less than $243.50 for streaming video, how
many months (m) did he use the company's service?

Answers

Answer:

18 months

Step-by-step explanation:

27.50+12x=243.50 let x represent amount of months

subtract 27.50 from both sides

12x=216 divide

18 months

The solution is 18 months

The number of months Landon used the streaming service is given by the equation x = 18 months

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of months be x

A streaming video company charges $27.50 to set up an account and $12 per month to enjoy the service

Let the total cost be represented as y

Landon paid a total price of less than $243.50 ,

So , the value of y = $ 243.50

The inequality equation is 12x + 27.50 < 243.50

12x + 27.50 < 243.50   be equation (1)

On simplifying the equation , we get

Subtracting 27.50 on both sides of the equation , we get

12x < 216

Divide by 12 on both sides of the equation , we get

x < 18

So , the value of x = 18 months

Hence , the number of months is 18 months

To learn more about inequality equations click :

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Find the value of x in the figure.



image

A.
10

C.
16

B.
12

D.
14

Answers

Answer:

X = 12

Step-by-step explanation:

42 + 48 = 90 degree angle

4 x 12 = 48

Is is a 10 that is the correct answer

2x^2-6x-20=0 value of a

Answers

Answer:

a = 2

Step-by-step explanation:

The equation 2x² - 6x - 20 = 0 is in standard form for a quadratic formula.

The general equation for standard form is: y = ax² + bx + c

Sometimes we make "y" => 0 when we are finding the roots (x-intercepts).

Notice "a" is attached to x² in the standard form.

In your question, the number attached to x² is 2.

a = 2

Find the common difference: -18, -23, -28, -33, ..

Answers

Answer:

5

Step-by-step explanation:

Between each number there is a change of 5 in the negative direction

Answer:

5

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

3 PM

Step-by-step explanation:

1.30 + .30 + 1  =

3

Answer:

3:00 pm

Step-by-step explanation:

Time spent video games 30 minutes

Time spent homework 1 hour

Total time 1 hour 30 minutes

Starting at 1 :30

Add 1 hour 30 minutes

1:30

+1:30

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

2:60

But 60 minutes is 1 hour  so change the 60 minutes to 0 and add 1 hour

3:00

We started at pm we did not pass over 12 so we are still at pm

3:00 pm

what are dependent events

Answers

Answer:

dependent events are if the outcome of one event affects the outcome of another

Please help fast will mark 5 stars

Answers

Answer:

1 solution

Step-by-step explanation:

The lines intersect 1 time

Answer:

1 solution

Step-by-step explanation:

The intersection is the one solution.

Problem

A knitting pattern for a shawl calls for 8

stitches in the first row. Each row after that

has 2 more stitches than the previous row.

The explicit rule ax = 8 + (k − 1)2 gives the

number of stitches in the nth row row.

Answers

Answer:

The n row has [tex]2n+6[/tex] stitches.

Step-by-step explanation:

The given expression is

[tex]a_{k}=8+(k-1)2[/tex]

Where [tex]d=2[/tex] and [tex]a_{1}=8[/tex].

The number of stitches in the n row are expressed as

[tex]a_{n} =8+2n-2\\a_{n} =2n+6[/tex]

Therefore, the n row has [tex]2n+6[/tex] stitches.

Notice that the result is an expression, that is beacuse the problem is asking for a general solution, it's asking for the n row, which refers to certain row in general terms.

Answer:

1st question: C

2nd : 8

3rd : 46

4th : 540

An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample.
Group of answer choices
The population is 570. The sample is 138.
The population is 570. The sample is 300.
The population is 300. The sample is 138.
The population is 138. The sample is 570.
The population is 138. The sample is 300.

Answers

Final answer:

The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.

Explanation:

In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.

The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.

Therefore, the correct identification is: The population is 570. The sample is 300.

I need help like now

Answers

are you trying to find x?

Which value of b would make x²+bx-30 factorable?
A. -31
B. -17
C. 11
D. 13

Answers

Answer:

D. 13

Step-by-step explanation:

well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-

x= -b±[tex]\sqrt{b^{2}-4ac}[/tex] /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since [tex]\sqrt{13^{2}-4*1*(-30)[/tex] = [tex]\sqrt{289}[/tex] = 17. So b=13.

I think the answer is. D 14

HELP!!!! which system of inequalities are shown?

Answers

I believe the answer is b

Step-by-step explanation:

i think the second one maybe

Solve for u:
-10.74=u-(−11)

Answers

Answer:

u= 0.26

Step-by-step explanation:

Answer:

-21.74

Step-by-step explanation:

Solve for u by simplifying both sides of the equation, then isolating the variable.

Which prism has a volume of 5 cubic units?
1 and one-half units by 3 units by 1 unit
2 units by 2 units by 1 and one-half-units
1 and one-fourth units by 4 units by 1 unit
2 units by 1 unit by 2 units

Answers

Answer:

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so  1 and one fourth units by 4 units by 1  unit

The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

What is Prism?

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here,

Volume of prism = l × w × h

Option 1

Volume = [tex](1\frac{1}{2})(3)(1) =\frac{9}{2}[/tex] cubic units

Option 2

Volume = [tex](2)(2)(1\frac{1}{2})=6[/tex] cubic units

Option 3

Volume = [tex](1\frac{1}{4})(4)(1)=5[/tex] cubic units

Option 4

Volume = [tex](2)(1)(2)=4[/tex] cubic units

Hence, The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit

Learn more about Volume and Prism here

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What kind of angle is EOD and what is it’s measure?

Answers

Answer:

Answer:

Part 1) m∠EOD=20°

Part 2) m∠AOD=80°

Step-by-step explanation:

Part 1) Find the measure of angle EOD

we know that  °

m∠EOD=m∠EOX-m∠DOX

we have

Observing the figure

m∠EOX=140°

m∠DOX=120°

substitute

m∠EOD=140°-120°=20°

Part 2) Find the measure of angle AOD

we know that  °

m∠AOD=m∠DOX-m∠AOX

we have

Observing the figure

m∠AOX=40°

m∠DOX=120°

substitute

m∠AOD=120°-40°=80°

Step-by-step explanation:

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