ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD

Answers

Answer 1

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

Answer 2

The required measure of m ABD is 23.

What are linear pair of angle?

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Now it is given that,

m ABD = 6x - 12 and m CBD = x + 31

Since, ABD and CBD form a linear pair

m ABD + m CBD = 180°

6x - 12 + x + 31 = 180°

7x + 19 = 180°

⇒ 7x = 180° - 19

⇒ 7x = 161

⇒ x = 161/7

⇒ x = 23

Thus, the required measure of m ABD is 23.

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Related Questions

If f(x) = 2x + 1, what is f(x) when x = 3?
a)1
b)7
c)13
d)19

Answers

Answer:

7

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

2nd try again please help

Answers

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?

Answers

Answer:

Step-by-step explanation:

For club 1 - 2 book

For club 2 - 4 books

Club 1 has a $40 fee + 2 books = $60 in total

Club 2 has a $0 fee + 4 book = $60 in total

I'm pretty sure I'm right

Answer:

There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.

Step-by-step explanation:

1st club.  (cost of club) 40$ + (cost of 2 books) 20$ = 60$.

2nd club. (cost of books) 15$ x  (how many books) 4 = 60$

Which ordered pair is a solution of the equation? Y = 7x - 3​

Answers

Answer:

y-intercept:  ( 0 , − 3 )

x-intercept:  ( 3 7 , 0 )

Step-by-step explanation:

proteins are important to the body because they

Answers

Answer:

Proteins are important because it improves your immune system.

Step-by-step explanation:

It's a short answer, but I hope it helps loll.

Evaluate the expression when x = -6

Answers

Answer:

−39

Step-by-step explanation:

−6^2+5−6−2

=−36+5−6−2

=−31−6−2

=−37−2

=−39

Answer:

4

Step-by-step explanation:

(-6)^2 + 5(-6) -2

= 36 - 30 - 2

= 6 - 2

= 4

Is this the one you meant?

Which of these describes the system of linear equations below?

3x-2y=7
6x-4y=14

a) the system has no solutions.
b) the system has infinitely many solutions.
c) the ration of the-coordinate to the y-coordinate of the only solution is 2 : 1.
d) the difference between the x-coordinate and y-coordinate of the only solution is one.

Answers

Given:

The system of equations is

[tex]3x-2y=7[/tex]

[tex]6x-4y=14[/tex]

To find:

The correct statement for the given system of equations.

Solution:

On comparing the given equations and general form of linear equation, i.e., [tex]ax+by+c=0[/tex], we get

[tex]a_1=3,b_1=-2,c_1=-7[/tex]

[tex]a_2=6,b_2=-4,c_2=-14[/tex]

Here,

[tex]\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], therefore, the two equations are equivalent and the system has infinitely many solutions.

Hence, the correct option is b.

What is the slope of the line that passes through (2,5) and (6, 7)?

Answers

Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

Simplify the expression

1/5v+3/10v​

Answers

[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]

Raise to the power:
[tex](-2abx)^{4}[/tex]

Answers

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[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]

[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]

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Which number is equivalent to the fraction ?

Answers

Answer:

15/7 = 2.14 or 2 1/7

Hope This Helps!

Answer:

2 1/7

Step-by-step explanation:

15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper

1 + (1 – cos θ )(1 + cos θ )( csc2 θ )
the 2 is to the power

Answers

Answer:

answer = 2

Step-by-step explanation:

1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )

1 + (1 - cosθ)(1 + cosθ)(csc^2θ)

1 + (1 - cos^2θ)(csc^2θ)

1 + (sin^2)(1/sin^2)

1 + sin^2/sin^2

1 + 1

2

3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]

Answers

Answer:  0

=======================================================

Explanation:

Let n be the degree of the numerator

Let d be the degree of the denominator

If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.

In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.

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

Side notes:

If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.

What is the equation linear function in point-slope form M=-1/5 and f(0)=7

Answers

Answer:

y-7= -1/5x

Step-by-step explanation:

general formula (y-y1)= m(x-x1)

m is the slope and in this case m=-1/5

(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y

substitute your given in the equation

(y-7) = -1/5(x-0)

y-7= -1/5x

What is the slope of this line?

Enter your answer as a fraction in simplest term in the box.

Answers

the answer should be 1

help me I'll make brainiest

Answers

Answer:  RS = 16

========================================

Explanation:

The ratio QR : RS : ST  is equal to 1 : 4 : 5

This means we have the following three equations

QR = x RS = 4x ST = 5x

For some positive number x.

Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .

Along with those three equations, we'll also use QT = 40 as well.

Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .

QT = QR + RS + ST

40 = x+4x+5x

40 = 10x

10x = 40

x = 40/10

x = 4

So we know that

QR = x = 4

RS = 4x = 4*4 = 16

ST = 5x = 5*4 = 20

-----------

As a check,

QR + RS + ST = 4 + 16 + 20 = 40

which is the same as QT = 40

Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.

Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.

$383.09
$395.32
$427.91
$442.63

Answers

Answer:
the second one
$395.32

Tony's recipe for soup calls for 11/4 teaspoons of salt. He wants to use 1/2 that
amount. How much salt will he use?

Answers

Answer:

11/8

Step-by-step explanation:

Simplify 11/4 = 2 3/4

half of 2 = 1

half of 3/4 = 3/8

1 3/8 changed to an inproper fraction = 11/8


PLZZZZ HELPPPP THIS IS TIMED!!!

Are the two figures below similar?

A No, the sides are not proportional.

B Yes, the sides are proportional.

C Yes, the sides are congruent.

D No, the sides are not congruent.

Answers

Answer:

C. C Yes, the sides are congruent.

A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?​

Answers

Answer:

Step-by-step explanation:

Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                [tex]=\frac{60-0}{1-0}[/tex]

                                                = 60 miles per hour

But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])

multiply 532 and 734 using natural logarithms

Answers

I think the sander is 102 because Blake’s

I have a radius of 35ft, what is the diameter ?

I have a radius of 15 mm, what is the diameter ?

Answers

Answer:

r=35ft, d=70ft. when r=15 mm, d=30mm

Step-by-step explanation:

Radius is half of diameter

Find the difference between 7/10 and 1/5.

Answers

Answer:

the answer is [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)

hope this helps :)

ones 75 percent and ones not

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What is the coefficient of the fourth term in this expression?
m3+2kn2+mn2+6k2n

Answers

The coefficients would be 6 and 2.
Coefficient of k would be 6 and for n it would be 2.

i don’t know how to do this

Answers

Answer:

A2: 55

A1: 99-55+x:180

X:26

What is the y intercept y=-4-3/2x

Answers

Answer:

should be -4

Step-by-step explanation:

Graph this system of equations on the coordinate plane
y= -3x+3
y= 1/2x -4

Answers

Answer:

see the figure

Step-by-step explanation:

see the figure

Answer:

(2,-3)

Step-by-step explanation:

Desmos graphing calculator

What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)

Answers

Answer:

a

Step-by-step explanation:

just did it and got right

The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

Let,

= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]


Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.


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A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

Answers

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

y = 3x = 2
=
- x + 6

Answers

(y,x)- 8,—2 i’m not smart i just looked this up
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