In Exercises 37– 40, BD ⃗ bisects ∠ABC. Find m∠ABD,

m∠CBD, and m∠ABC.

In Exercises 37 40, BD Bisects ABC. Find MABD,mCBD, And MABC.

Answers

Answer 1

Answer:

37,  ABD = CBD = 44 degrees, and ABC = 88 degrees

38.  ABD = CBD = 24 degrees, and ABC = 48 degrees

39.  ABD = CBD = 65 degrees, and ABC = 130 degrees

40.  ABD = CBD =67 degrees, and ABC = 134 degrees

Step-by-step explanation:

Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:

37.  

6 x + 14 = 3 x + 29

3 x = 19 - 14 = 15

x = 15/3

x = 5

then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees

CBD must equal ABD , so CBD = 44 degrees

And the total angle ABC = 88 degrees

38.

3 x + 6 = 7 x - 18

24 = 4 x

x = 24/4 = 6

Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees

39.

- 4 x + 33 = 2 x + 81

- 6 x = 81 - 33

-6 x = 48

x = - 48/6

x = -8

Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees

The also CBD = 65 degrees, and ABC = 130 degrees

40.

8 x + 35 = 11 x + 23

35 - 23 = 11 x - 8 x

12 = 3 x

x = 12/3

x = 4 degrees

Therefore:

ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.

Then also CBD = 67 degrees, and ABC = 134 degrees


Related Questions

A scuba driver was swimming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the difference between these two elevations.

Answers

Answer:

-21

-29-(-8)=-21

1 1/4 times 2/5 divided by 3 1/3

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1.5 or 1 1/2 or 1 2/4. You get the point

On a number line, which number is 7/9 of the way from -6 to 3

Answers

Answer:

1?

Step-by-step explanation:

if you go from -6 to 3 it is 9 spaces. so 7 spaces equals one.

Q
100%
Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll.
Which two sums have an equal chance of occurring?

A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9

Answers

Answer:

Step-by-step explanation:

it’s B

7 and 4 is the only number that has a unique chance. The correct option is B.

What are permutation and combination?

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Let's analyze the possible sums of both dice, using the notation:

Dice₁ + Dice₂ = sum.

Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.

I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:

We can have 2 if:

1 + 1 = 2

Only one permutation.

and 12 if:

6 + 6 = 12

Again, only one permutation.

so 2 and 12 have the same chance (1 out of 36)

now, to have 3 we can have the:

2 + 1 = 3

1 + 2 = 3.

and to have 11

5 + 6 = 11

6 + 5 = 11

Again, 3 and 11 have the same probability (2 out of 36 options)

And now we can see a pattern.

4 and 10 will have the same chance.

5 and 9 will have the same chance

6 and 8 will have the same chance

7 is the only number that has a unique chance (and it has the largest one)

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A 12-inch candle burns at a rate of 2 inches per hour. What is the graph of the equation that models the height of the candle over time?

Answers

Just divide them 12 divided by 2 is..... and from there on u go

The candle burns at a rate of 1 inch per hour.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

here, we have,

Given,

A 12-inch candle burns down in 12 hours.

∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,

= (12/12) inch/hr.

= 1 inch/hr,

Hence, The candle burns at a rate of 1 inch per hour.

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complete question:

A 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?​

36599 round to the nearest thousand

Answers

Answer:

If you round to the nearest thousand, you get; 37,000                                                                            

37,000 if it ends with a number between 5-9 you need to round it up. If it ends with a number 0-4 round it down

Classify the equation as a conditional equation, an identity, or a contradiction. 6x−10−8=9+4x−4x

Answers

Step-by-step explanation:

this is your answer.........

Answer:

conditional equation

Step-by-step explanation:

Collecting terms on both sides, we get

6x−10−86x−18=9+4x−4x=9

Adding 18 to both sides of the equation, we get

6x=27

This can be solved by dividing by 6 on both sides of the equation, which gives a unique solution of 92. So, this is a conditional equation.

If g(x) = 10 + 2x what is g(-3)

Answers

Answer:

4

Step-by-step explanation:

[tex]g(x)=10+2x\\\\g(-3)=10+2(-3)\\\\g(-3)=10+-6\\\\g(-3)=10-6\\\\\boxed{g(-3)=4}[/tex]

Hope this helps.

If you sub in -3 for x, and add it all up it’ll be 4

Find the sum of the squared residuals for each potential line of fit, and then determine which potential line is the true line of best fit. Equation 1 Square of residual .28 .167 .19 Equation 2 Square of residual .005 .110 .09 Equation 3 Square of residual .125 .125 .26 Equation 4 Square of residual .212 .009 .08 Question 8 options: Equation 4 Equation 1 Equation 3 Equation 2

Answers

Answer: Equation 2

Step-by-step explanation:

Equation 1 Square of residual .28 .167 .19

Sum of Square Residual :

( .28 + .167 + .19) = 0.637

Equation 2 Square of residual .005 .110 .09

Sum of Square Residual :

(.005 + .110 + .09) = 0.205

Equation 3 Square of residual .125 .125 .26

Sum of Square Residual :

( .125 + .125 + .26) = 0.51

Equation 4 Square of residual .212 .009 .08

Sum of Square Residual :

( .212 + .009 + .08) = 0.301

Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.

What are the quadrants of the standard (x, y) coordinate plane below that contain points on the graph of the equation 4x - 2y = 8 ?

Answers

Answer:

Step-by-step explanation:

4x-2y=8

divide by 8

[tex]\frac{x}{2}+\frac{y}{-4}=1\\x~intercept=2\\y~intercept=-4\\also ~2y=4x-8\\y=2x-4\\slope=2\\[/tex]

so graph lies in third and fourth and first quadrants.

The  graph lies in third and fourth and first quadrants.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

Given:

4x - 2y = 8

Now, make the equation in standard form

4x/8 - 2y/8 = 8/8

x/2- y/4 = 1

Now,

y- intercept is -4

and x- intercept is 2.

Also, we can write  4x - 2y = 8 as

y=  2x-4 and slope= 2

Hence, graph lies in third and fourth and first quadrants.

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Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?

Answers

Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

Answer: A

Step-by-step explanation: line one should have a y-intercept at (0,2).

Help!!to show your work!!

Answers

Y=-1/2x-7
Explanation:
-4y= 2x+28
Y=-1/2x-7

What is non-collinear?

Answers

Answer:

Non-colinear means that three given points do not have a single line connecting all 3 of the points.

Solve for x: 3 < x + 3 < 6

Answers

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to everything

0 < x < 3

Best of Luck!

yolandaa sunflower is 12 centimeters more than jean sunflower yolanda sunflower is 75 centimeters tall. how tall is jeans sunflower?

Answers

Answer:

63 centimeters

Step-by-step explanation:

Answer: 63 cm tall.

Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.

75 = 12 = 63

So, Jean's sunflower is 63 centimeters tall.

Find the area of a square with sides of length 6.5 inches

Answers

Answer:

A=42.25

Step-by-step explanation:

6.5^2

What is estimation? When is it helpful to use estimation?

Answers

Answer:

Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable  

Step-by-step explanation:

What is the solution?

Answers

Answer:

1)x=13-15 => x=-2

2)-6x=-30 => x=5

3)x/4=18 => x=72

4)x-2=-11 => x=9

Step-by-step explanation:

i need to finish my homework

Answers

the answer would be:

2x + 2

Are all numbers rational?

Answers

Rational numbers can be written in ratios as in fractions and on a fraction the top number for example 2/4 the 2 is rational because the 2 can be written as 2/1

For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $83.90.

What are the possible numbers of minutes she has used her phone in a month?

Use M for the number of minutes, and solve your inequality for M.​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly fee = $17

Additional fee per unit of use = $0.05

Least amount she's been charged in a month = $83.90

Equation to represent the number of minutes 'M':

monthly fee + (additional fee per minute × M) = $83.90

Possible number of minutes :

83.90 ≤ $17 + 0.05M

$17 + $0.05 × M = $83.90

$0.05*M = $83.90 - $17

$0.05*M = $66.90

M = $66.90 / 0.05

M = 1,338 minutes

If a side of a square is 10 what the other sides will be

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

all sides are equal

Find the value of using identities 996^2

Answers

Answer:

992,016

Step-by-step explanation:

[tex] {996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\ [/tex]

74.052 using expanded form with fractions and expanded form with decimals

Answers

Answer:

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Step-by-step explanation:

Given

74.052

Required

Write in Expanded Form

In Decimals

[tex]7 = 7 * 10[/tex]

[tex]4 = 4 * 1[/tex]

[tex]0 = 0 * 0.1[/tex]

[tex]5 = 5 * 0.01[/tex]

[tex]2 = 2 * 0.001[/tex]

Bring these together,

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

In Fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

Convert decimals to fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2,3,4 , and 5 faces are not affected, which of the choices is the correct assignment of probabilities to the six faces

Answers

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

Need helpw ith this plz

Answers

0 (inconsistent system)

Solve the equation for the specified variable

S=gr-5gk*3, for g

Answers

Answer:

[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]

Step-by-step explanation:

Given

[tex]S=gr^{-5}gk*3[/tex]

Required

Solve for g

[tex]S=gr^{-5}gk*3[/tex]

Split into different entities

[tex]S=g * r^{-5}*g*k*3[/tex]

Reorder in terms of like terms

[tex]S=g*g * r^{-5}*k*3[/tex]

[tex]S=g^2 * r^{-5}*k*3[/tex]

[tex]S=g^2 * 3kr^{-5}[/tex]

Solve for [tex]g^2[/tex]

[tex]g^2 = \frac{S}{3kr^{-5}}[/tex]

Take square root of both sides

[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]

4/9(3/8x-27/16)=13/4

Answers

Answer:

x=24

Step-by-step explanation:

22/44 rational or irrational?

Answers

rational. 22/44 can be simplefied to 1/2 and 1/2 is rational.

Answer:

RATIONAL NUMBER

Step-by-step explanation:

22/44=2/4

IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.

When using 3 letters to make an angle the middle letter is

Answers

X? Not sure what the answer choices are but try that
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