BD bisects Find m
ABC= 25x+34

CBD = 11x+23

BD Bisects Find MABC= 25x+34 CBD = 11x+23

Answers

Answer 1

The measure of angles are

i) Angle ABD = 67°

ii) Angle CBD = 67°

iii) Angle ABC = 134°

We have been given that ray BD bisects angle ABC and also

Angle ABC = (25x+34)°

Angle CBD = (11x + 23)°

Note that angle ABC = angle ABD + angle CBD          (1)

And angle ABD = angle CBD = (11x + 23)° as it is bisected into two equal half.

Therefore putting the required values of angle in equation (1) we get

          (25x+34)° = 2(11x+23)°

           25x+34 = 22x+46

           25x – 22x = 46 – 34

                3x = 12

                  x = 4

Hence,   angle ABD = (11*4 + 23) ° = 44+23 = 67°

               Angle CBD = (11*4 + 23) ° = 44+23 = 67°

               angle ABC = (25*4 + 34)° = 100+34 = 134°

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Related Questions

why is this so got dam fake

Answers

Answer:

Not sure, is there a problem or only the rant? lol. I'd appreciate my first brainliest though.

Step-by-step explanation:

A. Independent Activity 1 Identify whether the following equations are quadratic equations or not? m( 2m + 3) =0 11t2 (t - 4 ) = 0 5h + h2 = - 7 4b (b - 2 ) = - 8 y2 + 7y - 6 = 0 please answer​

Answers

1, 3, 4,5

The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (α, β).

It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.

1)m( 2m + 3) =0

2m²+3m=0

Yes it is a quadratic equation.

2) 11t² (t - 4 ) = 0

11t³-44t²=0

NO

3) 5h + h² = - 7

Yes it is a quadratic equation.

4)4b (b - 2 ) = - 8

4b²-8b +8 =0

Yes, it is a quadratic equation.

5) y² + 7y - 6 = 0

Yes it is a quadratic equation.

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In exercises 19 and 20, find the indicated angle measure. (See photo)

Answers

Answer:

See below to complete

Step-by-step explanation:

ABC = 37 +21 °

LMN = 85 +23 °

The base of a triangle is 3 inches more than 2 times the height. If the area of the triangle is 76 square inches, find
the base and height.

Answers

Height is h = 8 and base  = 19 inch in triangle .

What Does a Triangle's Area Mean?

The space bounded by a triangle's three sides is known as the area of a triangle. Depending on the type of triangle, it is computed using a variety of methods and expressed in square units like cm2, inches2, and so forth.

Area of a triangle whose base is b and height is h is =1/2 * b * h

Let the height of given triangle be h inch and as base of a triangle is 3 inch greater than the height, base is ( 2h + 3)

b = 2h + 3

Hence, its area is 1/2 × h ×  (2h + 3 ) = 76 inch²

So,   1/2 × h × (2h + 3)  = 76

       2h² + 3h  = 76 × 2

       2h² + 3h - 152 = 0

       2h² + 19h - 16h - 152 = 0

       h( 2h + 19 ) -8 (2h + 19) = 0

        (h-8) ( 2h - 19)

 now   h = 8    and  h = -19/2  but height of triangle cannot be negative.

Hence height is h = 8 and base = 2 * 8 + 3 = 19 inch

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A county has 225 acres of vacant land.
Residents voted to turn some of the vacant land.
into parks. Now, there are 36% less acres of
vacant land. How many acres of vacant land
does the county have now?

Answers

The acres of vacant land that the county have now will be 144 acres.

How to calculate the value?

Since 36% has been used, the remaining percentage will be:

= 1 - 36%

= 64%

Therefore, the acres of vacant land that the county have now will be:

= 64% × 225

= 64/100 × 225

= 0.64 × 225

= 144

Therefore, the acres of vacant land that the county have now will be 144 acres.

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Given T(1,5), U(-2,-8), V(7,-9), and W(-6, y). Find y such that
TU VW

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of TU

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{-13}{-3}\implies \cfrac{13}{3}[/tex]

hmmmm, well, if that's so, then the slope of VW will be the negative reciprocal of that only if both are really perpendicular, so

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{13}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{13}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{13}}}[/tex]

since now we know the slope if VW, let's use it

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{y}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{y}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{7}}} \implies \cfrac{y +9}{-13}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{13}}\implies y+9=\cfrac{3(-13)}{-13} \\\\\\ y+9=3\implies {\LARGE \begin{array}{llll} y = -6 \end{array}}[/tex]

-4x-3=-2x-2 solving for x

Answers

Answer:

x = 1/2

Step-by-step explanation:

4x -3 = 2x - 2  There are many ways to approach this problem.  I am going to start by subtracting 2x from both sides of the equation.

2x -3 = -2  I am going to add 3 to both sides of the equation

2x = 1  Divide both sides of the equation by 2

x = 1/2

What’s the GCF of 42, 70, 84

Answers

Answer: 14

Step-by-step explanation:

First. take the prime factorization of all three numbers:

42: 21*2 ==> 3*7*2

70: 35*2 ==> 5*7*2

84: 42*2 ==> 21*2*2 ==> 3*7*2*2

Notice any common factors? That's the GCF.

GCF: 7*2=14

GCF: 14

Answer:

14

Step-by-step explanation:

The greatest number that divides 42, 70, and 84 exactly is their greatest common factor.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70

Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The GCF of 42, 70, and 84 is 14.

The greatest number that divides 42, 70, and 84 is 14.

What is GCF?

The biggest positive integer that divides evenly into all the numbers with no remainder is the greatest common factor (GCF, GCD, or HCF) of a set of whole numbers. For instance, the GCF is equal to 6 for the set of numbers 18, 30, and 42.

How do I get the GCF of something?

The greatest common factor among numbers can be discovered in a number of ways.

Factoring:

List each number's factors in order to calculate the GCF by factoring. The factors that evenly divide into the number with no remainder are known as whole numbers. The GCF is the largest number that appears on each list of common factors for each number.

Example: Find the GCF of 18 and 27

The factors of 18 are 1, 2, 3, 6, 9, 18.

The factors of 27 are 1, 3, 9, 27.

The common factors of 18 and 27 are 1, 3 and 9.

The greatest common factor of 18 and 27 is 9.

Prime Factorization:

List all of each number's prime factors to determine the GCF by prime factorization. List the prime factors that each of the original numbers has in common. Include the most instances of each prime factor that each original number has in common. To find the GCF, multiply these by one another.

You'll observe that the prime factorization approach may be simpler than straight factoring as numbers grow larger.

Example: Find the GCF (18, 27)

The prime factorization of 18 is 2 x 3 x 3 = 18.

The prime factorization of 27 is 3 x 3 x 3 = 27.

The occurrences of common prime factors of 18 and 27 are 3 and 3.

So the greatest common factor of 18 and 27 is 3 x 3 = 9.

There is another method but it focuses on more complex numbers.

Hope this helps!

is the point with coordintaes (-2,-9) on the line whose equation is y=4x - 1?

Answers

Answer:

Yes

Step-by-step explanation:

If you have a graphing calculator or something similar, that could really help because all you would have to do is plug in the equation and look up the table and it would show that coordinate in there.

40 35 37 40 39 41 39 39 36 38 36 39 36 39 35 39 36 37 41 37 38 36 35 40 40 41 39 38 39 35 35 40 39 39 37 38 38 39 35 35 41 37 40 39 38 37 37. Calculate the mode

Answers

The mode of the data is 39 as it's frequency is highest .

Mode is a measure of central tendency . It is the no . which has highest frequency in data .

Data - Frequency

 40   -   6

 35   -   7

 37   -   7

39   -   12      ( max . )

 36   -   5

 38   -   6

 41   -   4

The value of frequency corresponding to 39 is maximum .

Therefore , as 39 occurs most of the time in the data , hence it is the mode of this data .

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Adam is re tilling his rectangular bathroom floor with one-square foot tiles.the bathroom floor is 1,770 square feet and the width is.he wants to know the approximate length of the bathroom show two methods

Answers

Answer:

length = area/width

Step-by-step explanation:

The width is missing.

area = length × width

length = area/width

Divide the area by the width to find the length.

Which shows ray C A?

Answers

80 percent is last option because C is the start point and A end point

n+2.1 - 12
what is it​

Answers

n -9.9

you would get this by subtracting 2.1 - 12

A woman went shopping and spent 2/3 of all the money she had. Then she lost 3/5 of what she had left after shopping. How much money did she have in the beginning if she now has $10.00.

Answers

The amount of money the women had in the beggining was $75.

Let the total amout of money the women had intially be x.

According to the questio.

A woman went shopping and spent 2/3 of all the money she had. Then she lost 3/5 of what she had left after shopping.

So, the amount of money she spent for shopping = (2/3)x = 2x/3

⇒ The amount of money she had after shopping

= x -2x/3

= 3x -2x/3

= x/3

Now, the amount of money she lost 3/5 × (x/3) = x/5

⇒ Amount of money she have after the lost of money

= x/3  - x/5

= 5x - 3x /15

= 2x/15

It is given that she have $10.

⇒ 2x/15 = 10

⇒ 2x = 150

⇒ x = 150/2

⇒ x = $75

Hence, the amount of money the women had in the beggining was $75.

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Which of the following fractions is not equivalent to

Answers

Answer:

The third option is right

Step-by-step explanation:

This is because if you have two negative it becomes a positive

Jose earned 45 points in a video game. He lost 40 points, earned 81 points, then lost 35 more points. Enter and evaluate an expression to find his final score in the video game.

Answers

So 45-40 =5+81=86-35=51

greg can eat 1/8 of a hamburger in 1/12 of an hour how many hamburgers can greag eat in one hour

Answers

Answer: 1.5 Burgers an hour

1/8 x 12 = 1.5

Multiply 1/8 by 12 to get and hour because 12/12ths = 1 hour

Jackie makes $11.75 an hour and worked for 14 hours this week.
How much more money did she make?

Answers

Answer: $164.5

Step-by-step explanation:

11.75*14=$164.5

Perform the indicated operation and express the result as a simplified complex number.
6 + 7i
6-7i

Answers

The value of complex number 6 + 7i / 6-7i is -13 / 85 + 84i/85

What are complex numbers?

Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

Given the complex number is -

6 + 7i / 6-7i

⇒ 6 + 7i / 6 - 7i × 6 + 7i / 6 + 7i

⇒ (6+7i)² / 6² - 7²(i²)

Using (a+b)² = a² + b² + 2ab    

⇒ 6² + (7i)² +2(6)(7i) / 36 - 49(-1)

⇒ 36 - 49 + 84i / 36 + 49

-13 + 84i / 85

⇒ -13 / 85 + 84i/85

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Math's Question. Please answer

Answers

Answer:

i think 15.84 is right

Step-by-step explanation:

bcz Ian all there is 99 4/5 paper towels and tere were 5 rolls. so, to calculate meters of each roll of paper towels we should divide the given value by 5

99 4/5 /5

find the value of sqrt 361

Answers

Answer is

√361 = + or - 19

Reason

- 19 x - 19 = 361
+ 19 x + 19 = 361

Can ya'll help me? This problem has stumped me for a few days.

Answers

Answer is 9

Reason

Your rate of change from your pre image to image is 3/4

So you “x-1” multiplied by 3/4 would equal 6

So we divide 6 by 3/4

When we divide fractions we flip the divisor and multiply

6 x 4/3 = 8

So 9 -1 = 8

So 9 is your answer!

Find the magnitude of the net electric field at the origin (created by charges q1 and q2).

Answers

The direction of the net magnetic field is [tex]$167.36^{\circ}$[/tex]

How to find the magnitude?

[tex]q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)[/tex]

[tex]$q_2=6 \mathrm{nC}$[/tex] at (0.6,0)

[tex]$r_1=$[/tex]Distance of [tex]$q_1$[/tex] from origin[tex]$=\sqrt{0.6^2+0.8^2}$[/tex]

[tex]$r_2=$[/tex] Distance of [tex]$q_2$[/tex] from origin [tex]$=0.6$[/tex]

[tex]$\mathrm{k}=$[/tex] Coulomb constant[tex]$=9[/tex]times [tex]10^9 \mathrm{Nm}^2 / \mathrm{C}^2$[/tex]

Electric field is given by

[tex]&E_1=\frac{k q_1}{r_1^2} \\[/tex]

[tex]&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\[/tex]

[tex]&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}[/tex]

[tex]&\theta=\tan ^{-1} \frac{0.8}{0.6} \\[/tex]

[tex]&\Rightarrow \theta=53.13^{\circ} \\[/tex]

[tex]&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\[/tex]

[tex]&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}[/tex]

[tex]&E_2=\frac{k q_2}{r_2^2} \\[/tex]

[tex]&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\[/tex]

[tex]&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}[/tex]

The charge [tex]$q_2$[/tex] is on the [tex]$\mathrm{x}$[/tex] axis itself and it is pointing towards the origin (left side) so the sign will be negative

[tex]E_2=-150 \hat{i}[/tex]

Resultant electric field

[tex]&E=E_1+E_2 \\[/tex]

[tex]&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\[/tex]

[tex]&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}[/tex]

Magnitude of electric field is given by

[tex]&|E|=\sqrt{(-128.4)^2+28.8^2} \\[/tex]

[tex]&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}[/tex]

Magnitude of the net electric field is [tex]$121.6 \mathrm{~N} / \mathrm{C}$[/tex]

Direction is given by

[tex]\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}[/tex]

From the -x axis

[tex](90+77.36)^{\circ}=167.36^{\circ}[/tex]

The direction of the net magnetic field is [tex]$167.36^{\circ}$[/tex]

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Suppose that you are playing blackjack against a dealer. in a freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?

Answers

The probability that neither you nor the dealer is dealt a blackjack will be 1/26.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck.

Then the total number of the event will be

Total events = 52

Then the probability that neither you nor the dealer is dealt a blackjack will be

Favorable event = 2 {Spade of Jack and Club of Jack}

Then the probability of that events will be

P = 2 / 52

P = 1 / 26

The probability that neither you nor the dealer is dealt a blackjack will be 1/26.

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Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0

Answers

If [tex]y=x^m[/tex] is a solution to the ODE

[tex]x^2 y'' - 7xy' + 15y = 0[/tex]

then substituting [tex]y[/tex] and its derivatives

[tex]y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}[/tex]

gives

[tex]m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0[/tex]

[tex]m(m-1)x^{m} - 7mx^{m} + 15x^m = 0[/tex]

[tex](m(m-1) - 7m + 15)x^{m} = 0[/tex]

We ignore the trivial case of [tex]y=x^m=0[/tex]. Solve for [tex]m[/tex].

[tex]m(m-1) - 7m + 15 = 0[/tex]

[tex]m^2 - 8m + 15 = 0[/tex]

[tex](m - 3) (m - 5) = 0[/tex]

[tex]\implies \boxed{m=3} \text{ or } \boxed{m=5}[/tex]

Brook went bowling with her friends she bowled 3 games and her average score for those games was 121 she had 117 her first game and 108 on her second game write an equation to find g the score of her third game

Answers

Answer:

121 x 3 = 363
117 + 108 = 225

363 - 225 = 138

138 is the third game
I'm not very sure how to write an equation for this, I guess it would look something like
117 + 108 + x = 363

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

work out the area of the shape

Answers

Answer:

88 [tex]cm^{2}[/tex]

Step-by-step explanation:

We need to find the area of the rectangle and the triangle.

Area of the rectangle:

a = length x width

a = 11 x 6 = 66

Area of the triangle:

a = [tex]\frac{ b x h}{2}[/tex]  We need to find the base and height of the triangle.  The base is the same length as the length of the rectangle: 11 and the height is 10 - 6 or 4

a = [tex]\frac{11 x 4}{2}[/tex]

a = [tex]\frac{44}{2}[/tex]

a = 22

Add the area of the rectangle and the triangle together.  66 + 22 = 88

if f(x) = mx +c, f(4) = 11 and f(5) = 13, find the value of f(2).​

Answers

Answer:

7

Step-by-step explanation:

[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]

Subtracting the equations yields that m=2, and thus c=3.

[tex]\implies f(2)=2(2)+3=7[/tex]

Evaluate the function.

f(x) = x² - 4x – 12

Find f(-7)

Answers

Answer:

Your answer is 65

Step-by-step explanation:

f(x) = x² - 4x - 12

f(-7) = (-7)² - 4 x (-7) - 12

= 49 - (-28) - 12

= 49 + 28 - 12

= 77 - 12

= 65

the sporting goods store sold 10 balls, 3 bats, and 2 bases for $99 on Monday. They sold 4 balls, 8 bats, and 2 bases for $78 on Tuesday. On Wednesday they sold 2 balls 3 bats and 1 base for 33.60. What is the cost of each individual item?

Answers

Answer:

ball: $8.00bat: $5.40base: $1.40

Step-by-step explanation:

Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.

10 balls + 3 bats + 2 bases = $994 balls + 8 bats + 2 bases = $782 balls + 3 bats + 1 base = $33.60

Solution

Solving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.

Subtracting twice the third equation from the second, we have ...

  (4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)

  2 bats = 10.80 . . . . . . . simplify

  1 bat = 5.40 . . . . . . divide by 2

Subtracting the second equation from the first, we have ...

  (10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)

  6 balls -5 bats = 21 . . . . . simplify

  6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost

  6 balls = 48 . . . . . . . . simplify

  1 ball = 8.00 . . . . . . . divide by 6

Using the last equation, we can find the cost of 1 base.

  1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)

  1 base = 1.40

The costs are ...

  1 ball: $8.00

  1 bat: $5.40

  1 base: $1.40

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