ABC = 25x + 34
CBD= 11x +23
Find ABD CBD and ABC

ABC = 25x + 34CBD= 11x +23Find ABD CBD And ABC

Answers

Answer 1

The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Bisection of angles

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given
the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

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Related Questions

WILL GIVE BRAINLIEST!!!!!
Use the Segment Addition Postulate to solve the problem below.
Point B is the midpoint of line segment AC.
line segment AC = 5
line segment AB = 3x – 5
Part A - Draw line segment AC, clearly labeling ALL points and ALL measures given above.
Part B - Find the value of x, showing ALL work. This may be typed or handwritten>

Answers

The value of x from the given line segment is 1 2/3.

Given that, line segment AC = 5 and line segment AB = 3x - 5.

We need to find the value of x.

What is the line segment?

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Since point B is the midpoint of the line segment AC.

AB=BC=3x - 5

Now, AC=AB+BC

⇒5=3x - 5+3x - 5

⇒6x=15

⇒x=15/6

⇒x= 5/3

⇒x=1 2/3

Therefore, the value of x from the given line segment is 1 2/3.

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Will mark brainly-est. Please Help me with this Geometry question.

Answers

The answer is point P and point Q

 Given: Segment AB & "congruent to" Line Segment AC. AB = 5x + 18, BC =7, Perimeter of ABC (triangle ) = 53. Find the value of x and length of AC.

Answers

Answer: x=1, AC=23

Step-by-step explanation:

ABC=AB+AC+BC

53=5x+18+5x+18+7

53=10x+36+7

53=10x+43

10x=10

x=1

AC=5x+18

AC=5(1)+18

AC=23

A fruit juice company includes 1.088 ounces of pineapple juice in a 6.55 ounce bottle of a mixed fruit juice how much of the bottle mixed fruit it’s not pineapple juice

Answers

Answer:

5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.

Step-by-step explanation:

Makayla mows two lawns the first lawn in 10 feet lawn and 7 feet wide the area of the second lawn is 7 times as big but has the same width as the first what it the length of the second lawn

Answers

The second lawn that Makayla mows has a length of 70 feet.

If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.

A = l x w

Area of first lawn = 10 feet x 7 feet

Area of first lawn = 70 ft^2

If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:

Area of second lawn = 7 x Area of first lawn

Area of second lawn = 7 x 70 ft^2

Area of second lawn = 490 ft^2

If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.

A = l x w

Area of second lawn = l x w

490 ft^2 = l x (7 feet)

l = 70 feet

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2
Given f(x)=x²-3x - 23 and
g(x)=x-1, find (fog)(x).

Answers

The required function is (fog)(x) = x^2 – 5x – 19  

We have been given two functions which are:

 f(x) = x^2 – 3x – 23

 g(x) = x – 1

We need to find (fog)(x) which is also equal to f(g(x)).

In this, we have to replace x with the function g(x) in the function, f(x). numerically

    f(g(x)) = g(x)^2 – 3g(x) – 23    

Now we will write the value of g(x) in the above equation. We will get

         f(g(x)) = (x-1)^2 – 3(x-1) – 23

         f(g(x)) = x^2 + 1 – 2x – 3x + 3 – 23

         f(g(x)) = x^2 – 5x – 19

Hence  (fog)(x) = x^2 – 5x – 19  is the required function.

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WILL MARK BRAINLIEST HURRY PLSSSS

Answers

Answer:

2.667

Step-by-step explanation:

the thousandths place is the third place after the decimal point, going

0.123

1 is the tenths

2 is the hundredths

3 is the thousands

all you have to do is divide 4 by 15 to get 2.66666667

rounded to the thousands the answer is about 2.667

Type a digit that makes this statement true. 8,353,05_

Answers

The digits that make the given statement true are 3 or 7.

5,156,936 is divisible by 4.5,156,976 is divisible by 4.

What are the rules of divisibility of 4?The basic rule for divisibility by 4 is that if the number formed by the last two digits of a number is divisible by 4, the original number is divisible by 4 as well; this is because 100 is divisible by 4, and so adding hundreds, thousands, and so on is simply adding another number that is divisible by 4.

So, 5,156,9_6 to be divisible by 4:

If the last two digits are divisible by 4, the sum is divisible by 4.As a result, _6 must be divisible by 4.There are two options here: 3 (as in 36) or 7. (as in 76).

Therefore, the digit that makes the given statement true is 3 or 7.

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The correct question is given below:
Type a digit that makes this statement true.

5,156,9_6 is divisible by 4.

the equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form y

Answers

The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.

What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.

To find the equation:

The available points are (3,5) and (9,10).

The line's slope is given by:

[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]

The equation is as follows:

[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]

Solve it to obtain the equation:

[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]

Therefore, the equation is 5x - 12y = -75.

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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.

You roll a number cube. What is the probability that you roll an even number or a number less than 5?

Answers

Let’s first see the probability of landing an even number. We have 6 sides, and 3 are labeled with an even number. So our chances of rolling a number cube are 3/6 (or 1/2 when simplified).

Next, the probability of rolling a number less then five is 4/6 (or 2/3 simplified), since we have 4 sides labeled with a number less than 5.

To compute two or more probabilities, we multiply them. In this case, the fractions already share the same denominator, 6 (because it’s a cube with 6 sides). So we get:

3/6 * 4/6

We then square 6, which is 36, and multiply 3 by 4, which is 12. This gives us 12/36, which is 1/3 in simplified form.

So there’s out answer: 1/3.

Please help giving Brainiest

Answers

(1/2)²-6(2-2/3)

(1/2)²-6(2-2/3)

LCM=6

1/2²-6(2/1-2/3)

12-4

______

6

1/2²-6(8/6)

1-(48/36)

1-(4/3)

= -4/3

does someone mind helping me with this question? Thank you!

Answers

Answer: Slope: 3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(4-(-2))/(3-1)

m=(4+2)/2

m=6/2

m=3

how is everyone?

10+2x3=??

Answers

Answer:16

Step-by-step explanation:

2x3+10

Answer:

The answer is 60

Step-by-step explanation:

10+2= 20

20x3=60

2. Polygon EFGH is a scaled copy of Polygon ABCD.
Name the segment in the scaled copy that
corresponds to segment AB.
1A

Answers

The name of the segment in the scaled copy that corresponds to segment AB is segment EF

How to name the segment in the scaled copy that corresponds to segment AB?

The given parameters are:

Polygon EFGH is a scaled copy of Polygon ABCD.

This means that the corresponding points are

E = A

F = B

G = C

H = D

Remove points C and D

So, we have

E = A

F = B

Hence, the name of the segment in the scaled copy that corresponds to segment AB is segment EF

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Someone help me with this question

Answers

Answer:

Angle Bisector I believe

Step-by-step explanation:

Apologies if I am wrong

An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet. What is the length in inches of the building in the scale drawing?

Answers

The length of the building in the scale drawing is 31. 25 Inches

How to determine the value

From the information given, we have that;

Scale drawing was used0. 25 inches represents 2 feetThe length of the building is 250 feet

Then,

If 0. 25 inches = 2 feet

Then x inches = 250 feet

cross multiply
x × 2 = 0. 25 × 2500

Multiply through, we have;

2x = 62. 5

Make 'x' the subject by dividing both sides by 2

2x/2 = 62. 5/ 2

x = 31. 25 Inches

Thus, the length of the building in the scale drawing is 31. 25 Inches

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Answer:

Step-by-step explanation:

31.25

12. Which is the simplified expression of -8(2m + 9k-13)?
-16m+9k-13
A.-16m +9k - 13
B. -16m - 72k + 104
C. -16m-72k - 104
D. 16m - 72k - 104

Answers

-16m - 72k + 104  is the simplified expression .

What does a math expression mean?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Expression can be a commonly used word or phrase or a means of expressing your ideas, emotions, or sentiments. The idiom "a penny saved is a penny earned" is a prime example. A smile is an illustration of an expression.

the simplified expression of -8(2m + 9k-13)

 = -8(2m + 9k-13)

 = -16m - 72k + 104

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Which is the absolute value of - 26/91 in simplest form?

Answers

Answer:

(2/7)

Step-by-step explanation:

As far as I know, an absolute value number is never negative. So you would do |-26/91| which would give you the positive fraction of (2/7). I don't think the fraction could get any simpler than that.

What is the length of BC in the right triangle below?

12

16
OA. 4
OB. 28
OC. 20
OD. 400
OE. 96
OF. √96

Answers

Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex].

[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the sides of the triangle squared, AB and AC. [tex]c^{2}[/tex] is the hypotenuse (the slanted side of the triangle) or BC.

So, [tex]12^{2} + 16^{2} =400^{2}[/tex]. Then you square root 400 to get your answer.

[tex]\sqrt{400}[/tex] = 20.

20 is your answer.

could i get some help please <3 thank you in advance

|2x + 3) = - 5
3x-6) ≥-3
|2x + 5| ≤ - 7​

Answers

Step-by-step explanation:

2x + 3 = -5

2x = -8

x = -4

3x - 6 ≥ -3

3x ≥ 3

x ≥ 1

|2x + 5| ≤ - 7

NO SOLUTION

Why?

since the absolute value is always positive, there is no way that it would be less than or equal to -7

A firm has sales of $4690, costs of $2490, interest paid of $164, and depreciation of $463. the tax rate is 30 percent. what is the cash coverage ratio?

Answers

13.41% is the cash coverage ratio.

What do we mean by cash coverage ratio?The cash coverage ratio is a calculation that assesses a company's ability to pay off its liabilities with cash that it already has. It is a method of determining a company's liquidity. Only cash and cash equivalents are included in the cash coverage ratio. It excludes things like accounts receivable and inventory.

To find the cash coverage ratio:

The cash coverage ratio is calculated as follows:

But first, the EBIDTA Is:

EBIDTA = Revenue - Cost= 4,690 - 2,490= 2,200

The Cash Coverage Ratio is now:

= (EBIDTA) ÷ Interest= 2,200 ÷ 164= 13.41

Therefore, 13.41% is the cash coverage ratio.

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Write the equation that represents the line use exact numbers

Answers

Answer:

y= 6/5 x -5

Step-by-step explanation:

You have 2 points. (0,-5) and (5,1)

If you use the formula Y2-Y1 / X2-X1,

you will have 1 - (-5) on the numerator, which equals 6

you will have 5 - 0 in the denominator, which equals 5

6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.

how do i find DQ and what is the answer

Answers

Answer:

Step-by-step explanation:

could you explain better?

Cynthia receives a gift of r7, 500 she decides to invest it for 3years, she is offered two saving option:option a:8% interest p.a simple interest

Answers

The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.

Simple interest:

Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

The formula used to calculate the simple interest is

SI = P × R × T

P = The principal is the amount that initially borrowed from the bank or invested.

R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.

T= Time is the duration for which the principal amount is given to someone.

Given,

Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.

Here we need to find the simple interest.

We know that,

P = 7, 500

R = 8/100 = 0.08

T = 3

So, the simple interest is,

SI = 7,500 x 0.08 x 3

SI = 1800

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Mr. Morris borrowed $25,000 from the bank. The time of the loan was 4 years. How much will he pay if the interest rate is 5.25%? (Use simple interest.)

Answers

I think the answer is 5,250.
25,000 x 4 x 5.25%
5.25/100 = 0.0525
25,000 x 4 x 0.0525 is 5,250.

Determine whether the statement is always, sometimes, or never true if three points are collinear , then they are also coplanar

always
sometimes
never

Answers

The statement is sometimes true.

What is collinear points?

Points that are located along a single or shared straight line are referred to as collinear points. If two or more points on a line are situated either close to or far from one another, they are said to be collinear in Euclidean geometry.

Three points are automatically coplanar if they are collinear.

What was just said is sometimes true.

This is because three points along a line are typically recognized to be collinear, however it is not always the case.

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One week, Kayden earned $146.00 at his job when he worked for 10 hours. If he is
paid the same hourly wage, how many hours would he have to work the next week to
earn $43.80?

Answers

Answer:

3 hours

Step-by-step explanation:

you take the amount that was earned and divide it by the amount he works.

[tex]\frac{146.00}{10} = 14.6 per hour.[/tex]

then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.

[tex]\frac{43.80}{14.6} = 3 hours[/tex]

The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.

Answers

Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.

How are time, distance, and speed related?

Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.

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4d-(5b+3) for d=-8 and for b=-3

Answers

Answer:

I believe the answer would be 384

Step-by-step explanation:

4×-8 (5× -3+3)

-32 × -12

384

BOOM!!! Your Welcome

Please help!!
Please help determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
3x^(2)+5x-8=0

Answers

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

How to determine the discriminant?

For a quadratic equation:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

If D > 0, we have two real solutions.

If D = 0 we have one real solution (it is thought as two equal solutions)

if D < 0, we have two complex solutions.

In this case, the quadratic equation is:

3x^2 + 5x - 8 = 0

Then:

a = 3

b = 5

c = -8

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

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