If ∠ABD = 56, find ∠DBC.

a) 124
b) 56
c) 44
d) 34

If ABD = 56, Find DBC.a) 124b) 56c) 44d) 34

Answers

Answer 1
Angle DBC would equal 34
Answer 2
Final answer:

The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.

Explanation:

The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.

Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.

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Related Questions

720 pt in a hour converted to quarts in a min

Answers

1 quart = 2 pints

720/2 = 360 quarts per hour

1 hour = 60 minutes

360/60 = 6 quarts per minute

To convert 720 pints per hour to quarts per minute, divide the number of pints (720) by 2 to get quarts per hour (360), then divide by 60 minutes to find quarts per minute, resulting in 6 quarts per minute.

To convert 720 pints (pt) per hour to quarts (qt) per minute, first, we need to understand the relationship between pints and quarts. 1 quart is equal to 2 pints.

Therefore, to convert pints to quarts, we would divide the number of pints by 2. We also need to convert from per hour to per minute. Since there are 60 minutes in an hour, we divide the per-hour quantity by 60 to find the per-minute quantity.

Here's the step-by-step conversion:

Start with 720 pints per hour.

Since 1 quart is equal to 2 pints, divide 720 by 2 to convert to quarts. 720  2 = 360 quarts per hour.

To convert quarts per hour to quarts per minute, divide by 60 (since there are 60 minutes in an hour). 360   60 = 6 quarts per minute.

Therefore, 720 pints in an hour is equivalent to 6 quarts per minute.

Divide. (3 3/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.

Answers

[tex]3 \frac{3}{4} = \frac{15}{4} [/tex]

Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.

(15/4) / (-5/2) = -3/2

Convert -3/2 into a mixed fraction. 

Therefore, -3/2 = -1 1/2.

1. 1 5/8 divided by - 1 3/5

2. -5 1/3 divided by 2 3/4

Answers

1. 1 5/8 / -1 3/5 = -25/24 = -1 1/24

2. -5 1/3 / 2 3/4 = 10/9 = -1 1/9

When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a S10.50 charge for each help session a person uses. If John can only spend S170 for computer help this year, what is the maximum number of help sessions he can use this year?

Answers

The yearly fee can be subtracted, resulting in 170-25.50=144.5

So with 10.50 a session, you must divide, resulting in around 13.8 sessions.

13 sessions if you need a whole number.

Hope this helps

Can someone help me on number 42 please.

Answers

Answer:

there is only 40 num so i did 40 num

Step-by-step explanation:

√y=20

squaring both side

y=20²

y=400

which equation shows y+1/5=3x in standard form?

Answers

I believe the correct answer is 15x + 5y =-1 but im not positive cause i did the problem and got -1 but the equation i got looks different i got the equation -15x + 5y = -1
These are the steps i followed
You always begin by the Given equation, which is in this case:
y+ = 3x
To remove the fraction, you multiply the whole equation by 5:
5y + 1 = 15x
Then, you move the "15x" the left-side of the equation, changing it's sign
-15x + 5y +1 = 0
You move the "1" to the right side, changing it's sign
-15x + 5y = -1

The answer is 15x-5y=1.

How to write one hundred eight and ninety-five hundredths as a decimal

Answers

One hundred eight and ninety-five hundredths as a decimal is:
108.95
108.95 is one hundred eight and ninety-five hundreths as a decimal.

Write two algebraic expressions, one with a quotient of x5 and one with a product of x5

Answers

25+5/5x=30/5x. product:5x+35=3x+17

An algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].

We need to write two algebraic expressions, one with a quotient of [tex]x^{5}[/tex] and one with a product of [tex]x^{5}[/tex].

What is an algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Now, an algebraic expression with a quotient of [tex]x^{5}[/tex] is

[tex]\frac{x^{7} }{x^{2} } =x^{7-2}=x^{5}[/tex]  (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

An algebraic expression with a product of [tex]x^{5}[/tex] is

[tex]x^{3}\times x^{2} = x^{3+2}=x^{5}[/tex]

Therefore, an algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].

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One meter is approximately equal to 39.39 inches.About how many inches are in 3 meters? A 40 B 90 C 120 D 150

Answers

There are 118.11 inches in 3 meters. So rounding up the answer would be C
39.39 is about 40, so 40 time 3 is C 120

Which fact would help you to solve for x in the diagram shown?
A) Angles in an equilateral triangle are congruent.
B) The sum of the interior angles in a quadrilateral is 360°.
C) Alternate interior angles formed by a transversal and parallel lines are congruent.
D) The exterior angle of a triangle is equal to the sum of the two remote interior angles.

Answers

Answer:

(A) Angles in equilateral triangle are congruent

Step-by-step explanation:

From the figure, it can be seen that in triangle ABD, [tex]AB=BD=AD[/tex] which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.

Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.

Thus, option A is correct.

Answer:

the person above me is correct

How to solve from 86 books to 150 books

Answers

Hey!

I assume you're talking about percentage. What was the percentage increase from 86 books to 150.

Using the formula to find percentage increase, we will solve this:

{(86 - 150) / 86} × 100 = 74.42

So, the percent increase from 86 books to 150 is 74.42%

For what value does 4x = (1/8)^x+5

Answers

The answer is x = 40/31 

Answer:Its B

-3

Step-by-step explanation:

PART ONE-----
Patel bought a model rocket kit from a catalog. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $19 charge for shipping was added after the sales tax. What was the total amount Patel paid including tax and shipping costs?


PART TWO---
Patel received an allowance of $15 per week. How many weeks it will take him to purchase the kit?

Answers

Part one: $152.70

Part two: About 11 weeks

Hope this helps!!

Answer 1-5 please
Thanks

Answers

1. The answer is D. a balance of power between the branches of Government
The separation of power separates government into executive, Judiciary, and Legislative with each of their own responsibilities.
This being done in order to prevent the government from becoming too powerful and transform into tyranny.

2. The answer is  B. To decide if cases heard by lower courts were tried appropriately
The court of appeal will bring the case into higher court if either party are not satisfied with the result of the court. But the Decision that made by the Supreme courts are final

3. the answer is B. By overriding a Veto
Congress has the right to reverse the deicision if they managed to make mor than 2/3 of the Congress' member to agree. In this case, the president will be forced to change the decision even after using the veto right

4. The answer is B. Declaring war in war on another country
Declaring war on another country could only be done by Congress or The President. (In the Government, The president acted as the head of the executive branch of the Government)

5. The answer is C. Reserved Powers
Reserved powers allow the states to regulate several aspects of Government operations such as handling marriage, imposing states law, proposing a plan for infrastructure construction, etc


I need help with this math problem please!

Answers

D, because (5+y) and 8 are factors, and within (5+y), 5 and y are terms.

Maya's school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first week, Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb. a. which girl collected more aluminum? b. how much aluminum did the two girls collect?

Answers

If you put this into the calculator, 4/20 is .2 and 7/8 is .875 therefore Abigail collected more. If you use them as the same denominator, you have 8/40 for Maya and 35/40. And if you add these two numbers together, you get 1.075 which is 43/40 as a fraction

a)If Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb Abigail collected more aluminum.

b) 43/40 lb of aluminum the two girls collect.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, in the first week, Maya collected 4/20 lb of aluminum, and her friend Abigail collected 7/8 lb.

We have to simplify the expression,

Maya collected 0.2 lb of aluminum, and her friend Abigail collected 0.875 lb.

From the given fraction it is obtained as Abigail collected more aluminum.

The amount  of aluminum did the two girls collect is,

=4/20+ 7/8

=43/40

Thus, If Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb Abigail collected more aluminum and 43/4 lb of aluminum than the two girls collect.

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Tyler delivers newspapers. He collected $10 from each customer. He has 5 customers on each street, and he delivers to 4 different streets. How much money did Tyler collect?

Answers

$200 is the correct answer.
He would earn $200 because if he collects $10 from each customer, then 5 times 4=20, 20 times 10= 200


Whats the property shown for this problem? ||Associative||Commutative||Opposite||
-2.2 + (-3.7 + (-1.4)) = (-2.2 + (-3.7)) + (-1.4)

Answers

I would go with associative property.
It would be Associative because since you are keeping the same numbers only changing the " ( ) ".

30 students 2/5 play an instrument and 5/6 play a sport. How many students play an instrument and how many play sport..?

Answers

7/30 because 2/5+5/6 is like 12/30+ 25/30 which is 37/30 and simplified it’s 1 7/30 and that one means it’s already a whole and that means 7/30 do both

Final answer:

There are 30 students in total, 12 of whom play an instrument, and 25 of whom play a sport.

Explanation:

The question asks about the number of students who play an instrument and the number who play a sport. There are 30 students in total.

To find the number of students who play an instrument, we multiply 30 by ⅓ (2/5), since 2/5 of the students play an instrument. To find the number of students who play a sport, we multiply 30 by ⅕ (5/6), since 5/6 of the students play a sport.

For the instrument calculation: 30 × 2/5 = 12, so 12 students play an instrument.

For the sport calculation: 30 × 5/6 = 25, so 25 students play a sport.

A bicyclist rides 12 miles in 132 minutes. If she continues at this speed, how long will it take her to travel 66 miles? 24 minutes 77 minutes 660 minutes 726 minutes

Answers

12 miles - 132 minutes
1 mile - 132/12 = 11 minutes
66 miles = 11 x 66 = 726 minutes.

Hence your requires answer is 726 minutes.

Hope This Helps You!
If she continues at this speed, it will take her 726 minutes to travel 66 miles.
To get this I divided 132 by 12 to get 11. Then I multiplied 11 by 66 to get 726.

Find the sum or difference 1/4(q-12)+1/3(q+9)

Answers

1/4(q-12) + 1/3(q+9), Then you must use the distributive property to get 1/q-3+1/3q+3. Then you simplify by combining like terms to get, 7/12q. You do not have any constants because they cross each other out.

Final answer:

To find the sum of 1/4(q-12)+1/3(q+9), distribute the fractions, combine like terms, and simplify to get the final answer of 7/12q.

Explanation:

The question requires finding the sum of two algebraic expressions involving the variable q. To solve this, we need to combine like terms after distributing the fractions through the parentheses. Here's the process:

Distribute 1/4 through (q-12): 1/4 * q - 1/4 * 12 = 1/4q - 3.

Distribute 1/3 through (q+9): 1/3 * q + 1/3 * 9 = 1/3q + 3.

Add the results together: 1/4q - 3 + 1/3q + 3.

Combine like terms: To add 1/4q and 1/3q you need a common denominator. The common denominator for 4 and 3 is 12, so convert fractions: 3/12q + 4/12q = 7/12q.

Combine constants: -3 + 3 = 0, so they cancel out.

The final answer is 7/12q.

Therefore, the simplified form of 1/4(q-12)+1/3(q+9) is 7/12q.

Tanya is making goodie bags for her party. Each bag has 6 toys, 4 pieces of candy, and 12 stickers. To keep the proportions the same, she will need ? toys and ? stickers in each bag

Answers

The number of bags is the greatest common factor of 6,4, and 12
Find the greatest common factor of 6,4,and 12 in order to find how many bags to start off

Carla gets a 96% on a 50 question test . What what fraction of the answers did she get wrong?

Answers

Hello!

To find this out, figure out the amount of questions she got correct..

To get that number, multiply 96% as a decimal, (0.96) by 50.

0.96 * 50 = 48.

Turn 48 into fraction, (over 50)

48/50 is the answer.

Hope this helps!

Jason has 7 puzzles. Quincy has the same number of puzzles as Jason. How many puzzles do they have altogether? Solve. Write or draw to explain

Answers

All together they have 14 puzzles. You add Jason's seven to Quincy's seven and you will end up with 14 puzzles.

Vertex form of f(x)=1/2x squared

Answers

Vertex form 1/2(0), where 0 replaces x as a number the variable x is.
The vertex is (0,0).

A gaming system is marked down from 290 to 188. What is the percentage of the discount?

Answers

Let P = percent of discount

(290-188)/290 = P/100

102/290 = P/100

290P = (102)(100)

290P = 10,200

Solve for P to find your answer.

The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? https://coststudyfiles.ucdavis.edu//uploads/cs_public/c5/a1/c5a181af-8e1b-474a-9509-443c3cb223ed/strawberry2ndyrcc2011.pdf pages 15-16

Answers

Answer:

weed-hand

y=63x

$1,512.00

Step-by-step explanation:


Answer:

third option, second option, then first option

Step-by-step explanation:

just took the assignment

What is the total perimeter of the pitch and seating area?
What is the total area of the pitch and seating area?

Answers

The figure shown below illustrates the seating area.

The radius of the two semicircular areas is r = 1000 cm = 1 m.
The top rectangle has dimensions 40 m by 2 m.
One bottom rectangle has the dimensions 25 m by 0.8 m.
The other bottom rectangle has dimensions 10 m by 0.8 m.

The perimeter of the pitch and seating area is
P = 2π(1) + 40 + 4(0.8) + 40 = 83.2 + 2π m = 89.483 m

The total area is
A = π(1) + 40(2) + 25(0.8) + 10(0.8) = 111.1416 m²

Answers:
Perimeter = 89.5 m (nearest tenth)
Area = 111.1 m² (nearest tenth)


Answer:

111.1

Step-by-step explanation:

Brad and Wes are building a tree house. They cut a 12 and a half foot piece of wood into 5 of the same length pieces?How long is each piece of wood?

Answers

Each piece of wood is 2.5 feet because 12.5 divided by 5 is 2.5.

Which equation correctly applies the distributive property?

A.(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) ​

B.−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045

C.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57 ​

D.50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005) ​

Answers

The answer should be A

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Distributive property which is expressed as

[tex]a\times (b+c)\\\\=a\times b+a\times c[/tex]

Similarly, in option 'A', we have

(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) ​

Here, a = 0.5,

b= 0.5

c = 0.3

d = 0.2

So, it can be expressed as

[tex]a\times (b+c+d)=a\times b+a\times c+a\times d[/tex]

Hence, Option 'A' is correct.

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