In the figures above, lines l and m are parallel and BD bisects ABC. What is the value of x?

Answers

Answer 1

Answer:

54 degrees

Explanation:

Plot point X on the left of point A on line l. Lines l and m are parallel, and segment AB is the transversal. Angles BAX and ABC are alternate interior angles, so they are congruent (same angle measures). Since segment BD bisects angle ABC, angles ABD and DBC are congruent. Therefore angle ABD is 108/2 = 54 degrees. In the diagram, we can also see that angle DAB is 180-108 = 72 degrees. Since interior angles of a triangle add up to 180, angle ADB is 180-72-54 = 54 degrees.

Answer 2

Answer: I don't Know

Related Questions

Which of the following is a characteristic of all minerals?
a. Contains silicon
b. Inorganic
c. Liquid
d. Man-made

Answer is b. Inorganic

Answers

The correct option is b. One main characteristic of all minerals is that they are inorganic.

What is a mineral?

A mineral is a term used to describe a naturally occurring material that has its own set of unique chemical and physical properties. These properties can vary, such as hardness, colour, acidity level, etc. Examples of minerals includes, gold, copper, crude, etc, all of these materials are not man made, they are naturally occuring.

What does inorganic mean?

The term inorganic describes any material that is not made up of living matter. In other words, they are liveless substances. Hence, minerals are classified as inorganic materials due to having this very nature.

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Answer:

B. Inorganic

Explanation:

Learn more here:

https://brainly.com/question/10569082

Hope this helps!

Help me plsssss I do not know how to solve it, I already upload the picture pls help me

Answers

The number of additional tea bags that are needed to make each additional cup of tea is: B. one.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

What is a slope?

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

x and y are the points.m is the slope or rate of change.c is the intercept.

Comparing the given equation with the standard form of the equation of a linear function, we have:

t ⇒ y, n ⇒ x;

t = n + 2 ≡ y = mx + c

Therefore, we can logically deduce that the slope (m) is equal to one (1).

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Complete Question:

At a restaurant, n cups of tea are made by adding t tea bags to hot water. If t = n+2. how many additional tea bags are needed to make each additional cup of tea?

Critically discuss three ways in which physical activities could improve your quality of life

Answers

Answer:

hola

Explanation:

What element MOST defines a fairy tale?

1. involving real-world historical figures

2. involving a person of royal station (e.g., prince)

3. involving actual fairies (or their regional equivalent)

4. involving some magical force

Answers

Answer:

4. involving some magical force

Explanation:

If not 4, then try 2

The answer is 4 b/c all fairytales have some sort of magic

~A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inches more than its height. Ifthe area ofthe base of the prism is 60 square inches, what is the volume of the prism, in cubic inches?

Answers

Answer:

Volume = 480 cubic inches

Explanation:

We have the following relationships to work with

width w = h -3

length l = h + 4

area of base of prism a = l x w = 60 (1)

area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)

Setting (1) = (2) gives

h² + h -12 =60

h² + h -72 = 0

Factoring the LHS we get

(h+9)(h-8) = 0

The solutions for h are

h + 9 = 0 ==> h = -9

h - 8 = 0 ==> h = 8

Since h cannot be negative, h = 8 inches

Volume = base area x h = 60 x 8 = 480 cubic inches

Note

We do not have to calculate length and width separately, but if so,

w = 8 -3 = 5

l = 8 + 4 = 12

S21: sorting algorithms bubble sort for each set of data, write out each pass of bubble sort. 1. sort in descending order, beginning at the front: 56, 1, 23, 10, 7, 15, 11,

Answers

The sorted algorithm of the bubble sort in descending order, beginning at the front is:

56, 23, 10, 7, 15, 11, 4, 1

56, 23, 10, 15, 11, 7, 4, 1

56, 23, 15, 11, 10, 7, 4, 1

What is Sorting Algorithm?

This refers to the type of algorithm that is used to rearrange a given array or list elements according to a comparison operator on the elements.

Therefore, we can see that based on the bubble sort: 56, 1, 23, 10, 7, 15, 11, the correct sort in the descending order, beginning at the front is given above.

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The weight w of an object above the Earth varies inversely as the square of the distance d from the centre of the earth. If an astronaut weighs 80 kg on the surface of the earth, what would this weight be at an altitude of 1000 km? Assume the radius of the Earth to be 600 km. Give your answer correct to the nearest kg.

Answers

Answer:

11 kg

Explanation:

Given weight in kg ∝ d² where d is the distance of the object from the center of the earth

We can write this as an equatio

w = (k/d²) where is a constant

On the surface of the earth, d = 600, w = 80 so we get

80 = k/600² ==> k = 600² ( 80) = 600 x 600 x 80 (1)

At 1000 km altitude, the actual distance of the astronaut from the center of the earth is 1000 + 600 - 1600 km

So we get another equation w' = k/1600²

were w' is the weight of the astronaut at an altitude of 1000km

Using the value of k from (1) we get

w' = (600 x 600 x 80)/(1600 x 1600) = 11.25kg = 11 correct to the nearest kg

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