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kondaur [170]
3 years ago
11

How to find the answers ?

Mathematics
1 answer:
maria [59]3 years ago
3 0

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

AB||CD and BC is the transversal,

angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

or, 84+2x = 180

or, 2x=180-84 = 96

or, x = 48

Answers: a)48°

b)42°

c)72°

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I need a normal answer not a equation
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Answer:

PQ = 3.2

Step-by-step explanation:

You must use the addition property of equality, and subtract 16 from the of the 5x, and add it to the other side.

After that, you have 5x = 16

You then divide both sides by 5.

5x/5 = 1x = x

16/5 = 3.2

x = 3.2

Therefore, the side 'PQ' is equal to 3.2

Brainliest appreciated!

4 0
3 years ago
it took elijah 2.4 hours to run 13.8 miles. how many miles did he run each hour if he maintained a constant speed?
STALIN [3.7K]

Step-by-step explanation:

Elijah runs at constant speed

2.4 hours -----------> 13.8 miles

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6 0
3 years ago
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ale4655 [162]

Answer:

A: 10,000 residents to 25 police officers

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5 0
2 years ago
What is the area, in square yards, of the polygon shown?
Alexeev081 [22]

Answer:46


Step-by-step explanation:Regular polygons are shapes made of straight lines with certain relationships among their lengths. For instance, a square has 4 sides, all the same length. A regular pentagon has 5 sides, all the same length. For these shapes, there are formulas for finding the area. But for irregular polygons, which are made of straight lines of any length, there are no formulas, and you need to be a little creative to find the area. Fortunately, any polygon may be divided into triangles, and there is a simple formula for the area of triangles.


Label the vertices (points) of the polygon starting with 1 at an arbitrary vertex and continuing clockwise around the polygon. There should be as many vertices as there are sides. E.g. for a pentagon (five sides) there will be five vertices.


Draw a line from vertex 1 to vertex 3. This will make one triangle, with vertices 1, 2, and 3. If there are only 4 sides, it will also make a triangle with vertices 1, 3 and 4.If the polygon has more than 4 sides, draw a line from vertex 3 to vertex 5. Continue in this way until you run out of vertices.


Compute the area of each triangle. The formula for the area of a triangle is 1/2 * b * h, where b is the base and h is the height.


Add up the areas, and this is the area of the polygon.

3 0
3 years ago
Read 2 more answers
The point P=(3/4, y) lies on the unit circle. What is the value of y in simplest form?
laila [671]

Answer:

Step-by-step explanation:

if (x,y) is any point on unit circle then

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x²+y²=1

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9/16+y²=1

y²=1-9/16=(16-9)/16=7/16

y=±√7/16

4 0
3 years ago
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