All categories

3 years ago

Quadrilateral ABCD is inscribed in a circle.

Mathematics

1 answer:

3241004551 [841]3 years ago

3 0

The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.

In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles A and C.

m<A+m<C=180 Substitute the values of angles A and C
2x+9+3x+1=180 Combine like terms
5x+10=180 Subtract in both sides by 10
5x=170 Divide in both sides by 5 to isolate x
x= 34

Now that the value of x is known, you can substitute it into the expression representing angle A.

m<A=2x+9
m<A=2(34)+9
m<A=77

The measure of angle A is 77 degrees.

You might be interested in

The conditional relative frequency table below was generated by column using frequency table data comparing the number of calori

Rudik [331]

There is an association because the value 0.15 is not similar to the value 0.55

For the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.

The conditions that satisfy whether there exists an association between conditional relative frequencies are:

1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.

2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.

For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

We can conclude that there is an association because the value 0.15 is not similar to the value 0.55

5 0

3 years ago

Read 2 more answers

Which is a real-world example of two planes intersecting?

leva [86]

The answer to the question above is the third choice, "a shelf on a wall". The shelf is usually made of rectangular pieces of materials that are then connected to each other to form quadrilaterals. The sides of the shelf are planes.

8 0

3 years ago

Read 2 more answers

12-2/3x=x-18 so how do you answer this question

vitfil [10]

Answer:

Step-by-step explanation:

I think I've already answered this question.

3 0

3 years ago

PLEASE HELP ME 2x+45=90

arsen [322]

Answer:

x = 45/2 = 22.5 cm

Step-by-step explanation:

2x + 45 = 90

2x = 90- 45= 45

2x = 45

x = 45/2 = 22.5 cm

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

8 0

3 years ago

Solve: 4= -0.8n I forgot how to do this can someone help?

frez [133]

Answer:

n = -5

Step-by-step explanation:

Just divide both sides with -0.8

:) 

8 0

3 years ago

Read 2 more answers

Quadrilateral ABCD ​ is inscribed in a circle.

Quadrilateral ABCD is inscribed in a circle.