All categories

3 years ago

Help Please. Picture Included!

Mathematics

2 answers:

timofeeve [1]3 years ago

5 0

Answer:Angle BAD = 180-59= 121 degrees

Step-by-step explanation:

Quadrilateral ABCD is inscribed in circle O

Sum of angles in the quadrilateral = 360.

In a quadrilateral, the two opposite angles are supplementary. This means the sum of the two opposite angles is 180

Therefore, angle ABC + angle ADC = 180

So also, angle BAD + angle BCD = 180

angle ABC = 2x + 3 and angle ADC = 4x +3

2x + 3 + 4x + 3 = 180

6x + 6 = 180

6x = 180-6 = 174

x = 174/6= 29

Angle ABC = 2×29 +3 = 61 degrees

Angle ADC = 4× 29 +3 = 119 degrees

Angle BCD = 2×29 + 1 = 59 degrees

Angle BAD = 180-59= 121 degrees (because they are supplementary angles)

BartSMP [9]3 years ago

4 0

The answer is 59 degrees.

You might be interested in

Victor writes 10 more poems than ann.Ann writes 10 poems. How many poems does victor writes?

tino4ka555 [31]

Victor writes 20 poems

Solution:

Given that victor writes 10 more poems than Ann

Also given that Ann writes 10 poems

To find: number of poems written by Victor

From given information, we can frame a equation as:

number of poems written by Victor = 10 more poems than Ann

number of poems written by Victor = 10 + number of poems written by Ann

Substituting the given , number of poems written by Ann = 10 , we get,

number of poems written by Victor = 10 + 10 = 20

Thus victor writes 20 poems

3 0

3 years ago

Read 2 more answers

The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right an

Naddika [18.5K]

Answer:

the shaded area is 26, the non-shaded area 16

Step-by-step explanation:

The red shaded lines had numbers as well so I add all of them up.

The non-shaded lines didn't have a number, but the bottom had the same length of the top line so therefore your answer is 26 for Shaded, and 16 for non-shaded.

3 0

3 years ago

Read 2 more answers

The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o

Airida [17]

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

Let me define the each terms.

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

60° + 60° + 60°
180°

2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

90° + 90°+90°+90°
360°

Similarly,

There is 8 angle in a regular octagon and each angle measurement is 135°.

So, sum of the angles of an octagon = 135° × 8

Sum of the angles of an octagon = 1080°

Therefore, the required sum of the angles of an octagon is 1080°

6 0

3 years ago

Factor the mn+5m-3n-15

neonofarm [45]

The factor of mn+5m-3n-15 is 6m-4n-15.

3 0

3 years ago

Which of the following inequalities has no solutions?

neonofarm [45]

Answer:

A) x > 3 and x < 2 has no solutions

Step-by-step explanation:

Given inequalities below and we are looking for a pair with no solution.

Let's verify:

A) x > 3 and x < 2,

It has no solutions since the two inequalities have no common interval.

B) x > - 3 and x < - 2,

Its solution is -3 < x < - 2, the interval between two given endpoints.

C) x > - 3 and x < 2,

Similar to option B, the interval is between two endpoints:

- 3 < x < 2

D) x > - 3 and x > - 2,

Its solution is x > - 2, the two inequalities cover almost same interval.

8 0

2 years ago