Mario ordered a pizza for dinner when it arrived, mario quickly ate 1/8 of the pizza. while mario went to go get napkins. his pet poodle ate 1/3a.) write a numerical expression to show the fraction of the pizza that is left

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

Answer:

The graph of the rectangle missing in the question is shown in the figure attached.

Coordinates of the points are:

A(1,8)

B(4,5)

C(14,21)

D(17,18)

The area of the rectangle is AB*BD.

The length of a segment given two points (x1, y1) and (x2, y2) is computed as follows:

√[(y2 - y1)^2 + (x2 - x1)^2]

For segment AB:

√[(5 - 8)^2 + (4 - 1)^2] = √18

For segment BD:

√[(18 - 5)^2 + (17- 4)^2] = √338  

Then, the area is:

AB*BD = (√18)*(√338) = √(18*338) = √6084 = 78

Answer:

34 units

Step-by-step explanation:

34 units

D = dx2 + dy2 W = (5-10)2 + (10-5)2 W = (5)2 + (5)2 = 7.071 L = (5-12)2 + (10-17)2 L = (7)2 + (7)2 = 9.899 A = 2L+2W = (2)9.899+(2)7.071= 33.94 units

Her father's computer cost $2,000

- Katrina saved $200 to purchase her tablet

This means Katrina saved an amount of $200 to be able to purchase the tablet which cost $200

- Her father spent 10 times as much money time buy his new computer

Katrina father also purchased a new computer which cost is 10 times the amount that Katrina saved to purchase her tablet

- How much did her father's computer cost?

Her father's computer cost $2,000 ($200 X 10 times)

See related question here brainly.com/question/1787018