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mr Goodwill [35]
2 years ago
9

What is the difference from c(2,-1) to d(5,3) a.5 units b.25 units c. 1 unit d.

Mathematics
1 answer:
Naddika [18.5K]2 years ago
6 0
<h3>Answer: A) 5 units</h3>

====================================================

Explanation:

The two points given are

C = (x1,y1) = (2,-1)

D = (x2,y2) = (5,3)

Use the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-5)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\

The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.

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1.) List all interior angles (see image)
Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0
2 years ago
Sarah had invested $800 in a savings account that paid 4.2% interest compounded annually. How much money was in the account afte
schepotkina [342]

Answer:  $943.11

<u>Step-by-step explanation:</u>

Compound Interest formula is:   A=P(1+r)^t     where

  • A is the Accrued amount (total earned)
  • P is the Principal (amount initially invested)
  • r is the interest Rate (convert percent to a decimal)
  • t is the Time (number of years)

It is given that; P = 800    r = 4.2% (0.042)       t = 4

A = 800(1 + 0.042)⁴

A = 800(1.042)⁴

A = 943.106   →   A = 943.11 (rounded to the nearest penny)

Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11

5 0
3 years ago
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