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sashaice [31]
3 years ago
6

On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?

Mathematics
2 answers:
erastova [34]3 years ago
4 0

Answer:

In other words to what the dude above me said, the answer is "a''

Step-by-step explanation:

pogonyaev3 years ago
3 0
Shortest Distance = \sqrt{ (-4+2)^{2} + (3+1)^{2} }
Shortest Distance = \sqrt{ (-2)^{2} + (4)^{2} }
Shortest Distance = \sqrt{20}
Shortest Distance = 4.47 units
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1. Remember what we know about vertical angles and solve for x. (SHOW WORK)
EastWind [94]

Answer:

Ans.1.)      X = 7.

Ans.2.a.)  AC =JL.

Ans.2.b.)  BC = KL.

Step-by-step explanation:

For Question 1.

As we know vertically opposite angles are equal.

\therefore (x+16)\° = (4x-5)\°\\\therefore (5+16)\° = (4x-x)\°\\ \therefore (3x) = (21)\\\therefore x = 7\\

For Question 2.a)

In\ \triangle ABC and \triangle JKL \\AB \cong JK\ \textrm{Given}\\\angle CAB \cong \angle LJK\ \textrm{each measure angle of 90\°}\\AC \cong JL\ \textrm{this is the required information to prove the triangles are congruent by SAS postulate}\\\therefore \triangle ABC \cong \triangle JKL\ \textrm{ By SAS postulate}

For Question 2.b)

In\ \triangle ABC and \triangle JKL \\AB \cong JK\ \textrm{Given}\\\angle CAB \cong \angle LJK\ \textrm{each measure angle of 90\°}\\BC \cong KL\ \textrm{this is the required information to prove the triangles are congruent by HL Theorem}\\\therefore \triangle ABC \cong \triangle JKL\ \textrm{ By Hypotenuse length Theorem}

3 0
3 years ago
Please help me with this geometry problem, tysm
mixas84 [53]

9514 1404 393

Answer:

  • x = 6
  • ∠NBS = 68°

Step-by-step explanation:

The sum of the two adjacent angles is equal to the angle that includes both.

  ∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem

  (12x -4) +42 = (17x +8)

  30 = 5x . . . . . . . . . . . . . . subtract 12x+8

  6 = x . . . . . . . . divide by 5

__

Then the measure of ∠NBS is ...

  ∠NBS = 12x -4 = 12·6 -4

  ∠NBS = 68 . . . . degrees

4 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5 . If there were
AlekseyPX

Answer:

The total number of votes= 9999

Step-by-step explanation:

The ratio of vote specifically the ratio of yes to no vote in a city vote is 6 to 5.

There is a total of 4545 no votes.

Yes/no = 6/5

Yes= no(6/5)

Yes= 4545(6/5)

Yes= 5454

The total number of yes votes are 5454.

The total number of votes= yes votes+ no votes

The total number of votes= 5454+4545

The total number of votes= 9999

5 0
3 years ago
June has $1.95 in dimes and nickels. She has a total of 28 coins. How many of each type of coin does she have.
Verdich [7]

A dime = 0.10

A nickel = 0.05

N + D = 28 coins

Rewrite this as N = 28 -D


0.10D + 0.05N = 1.95

Replace N withe the rewritten equation above:

0.10D + 0.05(28-D) = 1.95

Use the Distributive Property:

0.10D + 1.4 - 0.05D = 1.94

Add the like terms:

0.05D + 1.4 = 1.95

Subtract 1.4 from both sides:

0.05D = 0.55

Divide both sides by 0.05

D = 0.55 / 0.05

D = 11

Nickels = 28 - 11 = 17


There are 11 dimes and 17 nickels.


3 0
3 years ago
Read 2 more answers
What will it cost to buy a rectangular window with a length of 10ft and a width of 13ft? The cost per square foot for this type
Bad White [126]

Answer:i need points

Step-by-step explanation:

4 0
3 years ago
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