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Murrr4er [49]
3 years ago
11

#20 The distance between the points (2, 8) and (4, 7) is

Mathematics
1 answer:
krok68 [10]3 years ago
6 0
D(A,B) = √5 ≈ 2.2361


A = (2,8)
B = (4,7)
d = distance

-----/\------/\------/\------

sqrt((x2-x1)^2+(y2-y1)^2)
which can be simplified to
sqrt(5)
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A bookstore sells textbooks for $80 each and notebooks for $4 dollars each. The bookstore would like to sell $800 in merchandise
mariarad [96]

Answer: 8 textbooks

Step-by-step explanation:

Sold 40 notebooks = 40 x $4 = $160

$800 - $160 = $640 left to sell

$640/$80 (cost of textbook) = 8 textbooks need to be sold

3 0
3 years ago
NO LINKS!!!
allochka39001 [22]

Part A

  • Converse = "If corresponding angles are equal, then two lines are parallel"
  • Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

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

Part B

  • Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
  • Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

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

Part C

  • Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
  • Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

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

Part D

  • Converse = "If John loses his money, then he throws coins in the fountain"
  • Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

8 0
1 year ago
Twice the sum of three and a number is 30. Find the number
DedPeter [7]

9514 1404 393

Answer:

  • 2(x +3) = 30
  • 12

Step-by-step explanation:

When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:

  2(x +3) = 30 . . . . an equation for the given conditions

__

We can solve this equation by dividing by 2:

  x + 3 = 15

  x = 12 . . . . . . subtract 3

The number is 12.

5 0
3 years ago
The school football team needs to raise at least $850 to buy new practice equipment. The team received a donation of $125 and al
navik [9.2K]

Answer:

182

Step-by-step explanation:

850-125=725

725/4=181.25

So you need at least 182 tickets sold.

4 0
3 years ago
If the coordinate of A is (0,-2) and the coordinate of B is (10,-6), then the midpoint of AB is (______).
balu736 [363]

Answer:

5, -4

Step-by-step explanation:

midpoint = x1 + x2/2 ,y1 + y2/2

= 0 + 10 /2 , -2 + -6/2

= 10/2 , -8/2

midpoint = 5, -4

4 0
3 years ago
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