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Mnenie [13.5K]
3 years ago
8

TRIANGLE CONGRUENCE! PICTURE ADDED. How is QTP congruent to SPT?

Mathematics
1 answer:
shtirl [24]3 years ago
5 0

Answer:

The triangles are congruent because:

  1. QP = ST
  2. angle P = angle T
  3. the side PT is in both triangles

We know when 2 sides of two triangles and the angle between them is congruent, the triangles are congruent.

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9 to the 7th power

Step-by-step explanation:

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At a football game, Ben purchased x hot dogs and y drinks. He spent a total of $30.70. The equation below describes the relation
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So I had to reread this about 3 times before it finally clicked, I've never done a problem like this before. An ordered pair is organized like so: (x-coordinate, y-coordinate) Meaning x=4 and y=6. If x=hot dogs and y=drinks then this means that Ben purchased 4 hot dogs and 6 drinks at the game. 

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3 years ago
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2-pound bags of peanuts
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3 0
3 years ago
Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0
3 years ago
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