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lozanna [386]
3 years ago
12

Use the figure below to find the value of x and PQ.

Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Answer:

x=14

PQ=46

Step-by-step explanation:

PT and TQ are equal, so we can set up the equation like this: PT=TQ

23=2x-5

calculate to find x

x=14

PQ is just PT+TQ so 23+23=46

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Recall that two shapes are congruent if they have the same shape and size. When two shapes have the same shape but different sizes, we call the shapes similar. You can also think of similar objects or shapes as scaled versions of each other.
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3 years ago
An Olympic diver jumps off of a platform that is 10 meters high. The diver goes 2 meters underwater after a dive. How far is it
grandymaker [24]

Answer:

12 meters far.

Step-by-step explanation:

The question translates to 10+2. The word problem states that the height of the platform is 10 meters. That means we can say that he'd have already traveled 10 meters down when he dived. And the problem also states that the diver goes two meters under the water, meaning that he had traveled 2 meters, in addition to the 10 meters. And so, we add the 10 and 2 to get 12 meters in total.

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Katarina [22]

Answer:

<em>The Washington High School won the meet by scoring 162 points </em>

<em>The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.</em>

Step-by-step explanation:

<u>Arithmetics </u>

We need to perform a number of basic arithmetics operations and derive conclusions out of the results.

We know that

  • 10 points are awarded for each first-place finish
  • 8  points are awarded for each second-place finish
  • 7  points are awarded for each third-place finish

* Washington High School had 10 first-place finishes, 6 second-place finishes, and 2 third-place finishes.  

Total points: 10*10+6*8+2*7=162 total points

* Johnson High School had 8 first-place finishes, 9 second-place finishes, and 1 third-place finish.

Total points: 8*10+9*8+1*7=159 total points

* Roosevelt High School had 4 first-place finishes, 5 second-place finishes, and 4 third-place finishes.

Total points: 4*10+5*8+4*7=108 total points

* Lewis High School had 3 first-place finishes, 3 second-place finishes, and 6 third-place finishes.

Total points: 3*10+3*8+6*7=96 total points

The Washington High School won the meet by scoring 162 points

The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.

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3 years ago
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The answer to this is 8.
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3 years ago
A pizza costs $18.<br> a soda costs $2.50 .<br> Tax is 10%. What<br> is the total spent
horrorfan [7]
18+2.50=20.50 so tax is 10% so you can put that into a calculator as 20.50*0.10 which equals 2.05 so just add 20.50 and 2.05 which is 22.55 is your final answer
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