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FinnZ [79.3K]
3 years ago
12

Solve 10-13 find each measurement

Mathematics
2 answers:
vredina [299]3 years ago
7 0

Answer:

10)17.5

11)18

12)70

13)110

Mariulka [41]3 years ago
7 0

Problem 10

<h3>Answer: RS = 17.5</h3>

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

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

Problem 11

<h3>Answer: QT = 18</h3>

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

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

Problem 12

<h3>Answer: angle PQR = 70 degrees</h3>

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

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

Problem 13

<h3>Answer: 110 degrees</h3>

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

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Answer:

Logan has the greater probability of winning

Step-by-step explanation:

Colton=1/20

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So the probability of Colton is 0.05

Logan=15%

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So the probability of Logan is 0.15

When comparing the two,it was observed that the Logan has greater probability of winning

4 0
3 years ago
Type the correct answer in the box. Round your answer to two decimal places.
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Step-by-step explanation:

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4 0
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4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets
zhuklara [117]

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

4 0
3 years ago
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