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LiRa [457]
2 years ago
6

Can you help me with this, please? Thanks in advance ​

Mathematics
1 answer:
ololo11 [35]2 years ago
7 0

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

<u>Supplementary angles add up to 180°.</u>

  • m∠TRU = 180° - 82° = 98°

Consider ΔRTU

<u>∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:</u>

  • m∠TRU + m∠RTU = m∠RUV
  • 98° + m∠RTU = 155°
  • m∠RTU = 155° - 98° = 57°
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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an
denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455

Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4

Total number of possible results:

results = 4*455\\results = 1820

3 0
3 years ago
CAN ANYONE HELP WITH THESE? BRAINLIEST ANS
Sonbull [250]
The answer to the first one is a

3 0
3 years ago
Is there a triangle that one side of length 4 inches , one side of length 2 inches and one side of length 1 in? Explain
rewona [7]

According to the Triangle inequality theorem, this does not work

For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.


In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.

3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.

--------------------------------------------------------

Answer

This triangle does not work, because the sum of the lengths of any two sides of a triangle is  <u>NOT</u>  greater than the length of the third side.

3 0
3 years ago
The 400ths power of number is 9^1000 what is the number
chubhunter [2.5K]
\bf (9^{1000})^{400}\implies 9^{1000\cdot 400}\implies 9^{400000}
4 0
3 years ago
What is the image point of (4,−7) after a translation right 4 units and up 5 units?
Liono4ka [1.6K]

Answer:

(8, - 2 )

Step-by-step explanation:

A translation of 4 units right means add 4 to the x- coordinate

A translation of 5 units up means add 5 to the y- coordinate

(x, y ) → (x + 4, y + 5 ) ← translation rule, then

(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )

5 0
3 years ago
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