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Korolek [52]
3 years ago
11

At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How l

ond did it take to complete each game? Use letters to represent the unknowns.
Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer: game 1  10 mins game 2 22

Step-by-step explanation:

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Find the value of each variable. If you give the decimal value, round to the nearest tenth.
DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2

⇒ 6^2+\text{opposite}^2=12^2

⇒ 36+\text{opposite}^2=144

⇒ \text{opposite}^2=108

⇒ \text{opposite}=6\sqrt3=10.4

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0
3 years ago
Which ordered pair is a solution of this equation? -6x + y = 35 Click on the correct answer. (-1,-7 (-6,-1) (-1,-6) (-7,-1)​
nikklg [1K]

Answer:

The ordered pair (-6, -1) is the only solution.

Step-by-step explanation:

-6x + y = 35

Let's plug in the points.

(-1, -7) --> -6(-1) - 7 = 6 - 7 = -1 which does not equal 35

(-6, -1) --> -6(-6) -1 = 35

(-1, -6) --> -6(-1) - 6 = 0 which does not equal 35

(-7, -1) --> -6(-7) - 1 = 41 which does not equal 35

8 0
3 years ago
Pi is a mathematical term that has a numerical value of 3.14 how would this number be written in expanded form.
igomit [66]
3 + 0.1 + 0.04

equals

3.14
7 0
3 years ago
Identify the rational numbers as positive or negative.
N76 [4]

Answer:

Step-by-step explanation:

We have to follow these rules:

+/+ = +

-/- = +

+/- = -

-/+ = -

so

positive numbers:

+2/+3 ; -2/-3 ; -1/-3 ; +1/+3

negative numbers:

+2/-3 ; -2/+3 ; -1/+3 ; +1/-3

4 0
3 years ago
Which of the following data sets represents a linear function?
Leokris [45]

Answer:

C

Step-by-step explanation:

to be a linear function the change in X and the change in Y has to be the same hence slope

A. x changes by+ 1 see 2,3,4,5, and y changes by +5, +7, +9 so A is not a linear function

B. X changes by -1 in all, y changes +1 for first 3 then -1 last, so B is not a linear function

C. X changes by +1 for all and y changes by -6 for all so is it is a linear function

D x changes by +1 for all and y changes by -1, +1, +3 so no linear fn.

7 0
3 years ago
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