x = 20 is the answer.
<u>Step-by-step explanation:</u>
When a parallel lines cut by a transversal, then the alternate exterior angles are congruent.
So the given 2 angles add up to 180 degrees.
5x+ 9 + 3x+ 11 = 180
8x + 20 = 180
8x = 180 - 20 = 160
x = 160/8 = 20
That questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
<span>= 6 + 3/4
</span>= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters
The probability that a player will be asked a math question and then a music question is 0.03125
<h3>How to determine the probability?</h3>
The size of the sections are given as:
Music = 0.5
Sport = 0.5
Others = 1
So, the total size is:
Total = 0.5 + 0.5 + 1 + 1 + 1
Evaluate
Total = 4
The probability of asking a math question is:
P(Math) = 1/4 = 0.25
The probability of asking a music question is:
P(Music) = 0.5/4 = 0.125
The required probability is:
P(Math and Music) = P(Math) * P(Music)
This gives
P(Math and Music) = 0.25 * 0.125
Evaluate
P(Math and Music) = 0.03125
Hence, the probability that a player will be asked a math question and then a music question is 0.03125
Read more about probability at:
brainly.com/question/25870256
#SPJ1
Step-by-step explanation:
steps are in picture above.
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