9514 1404 393
Answer:
- same-side interior
- (3x +4) +(2x +11) = 180
- 77°
Step-by-step explanation:
Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.
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Because the angles are supplementary, their sum is 180°. So, the equation ...
(3x +4)° +(2x +11)° = 180°
can be used to solve for x. Likewise, any of the possible simplifications of this can be use:
(3x +4) +(2x +11) = 180 . . . . . divide by degrees
5x +15 = 180 . . . . . . . . . . . collect terms
5x = 165 . . . . . . . . . . . . . subtract 15
x = 33 . . . . . . . . . . . . . . divide by 5
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Once we know that x=33, then the measure of angle 5 is found from its expression:
m∠5 = (2x +11)° = (2·33 +11)°
m∠5 = 77°
Answer with Step-by-step explanation:
we are given a event of rolling as die several times:
Outcome: [1 2 3 4 5 6]
Number of times outcome occurred: [10 6 4 8 6 6]
We have to find the experimental probability of rolling a 1 or a 5
number of times 1 or 5 came up= 10+6=16
and total number of outcomes= 10+6+4+8+6+6= 40
P( rolling a 1 or a 5)=
number of times 1 or 5 came up/ total number of outcomes
= 16/40
= 2/5
Hence, the experimental probability of rolling a 1 or a 5 is:
2/5
It would be a 7% chance that both of those would happen, I hope this helped ^^
