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:
The answer would be -3.
Step-by-step explanation:
If you follow PEMDAS, the first set of parenthesis, (-4)(2), would equal -8. The next set of parenthesis, (10/2), would equal 5. Adding -8 and 5 together gives you -3.
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Timothy scored 83 out of 100.
His percentile rank in his class = 72
Clayton scored 85 out of 100.
His percentile rank in his class = 70.
Since Clayton's percentile rank is lower than Timothy's rank.
So, Timothy performed better with respect to the rest of the students in the class.
Hence, Timothy as his percentile score is higher.
Therefore, Fourth option is correct.
Answer:
Step-by-step explanation:
6x6=30 4x4=16 6x4=24
30+16+24= 70 inches square
