Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
Answer:
f=54
Step-by-step explanation:
ma is m times a 3x18= 54
Answer: 25kg
Step-by-step explanation:
18 + 29 = 47
72 - 47 = 25
She got 25kg of bananas.
Answer:
2.5
Step-by-step explanation:
The constant of probability is 16/6.4=2.5
Angle 1 is congruent to angles 3, 5, and/or 7
Angle 2 is congruent to angles 4, 6, and/or 8
Angle 5 is congruent to angles 7, 3 and/or 1
Angle 6 is congruent to angles 8, 4, and/or 2
Any of these answers could work for the blanks.
Angles 1 and 3, 2 and 4, 5 and 7, and angles 6 and 8 are congruent because they are vertical angles. They have the same vertex. Not all of these are congruent to each other if this doesn’t make sense. It’s only 1 is congruent to 3, 2 congruent to 4, etc.
Then you have your corresponding angles. These are ones like angles 2 and 6, then 1 and 5. You can also have 8 and 4, or 7 and 3 as corresponding angles
Transversal angles are different. This would be like angles 3 and 4, or 1 and 2. They are not always congruent. The only time they will be congruent is if they are both 90°. Transversal angles are essentially supplementary angles on the transversal line (the line that intersects through the set of parallel lines)
