These words are represented as homophones as they sound alike but have the different meanings.
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
Answer:
-5 and 17
Step-by-step explanation:
The sum of two numbers (let's just say number a and number b) is 12.
a + b = 12
The difference between the same two numbers (still a and b) is 22.
b - a = 22
(Move variable a to the right side to get the following.)
b = 22 + a
(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)
a + (22 + a) = 12
a + a + 22 = 12
2a = -10
a = -5
a + b = 12
-5 + b = 12
b = 17
