Answer:
A)
B) Angle relationship used to find was alternate interior angles of a traversal between two parallel lines
Step-by-step explanation:
Given :
To find measure of .
Part A
From the figure we can say:
[Alternate interior angles are congruent]
∴ [By substitution ∵ ]
For Δ PQR
[Sum of two interior angles of a triangle is equal to the opposite exterior angle]
[By subtraction property of equality]
[By substitution ∵
Part B:
We used the angle relationship of alternate interior angles of traversal between two parallel lines to find measure one angle of the Δ PQR which in turn helped us to find the measure of other angle of triangle which is as the two angles found are opposite to the exterior angle that is =120°
Relation used:
[Alternate interior angles are congruent]
[By substitution ∵ ]
Subtract the year the pilgrims sailed from the year you want to find the distance from:
2040 - 1620 = 420 years.
Numbers are 5 and 7
Step-by-step explanation:
- Step 1: Let the two consecutive odd integers be x and x + 2. Their sum = 12
x + x + 2 = 12
2x + 2 = 12
2x = 10
x = 5
and x + 2 = 7
9514 1404 393
Answer:
-16
Step-by-step explanation:
The absolute value function gives the positive value of the argument, so this is ...
-4|-4| = -4·4 = -16
3 x 7 because three, seven times is 21