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 ∵ ]
Answer:
AC = 38
Step-by-step explanation:
A mid point divides a line in 2 equal parts. That means that one segment is equal to the other.
6x + 1 = 3x + 10 Subtract 3x from both sides
6x-3x + 1 = 3x -3x + 10 Combine
3x + 1 = 10 Subtract 1 from both sides
3x + 1 -1 = 10 - 1
3x = 9 Divide by 3
3x/3 = 9/3
x = 3
6x + 1 = 6*3 + 1 = 19
3x +10= 3*3 + 10 = 19
Both segments are 19 units long
AC = 19 + 19 = 38
Answer:
$40 in euros!
Step-by-step explanation:
Answer: (1,5) (...midpoint..., ...negative reciprocal...)
Step-by-step explanation:
What is the line of reflection? It is the line across which the point is reflected. By definition of reflection, the distance of the preimage and the image from this line are the same. Since the distances are the same, they meet exactly halfway from each other. This means if you find the midpoint of the preimage and image you find a point on the line of reflection. But one point is not enough. Slope or another point is necessary. Slope is a lot easier to get.
Think about it. The line of reflection will always be perpendicular to the line connecting the preimage and image. Therefore its [line of reflection] slope will be the negative reciprocal of the slope of the preimage and image. Now you have slope and a point and thus a defined line of reflection
Hope this is helpful :)
Answer:
The first option
Step-by-step explanation:
First, we can convert all of the numbers to decimal from (it will be easier to understand that way).
Now, we can easily see which numbers are bigger/smaller.