<h3>Answer:</h3>
A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
<h3>Explanation:</h3>
The sum of angles in ∆ABC is 180°, so ...
... (2x -2) + (2x +2) + (5x) = 180
... 9x = 180
... x = 20
and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.
___
The sum of angles of ∆A'B'C' is 180°, so ...
... (58 -x) +(3x -18) +(120 -x) = 180
... x +160 = 180
... x = 20
and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.
_____
The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...
... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
Answer:
81,82,83
Step-by-step explanation:
What three consecutive integers have a sum of 246? Which means that the first number is 81, the second number is 81 + 1 and the third number is 81 + 2. Therefore, three consecutive integers that add up to 246 are 81, 82, and 83.
Answer:
-28/25 or -1 3/25
Step-by-step explanation:
Hope this helps
Answer:
17
Step-by-step explanation:
(7, 8) (-8, 0)
First find how much the point moved in y to the second point.
8-0=8
So one side is 8.
Then find how much it moved in x. 7-(-8)=15
So the other side is 15
This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared
8^2+15^2=c^2
64+225=c^2
289=c^2 Take the square root of both sides to solve for C
√289= √C^2
17 = c
