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Answer:
x=70
Step-by-step explanation:
Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).
We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:
x+35=105
Subtract both sides by 35
x+35-35=105-35
x=70
Therefore, the value of x is 70 degrees.
I hope this helps!
Answer:
(-15)/3 = -5
Step-by-step explanation:
(-15)/3
Assume that your positive tiles are yellow, and your negative tiles are red.
The question is asking, "if you take 15 red tiles and split them into three equal groups, how many will you have in each group?"
How can you model the first value of -15? With 15 red tiles.
Let’s model how to divide the tiles into three equal groups by moving one tile at a time into three separate groups until all 15 tiles have been moved.
Step 1.
Start with 15 red tiles, as in the first picture.
Step 2.
Start by moving tiles one at a time to begin creating three new groups.
The middle picture shows the situation after you have moved the first three tiles.
Step 3.
Continue moving tiles one at a time from the original group and stacking them evenly in the three new groups until you have no more tiles to move.
The third picture shows the situation when you have finished.
How many red tiles are in each group? There are five.
Is the answer positive or negative? The answer is negative, because there are five red negative tiles in each group.
Conclusion? (-15)/3 = -5
