Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)
Answer:
Step-by-step explanation:
1. y = -2x + 7
2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)
3. -2y = -x + 6
4. divide entire equation by 2 to isolate y
5. -y = -x + 3
6. multiply entire equation by -1 to make it positive
7. y=x+3
8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)
9. Where the lines intersect is your answer
Answer:
y = 5x-1
Step-by-step explanation:
parallel lines have the same slope.
y intercept: -1
slope: 5
- 1 is the same as +-1
so, y = 5x-1
Answer: 320 g
Step-by-step explanation:
We can set up a ratio.
Let the amount of oats equal to x.
18/240 = 24/x
We can now cross multiply.
18x = 5760.
x = 320 g
