Answer:
78
Step-by-step explanation:
Ed2020
1/9 of total marbles = 1/9 × 36 = 4
so Alexis gave 4 marbles to Sara.
And so Alexis is left behind with 32 (36-4) marbles and so Sara have 4 marbles now
Answer:
Secants – 1. <CBG 2. <AGF 3. <ABD
Tangent – 1. <CDE
Chords – 1. <BD 2. <DF 3. <BG 4. <BF 5. <GD 6. <FG
Angles – 1. 45 2. 75 3. 35 4. 70 5. 75 6. 55 7. 50 8. 25 9. 35 10. 70 11. 50 12. 25 13. 70 14. 50. 15. 60 16. 85 17. 95 18. 85 19. 95
Step-by-step explanation:
For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this

And you can simplify by eliminating the fours and multiplying straight across

You can pull out - 7 from the top and 2 from the bottom so you have this

And then you can cancel out to (2-x) to get an answer of