Answer:
Rearrange the equations that result from use of the Pythagorean theorem.
Step-by-step explanation:
Transversal AB crossing parallel lines AD and BC makes supplementary interior same-side angles A and B. Since A = 90°, B must be 90°. The Pythagorean theorem then applies in the right triangles ABC and ABD.
We can use that theorem to write two expressions for AB^2:
BD^2 -AD^2 = AB^2 = AC^2 -BC^2
The middle expression, AB^2, isn't needed beyond this point. Adding (AD^2 -AC^2) to both sides of the equation gives the desired result:
BD^2 -AC^2 = AD^2 -BC^2
step 1: open brackets n rmb to flip the signs
step 2 (optional): rearrange to make the equation clearer to add/minus
length of 3rd side:
(8x + 3) - (2x + 1) -(5x + 2)
= 8x + 3 - 2x -1 - 5x -2
= 8x -2x -5x +3 -1 -2
= x
Therefore, length of 3rd side is X cm.
---
If perimeter = 75cm,
8x +3 = 75
8x = 75-3
8x = 72
x = 9 cm
Therefore,
1st side = 2(9) +1
= 19 cm
2nd side = 5(9) +2
= 47 cm
3rd side = 9 cm
The correct answer is C (7, 9)
Firstly we know that each point is 6 away from the other in terms of x and in terms of y. Now we also know that for every 6, we will be one away from point B and five away from point A. We know this because the ratio is AB 5:1, meaning that the 5 is on the A side (they both come first).
So, we can just add 5 to each of the A value numbers to get point P.
A = (2, 4)
P = (2+5, 4+5)
P = (7, 9)
Answer:
It would take about 2 hours or 120 minutes
Answer:
angles b and c should be 153° each.
Step-by-step explanation:
We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°