Answer:
- x = 30°
- DB = 26
- AD = BC = AB = DC = 7
Step-by-step explanation:
- <em>Diagonals of a square are congruent and perpendicular and bisect each other</em>
<h3>Q4</h3>
m∠AEB = 3x
m∠AEB = 90°
<h3>Q5</h3>
AE = 3x - 2
EC = 2x + 3
- AE = EC
- 3x - 2 = 2x + 3
- 3x - 2x = 3 + 2
- x = 5
DB = EC = 2(AE) = 2(3*5 - 2) = 2(13) = 26
<h3>Q6</h3>
<u>AD and BC are the sides, which are equal</u>
- 2x - 1 = 5x - 13
- 5x - 2x = 13 - 1
- 3x = 12
- x = 4
AD = BC = AB = DC = 2*4 - 1 = 7
Answer:
the last one
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees
Answer = 180 - 142 = 38 degrees
Answer:
y = 5(x - 3)² + 2
Step-by-step explanation:
y = a(x - h)² + k
y = a(x - 3)² + 2
7 = a(4 - 3)² + 2
a = 5
y = 5(x - 3)² + 2
The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)