Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
Answer:
17. a) (4x - 8)(6x+ 7); b) 20x - 2
18. a) (2x² + 3x - 5)(2x + 3); b) 4x² + 10x - 4
Step-by-step explanation:
Question 17
a) Area
Area = length × width
A = (4x - 8)(6x+ 7)
b) Perimeter
Perimeter = 2 (length + width)
P = 2(4x - 8 + 6x + 7) = 2(10x - 1) = 20x - 2
Question 18
a) Area
A = (2x² + 3x - 5)(2x + 3)
b) Perimeter
P = 2(2x² + 3x - 5 + 2x + 3) = 2(2x² + 5x - 2) = 4x² + 10x - 4
Answer:
The solutions are -2 and 3
Step-by-step explanation:
You can find the solutions to a quadratic by looking at where the line/arch intersects the x-axis. In this case, the quadratic intersected it at -2,0 and 3,0.
Answer:
y - 9 = -14 (x + 2)
Step-by-step explanation:
Point-slope form --> y - y1 = m ( x - x1)
slope = -14
y1 = 9
x1 = -2
Let's put the values all together:
y - 9 = -14 (x - - 2)
y - 9 = -14 (x + 2) ---> final answer
