Do the ratios 9/6 and 2/1 form a proportion
1 answer:
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Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = =
= 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
The value of k is 3
Solution:
Let us first find the equation of the line f(x).
The points on the line are (-6, -2) and (0, 4).
Here,
Formula to find equation of a line:
Do cross multiplication.
y + 2 = x + 6
y = x + 4
f(x) = x + 4
Given that g(x) = f(kx)
g(x) = kx + 4
The point in the graph of g(x) is ( -2, -2).
g(-2) = k(-2) + 4
we know that g(-2) = -2.
-2 = -2k + 4
Subtract 4 from both sides.
-6 = -2k
Divide by -2 on both sides.
3 = k
k = 3
The value of k is 3.