Answer:
The correct answer is 54.
1. Use Difference of squares: a^2-b^2=(a+b)(a-b)
(x+k)(x-k)=0
2. Solve for x and k
x=+-k
k=+-x
Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
Answer:
Solution
x = 90
Step-by-step explanation:
Combine multiplied terms into a single fraction
4
9
+
1
5
⋅
=
5
8
\frac{4}{9}x+\frac{1}{5} \cdot x=58
94x+51⋅x=58
4
9
+
1
5
⋅
=
5
8
\frac{4x}{9}+\frac{1}{5} \cdot x=58
94x+51⋅x=58
2
Combine multiplied terms into a single fraction
3
Multiply by 1
