1. For y, I think that refers to the first picture attached. As you can see, each side of the triangle have the same short line drawn across it. It means that they are equal in length. That means the triangle is equilateral, which means each interior angle is 60°. Thus,
60 = 5y + 10
5y = 60 - 10
5y = 50
y = 50/5 =<em> 10</em>
2. As you can see in the second picture attached, Angles B and C are equal. That also means that their respective opposite sides are equal. So,
8x - 4 = 5x + 11
8x - 5x = 11 + 4
3x = 15
x = 15/3 = 5
Consequently,
BC = 4x - 2
BC = 4(5) - 2 = <em>18</em>
Answer:
x = 6/√3 , y = 12/√3
Step-by-step explanation:
sin 60° = opposite /hypothenus
√3/2 = 6/y
cross multiply
√3y=6 x 2 = 12
y = 12/√3
Tan 60° = opposite/adjacent
tan 60° = √3
√3 = 6/x
√3x= 6
x = 6/√3
Answer:
the second one.
Step-by-step explanation:
Answer:
2+x=5
Step-by-step explanation:
i think dont bash me
For a line in the form:
In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:
Now, two lines are perpendiculars if the slopes satisfy the following equation:
So, for the line we want the slope is:
Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:
The equation of the line is y = 5x - 7
