Answer:
6.1
Step-by-step explanation:
Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.
The short leg of these triangles (the base) is half the side length: ½ s.
According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.
Area of a triangle is half the base times the height:
A = ½bh
8 = ½ (½ s) (½ s√3)
8 = ⅛ s²√3
64 = s²√3
s² = 64/√3
s = √(64/√3)
s ≈ 6.1
Answer:
y=−4/3x+10
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to 3x−4y=−2.
Answer:
x=-2
Step-by-step explanation:
You can substitute the first equation into the second:
-3x+3=5x+19
Add 3x on both sides:
3=8x+19
Subtract 19 on both sides:
-16=8x
Divide 8 on both sides:
x=-2
If QR is a median, then:
We have NO = 30, MP = 9x - 42 and QR = x + 15. Substitute:
<h3>Answer: A. 6</h3>
