Answer:
30 miles
Step-by-step explanation:
Before finding the perimeter of the given right angled triangle, we need to find the length of a.
We'll be using pythagoras property to find the value of a.
According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.
Here,
- Hypotenuse = 13 mi
- Base = 12 mi
- Perpendicular (a) = ?
→ H² = B² + P²
→ H² - B² = P²
→ (13 mi)² - (12 mi)² = a²
→ 169 mi² - 144 mi² = a²
→ 25 mi² = a²
→ √(25 mi²) = a
→ <u>5 mi = a</u>
We know that,
- Perimeter of ∆ = Sum of all sides
→ Perimeter = 13 mi + 12 mi + a
→ Perimeter = 13 mi + 12 mi + 5 mi
→ Perimeter = 30 miles
<u>Perimete</u><u>r</u><u> </u><u>of</u><u> </u><u>the </u><u>triangle</u><u> </u><u>is</u><u> </u><u>3</u><u>0</u><u> </u><u>mi</u><u>l</u><u>e</u><u>s</u><u>.</u>
Step-by-step explanation:
The slope of a line connecting two points is:
m = (y₂ − y₁) / (x₂ − x₁)
The slope of line 1 is:
m = (4 − 0) / (7 − 1)
m = 2/3
The slope of line 2 is:
m = (6 − 0) / (3 − 7)
m = -3/2
Parallel lines have equal slopes.
Perpendicular lines have opposite inverse slopes.
2/3 and -3/2 are opposite inverses, so the lines are perpendicular.
Answer:
both camlps
Step-by-step explanation:
9/20 is bigger than 19/46, because you can see and tell, you can also use methods, which I used to check if I was correct and I was!