Answer:
Yes; they are congruent
SSS
Step-by-step explanation:
Here, we want to check if the given triangles are congruent
From what we have, we can see that all three sides are marked for both triangles
So the sides of the triangles are income
So therefore, the triangles are congruent by SSS
I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169
with I:
12x=5y
x=(5/12)y
-> substitute x in II:
((5/12)y+12)^2+(y-5)^2=169
(25/144)y^2+10y+144+y^2-10y+25=169
(25/144)y^2+y^2+10y-10y+144+25=169
(25/144)y^2+y^2+144+25=169
(25/144)y^2+y^2+169=169
(25/144)y^2+y^2=0
y^2=0
y=0
insert into I:
12x=0
x=0
-> only intersection is at (0,0) = option B
Answer:
9, 40 and 41
Step-by-step explanation:
All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.
Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.
I recommend starting with squares you are familiar with:
9² + 40²= 81 + 1600 = 1681
Now, take the √1681 to find the length of 'c', or the hypotenuse:
√1681 = 41
Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.
(5x²+4)–(5+5x³)
25x+4–5+125x
150x–1
Answer:
3x - 10 = -21
add 10 on both side
3x-10+10=-21+10
3x=-11
divide both side by 3
3x/3=-11/3
x=-11/3
Step-by-step explanation:
2. -22 - 4x = 12
add 22 on both side
-22+22-4x=12+22
-4x=36
divide both side by -4
-4x/-4=36/-4
c=-9 is your answer
