Answer:
Step-by-step explanation:
Because the leftmost triangle is a 45-45-90 isosceles right triangle, 
The rightmost triangle is a 30-60-90 triangle, and the side lengths are in the proportion 
from shortest to longest. Therefore, 
Hello there!
In order to solve this system of equations, you would first need to make one equation have a negative variable.
2a + 3b = -1
(3a + 5b = -2) -1
2a + 3b = -1
-3a - 5b = 2
Now, we have to modify the equations for it to be able to cancel out a variable. To do this, you would need to look at the least common multiple.
2: 2, 4, 6, 8, 10
3: 3, 6, 9, 12, 15
One least common multiple would be 6 so let's modify the equation!
(2a + 3b = -1) 3
(-3a - 5b = 2) 2
6a + 9b = -3
-6a - 10b = 4
Now, let's cancel out the variable and solve for b.
9b = -3
-10b = 4
-1b = 1
b = -1
In order to solve for a, just plug in the b into one equation and solve for a.
2a + 3(-1) = -1
2a - 3 = -1
2a = 2
a = 1
The answer would be a = 1 and b = -1
5 and 3/4 and 3 and 1/2
5 and 3/4 to 3 and 1/2 is the answer
if y ou want to convert it to whole numbers then
5 and 3/4:3 and 1/2
convert mixed numbers to improper fractions
5 and 3/4=23/4
3 and 1/2=7/2
23/4:7/2
multiply both sides by 4 to clear fractions
23:14
answer is the ratio is 23:14
If the triangle is a right triangle, then
(3x)² + x² = (10)² .
9x² + x² = 100
10x² = 100
x² = 10
x = √10 = approx. 3.1622...
If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.
' x ' has to be greater than 2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .
So, if 2.5 < x < √10 , then there is a triangle, and it's obtuse.
