Answer: Choice A) Obtuse
The angle 126 degrees is larger than 90 degrees. Any time you have a triangle with one angle larger than 90 degrees, you'll always have an obtuse triangle. This is by definition of what "obtuse triangle" means.
We can use a system of equations in order to solve for both of the numbers. Let's start off by assigning variables to each number. The bigger number can be 'x', and the smaller number can be 'y'.
We can make two equations from the given:
x = 18 + y
("One number is 18 more than another number")
x + y = 36
("The sum of the numbers is 36")
If you look at the first equation, the variable 'x' already has a value (18 + y). We can input its value into the second equation in order to solve for y:
x + y = 36
(18 + y) + y = 36
18 + 2y = 36
2y = 18
y = 9
Input the value of 'y' into the first equation:
x = 18 + y
x = 18 + 9
x = 27
<u>One number is 27 and the other number number is 9.</u>
<u></u>
Let me know if you'd like me to explain anything I did here.
- breezyツ
Answer:
Step-by-step explanation:
3x=6x-2
Subtract '3x' from both sides
0=3x-2
Add '2' to both sides
2=3x
Divide by 3
x=2/3
If you need the answer in decimal form divide 2 by 3
we know the perimeter is 24, and is an equilateral triangle, so it has three equal sides, so each side is 24 ÷ 3 = 8.
Answer:
The two numbers are 64 and 8.
Step-by-step explanation:
You meant "quotient" of two numbers, right?
Represent the numbers by x and y.
Then the quotient is x/y = 8, and beyond that we know that x + y = 72.
Solve this for x and y.
If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:
(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.
Since x/y = 8, letting y = 8 results in x = 64.
The two numbers are 64 and 8.
