Remember
all angles add to 180
x+y+z=180
one is 2 times as another
x=2y
measure of 3rd angle (z) is 20 more than smalllest
since y has to be doubled to get x, y is smallest
z is 20 more than y
z=20+y
we have
x=2y
z=20+y
sub those
x+y+z=180
2y+y+20+y=180
4y+20=180
minus 20 both sides
4y=160
divide 4
y=40
sub back
x=2y
x=2(40)
x=80
z=20+y
z=20+40
z=60
the angles are
80 degrees, 40 degrees, 60 degrees
Answer:
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Step-by-step explanation:
The given question is :
8 = 4 * 2
32 = 16 * 2
∴
= 
=
Answer:
2x + 7x – 10
2x2 + 9x – 7
Step-by-step explanation:
Answer:
Infinitely many solutions
Step-by-step explanation:
y = -1/6x + 5
x + 6y = 30
We can solve this system by using substitution or elimination. Since we are given an isolated y-value, I'll be using the substitution method.
Substitute y = -1/6x + 5 into the second equation for y.
Distribute 6 inside the parentheses.
Combine like terms.
Since this is a true statement, we can conclude that this system has a solution of all real numbers, or infinitely many solutions.
We can also see that these equations are indeed equivalent by multiplying the top equation by 6.
6 * (y = -1/6x + 5) → 6y = -x + 30
Adding x to both sides and rearranging terms gives us x + 6y = 30, which is the same as the second equation.
Answer:
the missing side of the rectangle should be twelve
Step-by-step explanation:
