Hi there!
Let the second angle be represented by x. Now, just use the given information to write expressions for each angle.
Angle 1:
The question says that it is 10 degrees less than the second angle. Therefore, it can be represented by the expression x - 10.
Angle 2:
Represented by x.
Angle 3:
As said in the question, the third angle is 2 times the second angle. This gives us the expression 2 × x, giving us 2x.
Now, take all the expressions and add them up and make them equal to 180 degrees, according to the Triangle Sum Theorem.
x + 2x + x - 10 = 180
4x - 10 = 180
4x = 190
/4 /4
x = 47.5
Therefore, the angle measures are 47.5 degrees, 2(47.5) = 95, and 47.5 - 10 = 37.5 degrees. Hope this helped!
Answer:
A
Step-by-step explanation:
I think it is a because if you mutiply and you will get your answer
Answer:
x=-2
Step-by-step explanation:
To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!
-6 + 5x = 6x - 7 Subtract 5x from both sides
-6 = x - 7 Add 7 to both sides
1 = x Switch the sides to make it easier to read
x = 1
Answer:
The two numbers can be -12 and 11, or 11 and -12.
Step-by-step explanation:
xy=-132
x+y=-1
-------------
x=-1-y
(-1-y)y=-132
-y-y^2=-132
-y^2-y-(-132)=0
-y^2-y+132=0
y^2+y-132=0
factor out the trinomial,
(y-11)(y+12)=0
zero property,
y-11=0, y+12=0,
y=0+11=11,
y=0-12=-12
x+11=-1 & x+(-12)=-1
x=-1-11=-12
x=-1-(-12)=-1+12=11
