Answer:
43°
Step-by-step explanation:
In a isosceles triangle, two angles HAVE to be equal.
This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.
Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)
94+94+x=180
188+x=180
There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.
x+x+94=180
2x+94=180
Subtract 94 from both sides
2x=86
Divide both sides by 2
x=43
Therefore the answer is 43°
Answer:
part A: 3yx
Part B: (x+y)+z
C: 3xy-6x
Step-by-step explanation:
Commutative property: change the orders in which numbers are multiplied
associative: when all the integers are in addition you can add parentheses wherever u like
distributive: multiply the number just outside the parentheses with the every numbers inside the parentheses
Hope this heps!
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
Is this really a school question or is it just you being weird?
9514 1404 393
Answer:
f(g(x)) = -3x^2 -2x -3
Step-by-step explanation:
<u>Given</u>:
f(x) = -x-7
g(x) = 3x^2 +2x -4
<u>Find</u>:
f(g(x))
<u>Solution</u>:
Substitute per the function definitions.
f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7
f(g(x)) = -3x^2 -2x -3
