Answer:
1. Given.
2. Opposite Sides OF A Parallelogram Are Congruent.
3. Corresponding Angles Postulate.
4. Substitution
5. ASA Congruence Postulate
6. Definition Of A Parallelogram.
Step-by-step explanation:
Use the Pythagorean Theorem of a² + b² = c² to solve for x.
x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0
x = - 9, 6
Length cannot be negative so you can't use - 9.
x = 6. Option C is your answer.
Answer:
It cannot be further simplified
Step-by-step explanation:
11 is a prime number, so there are no numbers that can go into 14 and 11 (besides 1 and 1 would not simplify the problem)
We have expression 
that renders the system of inequalities,
Which can be simplified to,
So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,
![x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}](https://tex.z-dn.net/?f=x%5Cin%28%5Cinfty%2C-1%29%5Ccap%28%5Cinfty%2C%205%5D%3D%5Cboxed%7B%28%5Cinfty%2C5%5D%7D)
.
Hope this helps.
Answer:
2
Step-by-step explanation:
well first do 17-9= (17-7)-2=10-2=8
so 8=6+_
subtract 6 from both sides and you get
2=_
so the blank is 2
