If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.
The answer is C.
Here's the correct solution:
Answer:
Explanation:
(3 × 10⁸) × 2 × 10³
3 × 10⁸ × 2 × 10³
3 × 2 × 10⁸ × 10³
6 × 10¹¹
In decimal: 600,000,000,000
Answer:
x = 8
Step-by-step explanation:
Formula for sum of interior angles is 180(n - 2)
For a 5 sided polygon the sum is;
180(5 - 2) =540°
The supplement of ∡ 59° = 180° - 59° = 121°
The supplement of ∡ 77° = 180° - 77° = 103°
The supplement of ∡ 66° = 180° - 66° = 114°
The supplement of ∡ 62° = 180° - 62° = 118°
The sum of the polygon is:
121° + 103° + 114° + 118° + (180 - 12x)° = 540°
456° + (180 - 2x)° = 540°
(180 -12x)° = 540° - 456° = 84°
12x = 180° - 84° = 96°
x = 96/12 = 8
Let's start with the given polynomial:
2x² - 12xy - 32y²
As a first step, we want to regroup 2:
= 2(<span>x² - 6xy - 16y²)
Now, we want to re-write the term -6xy in order to be able to perform a partial factoring. In this case, we can write:
-6xy = -8xy + 2xy
Therefore, the polynomial becomes:
= </span>2(<span>x² - 8xy + 2xy - 16y²)
Now we factorize x within the first two terms and 2y within the last two:
</span>= 2[x(x - 8y) + 2y(x - 8y)]
We can now regroup the common term:
=2(x - 8y)(x + 2y)
Your answer is hence B = 2
1 is 100 degrees
2 is 72 degrees
3 is 9 degrees
4 is 125 degrees
5 is 155 degrees
6 is 91 degrees
7 is x=28 degrees
8 is x=125 degrees
9 is x=35
10. angle 2 is 86 degrees (vertical angles)
11. angle 3 s 94 degrees (supplementary to angle 2)
12. angle 4 is 86 degrees (<4 and <2 are alt. interior angles and are congruent)
13. angle 6 is 86 degrees (<6 and <4 are vertical angles)
