Answer:
Step-by-step explanation:
No, the simplified form is not rational.
Step-by-step explanation:
We have been given the expression 2square root of 3 + 3square root of 3 rational
We can easily simplify this expression by adding the terms. We can add the terms because both have the same radical.
On adding, we get 2√3 + 3√3 = 5√3
Now, we know that √3 is an irrational number. Now, we know that the product of rational and irrational is irrational . Hence, when we multiply a rational number 5 with irrational number √3 then the result would be irrational.
Hence, the simplified form is irrational
Answer:
-0.43
Step-by-step explanation:
100/-43
Presumably l and m are parallel, so n and p are transversals across parallel lines. They'll make the obvious congruent angles and supplementary angles (add to 180 degrees) that presumably the questions will be asking about.
1. Angle 11 and angle 16. They're what's called vertical angles from a pair of crossing lines. Vertical angles are congruent, so m∠16 = 113°
2. Angle 1 and 3. Those are corresponding angles on a traversal of parallels, also congruent. m∠3 = 78°. You got this one right, good.
3. 7 & 8. They're what's called a linear pair, so are supplemental. 180-129=51 so m∠8 = 51°. You probably just subtracted wrong on this one.
4. 10 & 11. I forgot what these are called; interior angles or some such. Anyway they're supplementary so 180-77=103. m∠11 = 103°
5. 13 & 12. I forgot the name here too but they're congruent so m∠12 = 59°
6. 2 & 7. Again congruent so m∠7 = 130°
7. I don't know why they insist on making geometry into algebra. Here we have angles 1 & 8, which are congruent, so
5x + 2 = 3x + 28
5x - 4x = 28 - 2
2x = 26
x = 13
247,039 rounded to the nearest thousand is 247,000
