We know CXD form a 90 degree angle, plus 32 that is angle BXC
90+32=122
We also know XH bisects this angle, which means it cut it in half,
122/2= 61
Answer: 61
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
Answer:
in three hours he would have used up 3.75 gallons of gas. He would have 6.25 gallons of gas left in his tank after driving 3 hours.
Step-by-step e
Answer:
$2561.99 a quarter
Step-by-step explanation:
Just add together what they pay every year, then multiply by 25.5% (because that's the quarterly premium.)
Annual cost = insurance + dental + vision
= 8900 + 772 + 375 = $10047 a year.
Quarterly cost = 25.5% of annual cost
Whenever you see of, think of multiplication!
25.5% = .255
Quarterly cost = .255 * 10047 = <u>$2561.99 a quarter</u>
