The answer would be -x^2 + 6x - 3/2
Answer:
25
Step-by-step explanation:
2 out of 12 means also 1 out of 6.
so, a ratio of 1:6 or a factor of 1/6.
150 × 1/6 = 150 / 6 = 25
so, we expect that out of the 150 sold cars 25 have been red.
Answer: the answer is 12
Step-by-step explanation:
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Answer: 15°.
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- x²+y²<span>=74
xy=35
2. Therefore, you have that (x-y)</span>² is:
=(x-y)²
=x²-2xy+y²
=(x²+y²)-2xy
3. When you substitute the values given in the problem, you obtain:
=74-2(35)
=74-70
=4
4. Therefore, as you can see, the correct answer is: 4
